Maple 18 Questions and Posts

These are Posts and Questions associated with the product, Maple 18


 

restart

sigma := 7.500*10^7+2.005*10^7*sinh(22985.642*z)-2.097*10^7*cosh(22985.642*z)

75000000.00+20050000.00*sinh(22985.642*z)-20970000.00*cosh(22985.642*z)

(1)

sigma_debond := 5.403*10^7

54030000.00

(2)

mid := 0.1653e-3

0.1653e-3

(3)

L := 0.2184e-3

0.2184e-3

(4)

plot(sigma, z = mid .. L)

 

plot(sigma_debond, z = 0 .. mid)

 

``


 

Download join_curves.mw


 

restart; eq2 := ef*epsilon+x1*sinh(y1*L/r1)+x2*cosh(y1*L/r1)-.1*(ef*epsilon+x2) = 0; eq3 := ef*epsilon+x1*sinh(-y1*L/r1)+x2*cosh(-y1*L/r1)-.1*(ef*epsilon+x2) = 0; sol1 := solve({eq2, eq3}, {x1, x2})

.9*ef*epsilon+x1*sinh(y1*L/r1)+x2*cosh(y1*L/r1)-.1*x2 = 0

 

.9*ef*epsilon-x1*sinh(y1*L/r1)+x2*cosh(y1*L/r1)-.1*x2 = 0

 

{x1 = 0., x2 = -9.*ef*epsilon/(10.*cosh(y1*L/r1)-1.)}

(1)

assign(sol1); 1; x1, x2

0., -9.*ef*epsilon/(10.*cosh(y1*L/r1)-1.)

(2)

x1;

0.

(3)

x2;

-9.*ef*epsilon/(10.*cosh(y1*L/r1)-1.)

(4)

eq4 := ef*epsilon+x1*sinh(y1*z/r1)+x2*cosh(y1*z/r1);

ef*epsilon-9.*ef*epsilon*cosh(y1*z/r1)/(10.*cosh(y1*L/r1)-1.)

(5)

avg_eq4 := Typesetting:-delayDotProduct(1/L, int(eq4, z));

1/L.(ef*epsilon*z-9.*ef*epsilon*r1*sinh(y1*z/r1)/((10.*cosh(y1*L/r1)-1.)*y1))

(6)

Ecomp := Typesetting:-delayDotProduct(simplify((eval(subs(z = L, avg_eq4)-subs(z = 0, avg_eq4)))/epsilon), Vf)+(1-Vf)*Em;

(1/L.(ef*epsilon*(10.*L*y1*cosh(y1*L/r1)-L*y1-9.*r1*sinh(y1*L/r1))/((10.*cosh(y1*L/r1)-1.)*y1)))/epsilon.Vf+(1-Vf)*Em

(7)

tau := .5*(diff(eq4, z))*r1;

-4.5*ef*epsilon*sinh(y1*z/r1)*y1/(10.*cosh(y1*L/r1)-1.)

(8)

L := lfact*r1;

lfact*r1

 

0.65e-5

(9)

ef := 0.75e11;

0.75e11

 

0.326e10

 

.3

 

.5

(10)

Theo_Ecomp := Vf*ef+(1-Vf)*Em;

0.39130e11

(11)

y1 := 2*Em/((1+nu)*ef*ln(1/Vf))

0.9647560684e-1

(12)

Ecomp

0.5979989095e17*(1/lfact.(epsilon*(0.6270914445e-5*lfact*cosh(0.9647560685e-1*lfact)-0.6270914445e-6*lfact-0.585e-4*sinh(0.9647560685e-1*lfact))/(10.*cosh(0.9647560685e-1*lfact)-1.)))/epsilon+0.1630e10

(13)

epsilon := 0.1e-2;

0.1e-2

(14)

plot(Ecomp, lfact = 1 .. 500)

 

lfact := 90.81506;

90.81506

(15)

eq4

0.75e8-21149.64968*cosh(14842.40105*z)

(16)

plot(eq4, z = 0 .. L)

 

plot(tau, z = 0 .. L)

 

NULL


 

Download Fuly_bonded_updated.mw

Warning: Solutions may have been lost;  Pleas help, i have uploaded .mw file

solve({-mu*a[1]+2*c[2]*a[1]*a[2]^2-a[1]*k^2*c[1]+2*c[2]*a[1]*a[0]^2+5*c[4]*a[0]^4*a[1]+5*c[4]*a[1]*a[2]^4+3*c[3]*a[1]*a[2]^2+3*c[3]*a[0]^2*a[1]+a[1]*c[1]+30*c[4]*a[0]^2*a[1]*a[2]^2-20*c[4]*a[1]*a[2]*a[0]^3-4*c[2]*a[1]*a[0]*a[2]-8*c[2]*a[1]^3*A*B+24*c[1]*a[1]*A*B-6*c[3]*a[0]*a[1]*a[2]-20*c[4]*a[0]*a[1]*a[2]^3+48*c[2]*a[1]*a[0]^2*A*B+176*c[2]*a[1]*a[2]^2*A*B-224*c[2]*a[1]*A*B*a[0]*a[2] = 0, -16*c[2]*a[1]^3-6*mu*a[1]+156*c[2]*a[1]*a[2]^2-6*a[1]*k^2*c[1]-20*c[2]*a[1]*a[0]^2+30*c[4]*a[0]^4*a[1]-20*c[4]*a[1]^3*a[2]^2+30*c[4]*a[1]*a[2]^4-6*c[3]*a[1]*a[2]^2+18*c[3]*a[0]^2*a[1]+20*c[4]*a[0]^2*a[1]^3+c[4]*a[1]^5+2*a[1]^3*c[3]-10*a[1]*c[1]-60*c[4]*a[0]^2*a[1]*a[2]^2-24*c[2]*a[1]^3*A*B+8*c[1]*a[1]*A*B+16*c[2]*a[1]*a[0]^2*A*B+336*c[2]*a[1]*a[2]^2*A*B+352*c[2]*a[1]*A*B*a[0]*a[2] = 0, -32*c[2]*a[2]*a[0]^2*A*B-8*c[2]*a[1]^2*a[0]*A*B+64*c[2]*a[2]^2*a[0]*A*B+8*c[2]*a[1]^2*a[2]*A*B-5*c[4]*a[0]^4*a[2]+10*c[4]*a[0]^3*a[2]^2-10*c[4]*a[0]^2*a[2]^3+5*c[4]*a[0]*a[2]^4-a[0]*k^2*c[1]+a[2]*k^2*c[1]-3*c[3]*a[0]^2*a[2]+3*c[3]*a[0]*a[2]^2-32*c[2]*a[2]^3*A*B-16*c[1]*a[2]*A*B+c[4]*a[0]^5-c[4]*a[2]^5+c[3]*a[0]^3-c[3]*a[2]^3-a[0]*mu+a[2]*mu = 0, 4*c[2]*a[1]^3-4*mu*a[1]-64*c[2]*a[1]*a[2]^2-4*a[1]*k^2*c[1]-8*c[2]*a[1]*a[0]^2+20*c[4]*a[0]^4*a[1]+10*c[4]*a[1]^3*a[2]^2-20*c[4]*a[1]*a[2]^4+12*c[3]*a[0]^2*a[1]+10*c[4]*a[0]^2*a[1]^3+a[1]^3*c[3]-4*a[1]*c[1]+40*c[4]*a[1]*a[2]*a[0]^3-72*c[2]*a[1]*a[0]*a[2]-8*c[1]*a[1]*A*B+12*c[3]*a[0]*a[1]*a[2]+20*c[4]*a[0]*a[1]^3*a[2]-40*c[4]*a[0]*a[1]*a[2]^3-16*c[2]*a[1]*a[0]^2*A*B-16*c[2]*a[1]*a[2]^2*A*B-32*c[2]*a[1]*A*B*a[0]*a[2] = 0, 4*c[2]*a[1]^3-4*mu*a[1]-64*c[2]*a[1]*a[2]^2-4*a[1]*k^2*c[1]-8*c[2]*a[1]*a[0]^2+20*c[4]*a[0]^4*a[1]+10*c[4]*a[1]^3*a[2]^2-20*c[4]*a[1]*a[2]^4+12*c[3]*a[0]^2*a[1]+10*c[4]*a[0]^2*a[1]^3+a[1]^3*c[3]-4*a[1]*c[1]-40*c[4]*a[1]*a[2]*a[0]^3+72*c[2]*a[1]*a[0]*a[2]+64*c[2]*a[1]^3*A*B+40*c[1]*a[1]*A*B-12*c[3]*a[0]*a[1]*a[2]-20*c[4]*a[0]*a[1]^3*a[2]+40*c[4]*a[0]*a[1]*a[2]^3+80*c[2]*a[1]*a[0]^2*A*B-624*c[2]*a[1]*a[2]^2*A*B+160*c[2]*a[1]*A*B*a[0]*a[2] = 0, 3*c[3]*a[0]*a[2]^2+6*c[2]*a[1]^2*a[0]-32*c[2]*a[2]^2*a[0]-5*a[0]*k^2*c[1]+10*c[4]*a[0]^3*a[2]^2-6*c[2]*a[1]^2*a[2]-15*c[4]*a[0]^4*a[2]-15*c[4]*a[0]*a[2]^4+10*c[4]*a[0]^2*a[2]^3+3*a[2]*k^2*c[1]-9*c[3]*a[0]^2*a[2]+16*c[2]*a[2]*a[0]^2-5*a[0]*mu+3*a[2]*mu-30*c[4]*a[0]^2*a[1]^2*a[2]+30*c[4]*a[0]*a[1]^2*a[2]^2+288*c[2]*a[2]^3*A*B+16*c[1]*a[2]*A*B+32*c[2]*a[2]*a[0]^2*A*B+104*c[2]*a[1]^2*a[0]*A*B-320*c[2]*a[2]^2*a[0]*A*B-216*c[2]*a[1]^2*a[2]*A*B+5*c[4]*a[0]^5+5*c[4]*a[2]^5+5*c[3]*a[0]^3+c[3]*a[2]^3-3*c[3]*a[1]^2*a[2]-10*c[4]*a[1]^2*a[2]^3+3*c[3]*a[0]*a[1]^2+10*c[4]*a[0]^3*a[1]^2+16*c[2]*a[2]^3+8*c[1]*a[2] = 0, -6*c[3]*a[0]*a[2]^2-22*c[2]*a[1]^2*a[0]+64*c[2]*a[2]^2*a[0]-10*a[0]*k^2*c[1]-20*c[4]*a[0]^3*a[2]^2-66*c[2]*a[1]^2*a[2]+10*c[4]*a[0]^4*a[2]+10*c[4]*a[0]*a[2]^4-20*c[4]*a[0]^2*a[2]^3-2*a[2]*k^2*c[1]+6*c[3]*a[0]^2*a[2]-16*c[2]*a[2]*a[0]^2-10*a[0]*mu-2*a[2]*mu+30*c[4]*a[0]^2*a[1]^2*a[2]-30*c[4]*a[0]*a[1]^2*a[2]^2+96*c[2]*a[2]^3*A*B+48*c[1]*a[2]*A*B+5*c[4]*a[1]^4*a[2]+5*c[4]*a[0]*a[1]^4+96*c[2]*a[2]*a[0]^2*A*B-40*c[2]*a[1]^2*a[0]*A*B+192*c[2]*a[2]^2*a[0]*A*B-40*c[2]*a[1]^2*a[2]*A*B+10*c[4]*a[0]^5+10*c[4]*a[2]^5+10*c[3]*a[0]^3-2*c[3]*a[2]^3+3*c[3]*a[1]^2*a[2]-30*c[4]*a[1]^2*a[2]^3+9*c[3]*a[0]*a[1]^2+30*c[4]*a[0]^3*a[1]^2+80*c[2]*a[2]^3-8*c[1]*a[2] = 0, -6*c[3]*a[0]*a[2]^2-22*c[2]*a[1]^2*a[0]+64*c[2]*a[2]^2*a[0]-10*a[0]*k^2*c[1]-20*c[4]*a[0]^3*a[2]^2+66*c[2]*a[1]^2*a[2]-10*c[4]*a[0]^4*a[2]+10*c[4]*a[0]*a[2]^4+20*c[4]*a[0]^2*a[2]^3+2*a[2]*k^2*c[1]-6*c[3]*a[0]^2*a[2]+16*c[2]*a[2]*a[0]^2-10*a[0]*mu+2*a[2]*mu-30*c[4]*a[0]^2*a[1]^2*a[2]-30*c[4]*a[0]*a[1]^2*a[2]^2-352*c[2]*a[2]^3*A*B+80*c[1]*a[2]*A*B-5*c[4]*a[1]^4*a[2]+5*c[4]*a[0]*a[1]^4+160*c[2]*a[2]*a[0]^2*A*B+72*c[2]*a[1]^2*a[0]*A*B-192*c[2]*a[2]^2*a[0]*A*B+312*c[2]*a[1]^2*a[2]*A*B+10*c[4]*a[0]^5-10*c[4]*a[2]^5+10*c[3]*a[0]^3+2*c[3]*a[2]^3-3*c[3]*a[1]^2*a[2]+30*c[4]*a[1]^2*a[2]^3+9*c[3]*a[0]*a[1]^2+30*c[4]*a[0]^3*a[1]^2-80*c[2]*a[2]^3+8*c[1]*a[2] = 0, a[0]^5*c[4]+5*a[0]^4*a[2]*c[4]+10*a[0]^3*a[2]^2*c[4]+10*a[0]^2*a[2]^3*c[4]+5*a[0]*a[2]^4*c[4]+a[2]^5*c[4]-k^2*a[0]*c[1]-k^2*a[2]*c[1]+a[0]^3*c[3]+3*a[0]^2*a[2]*c[3]+3*a[0]*a[2]^2*c[3]+a[2]^3*c[3]-mu*a[0]-mu*a[2] = 0, 5*a[0]^4*a[1]*c[4]+20*a[0]^3*a[1]*a[2]*c[4]+30*a[0]^2*a[1]*a[2]^2*c[4]+20*a[0]*a[1]*a[2]^3*c[4]+5*a[1]*a[2]^4*c[4]-k^2*a[1]*c[1]+2*a[0]^2*a[1]*c[2]+3*a[0]^2*a[1]*c[3]+4*a[0]*a[1]*a[2]*c[2]+6*a[0]*a[1]*a[2]*c[3]+2*a[1]*a[2]^2*c[2]+3*a[1]*a[2]^2*c[3]-mu*a[1]+a[1]*c[1] = 0, 5*a[0]^5*c[4]+15*a[0]^4*a[2]*c[4]+10*a[0]^3*a[1]^2*c[4]+10*a[0]^3*a[2]^2*c[4]+30*a[0]^2*a[1]^2*a[2]*c[4]-10*a[0]^2*a[2]^3*c[4]+30*a[0]*a[1]^2*a[2]^2*c[4]-15*a[0]*a[2]^4*c[4]+10*a[1]^2*a[2]^3*c[4]-5*a[2]^5*c[4]-5*k^2*a[0]*c[1]-3*k^2*a[2]*c[1]+5*a[0]^3*c[3]-16*a[0]^2*a[2]*c[2]+9*a[0]^2*a[2]*c[3]+6*a[0]*a[1]^2*c[2]+3*a[0]*a[1]^2*c[3]-32*a[0]*a[2]^2*c[2]+3*a[0]*a[2]^2*c[3]+6*a[1]^2*a[2]*c[2]+3*a[1]^2*a[2]*c[3]-16*a[2]^3*c[2]-a[2]^3*c[3]-5*mu*a[0]-3*mu*a[2]-8*a[2]*c[1] = 0}, {B, mu, a[0], a[1], a[2]})

Hello everyone !,


I would like to generate two random complex vectors (x1 and x2) several time and I want to check how these two vectors (j iteration) close to their previous values (j-1 iteration): abs (x1(j)-x1(j-1)) < 10^-4 and abs (x2(j)-x2(j-1)) < 10^-4. Therefore, I want that my program stop when this criteria is satisfied for x1 and x2 simultaneously.

I know how to check that for one element of the vector but not all the elements of the vector.
code:
Comp.vect.mw

How to compute and simulate State transition diagram in markov matrix, long run behavior, statistical test analysis?

MArkov.mw

Hi please  help me in this problem in maple 18 

How do I solve the system K=B and find values 

x_{0},y_{0},z{0}

I posed the problem in the form pdf and mw

thank you 

problem.mw

problem.pdf

 

 

Please how draw this curve 

ExpODE4 := Y(1)*(sum(lambda^k*t^(k*d)/factorial(k*d), k = 0 .. infinity))

Statistics[NonlinearFit](ExpODE4, X, Y, t)

Dear maple users,

A fine day wishes to all.

Here, we have computed the fN(x,t) value by using pdsolve.

We have to integrate the computed value and need to find the values with the sequence of x.

A1:=int(fN(x,1.12),x) 

A2:=seq(A1,x=0..1,0.1)

How to integrate the computed values 

And, How to find the values for the sequence of x.

JVB1.mw
 

restart:

with(PDEtools):

with(plots):

fcns := {f(x,t)};

{f(x, t)}

(1)

b1:=1.41:d:=0.5/1:xi:=0.1:ea:=0.5:ra:=2:

L:=z->piecewise(d<=z and z<=d+1, 1-2*xi*(cos((2*3.14)*((z-d)*(1/2))-1/4)-(7/100)*cos((32*3.14)*(z-d-1/2))),1):

PDE1 :=ra*(diff(f(x,t),t))=+b1*(1+ea*cos(t))+(1/(L(z)^2))*((diff(f(x,t),x,x))+(1/x)*diff(f(x,t),x));

PDE1 := 2*(diff(f(x, t), t)) = 1.41+.705*cos(t)+(diff(f(x, t), x, x)+(diff(f(x, t), x))/x)/piecewise(.5 <= z and z <= 1.5, 1-.2*cos(3.140000000*z-1.820000000)+0.1400000000e-1*cos(100.48*z-100.4800000), 1)^2

(2)

IBC := {D[1](f)(0,t)=0,f(1,t)=0,f(x,0)=0};

{f(1, t) = 0, f(x, 0) = 0, (D[1](f))(0, t) = 0}

(3)

z:=0.5;

.5

(4)

 

sol:=pdsolve(eval([PDE1]),IBC ,numeric, time = t,spacestep = 0.025, timestep=0.0001):
sol:-value(f(x,t), output=listprocedure);

[x = proc () option `Copyright (c) 2000 by Waterloo Maple Inc. All rights reserved.`; evalf(args[1]) end proc, t = proc () option `Copyright (c) 2000 by Waterloo Maple Inc. All rights reserved.`; evalf(args[2]) end proc, f(x, t) = proc () local tv, xv, solnproc, stype, ndsol, vals; option `Copyright (c) 2001 by Waterloo Maple Inc. All rights reserved.`; Digits := trunc(evalhf(Digits)); solnproc := proc (tv, xv) local INFO, errest, nd, dvars, dary, daryt, daryx, vals, msg, i, j; option `Copyright (c) 2001 by Waterloo Maple Inc. All rights reserved.`; table( [( "soln_procedures" ) = array( 1 .. 1, [( 1 ) = (4336270194)  ] ) ] ) INFO := table( [( "vectorhf" ) = true, ( "solvec2" ) = Vector(41, {(1) = .0, (2) = .0, (3) = .0, (4) = .0, (5) = .0, (6) = .0, (7) = .0, (8) = .0, (9) = .0, (10) = .0, (11) = .0, (12) = .0, (13) = .0, (14) = .0, (15) = .0, (16) = .0, (17) = .0, (18) = .0, (19) = .0, (20) = .0, (21) = .0, (22) = .0, (23) = .0, (24) = .0, (25) = .0, (26) = .0, (27) = .0, (28) = .0, (29) = .0, (30) = .0, (31) = .0, (32) = .0, (33) = .0, (34) = .0, (35) = .0, (36) = .0, (37) = .0, (38) = .0, (39) = .0, (40) = .0, (41) = .0}, datatype = float[8]), ( "depeqn" ) = [1], ( "solspace" ) = Vector(41, {(1) = .0, (2) = .0, (3) = .0, (4) = .0, (5) = .0, (6) = .0, (7) = .0, (8) = .0, (9) = .0, (10) = .0, (11) = .0, (12) = .0, (13) = .0, (14) = .0, (15) = .0, (16) = .0, (17) = .0, (18) = .0, (19) = .0, (20) = .0, (21) = .0, (22) = .0, (23) = .0, (24) = .0, (25) = .0, (26) = .0, (27) = .0, (28) = .0, (29) = .0, (30) = .0, (31) = .0, (32) = .0, (33) = .0, (34) = .0, (35) = .0, (36) = .0, (37) = .0, (38) = .0, (39) = .0, (40) = .0, (41) = 1.0}, datatype = float[8]), ( "spaceadaptive" ) = false, ( "solution" ) = Array(1..3, 1..41, 1..1, {(1, 1, 1) = .0, (1, 2, 1) = .0, (1, 3, 1) = .0, (1, 4, 1) = .0, (1, 5, 1) = .0, (1, 6, 1) = .0, (1, 7, 1) = .0, (1, 8, 1) = .0, (1, 9, 1) = .0, (1, 10, 1) = .0, (1, 11, 1) = .0, (1, 12, 1) = .0, (1, 13, 1) = .0, (1, 14, 1) = .0, (1, 15, 1) = .0, (1, 16, 1) = .0, (1, 17, 1) = .0, (1, 18, 1) = .0, (1, 19, 1) = .0, (1, 20, 1) = .0, (1, 21, 1) = .0, (1, 22, 1) = .0, (1, 23, 1) = .0, (1, 24, 1) = .0, (1, 25, 1) = .0, (1, 26, 1) = .0, (1, 27, 1) = .0, (1, 28, 1) = .0, (1, 29, 1) = .0, (1, 30, 1) = .0, (1, 31, 1) = .0, (1, 32, 1) = .0, (1, 33, 1) = .0, (1, 34, 1) = .0, (1, 35, 1) = .0, (1, 36, 1) = .0, (1, 37, 1) = .0, (1, 38, 1) = .0, (1, 39, 1) = .0, (1, 40, 1) = .0, (1, 41, 1) = .0, (2, 1, 1) = .0, (2, 2, 1) = .0, (2, 3, 1) = .0, (2, 4, 1) = .0, (2, 5, 1) = .0, (2, 6, 1) = .0, (2, 7, 1) = .0, (2, 8, 1) = .0, (2, 9, 1) = .0, (2, 10, 1) = .0, (2, 11, 1) = .0, (2, 12, 1) = .0, (2, 13, 1) = .0, (2, 14, 1) = .0, (2, 15, 1) = .0, (2, 16, 1) = .0, (2, 17, 1) = .0, (2, 18, 1) = .0, (2, 19, 1) = .0, (2, 20, 1) = .0, (2, 21, 1) = .0, (2, 22, 1) = .0, (2, 23, 1) = .0, (2, 24, 1) = .0, (2, 25, 1) = .0, (2, 26, 1) = .0, (2, 27, 1) = .0, (2, 28, 1) = .0, (2, 29, 1) = .0, (2, 30, 1) = .0, (2, 31, 1) = .0, (2, 32, 1) = .0, (2, 33, 1) = .0, (2, 34, 1) = .0, (2, 35, 1) = .0, (2, 36, 1) = .0, (2, 37, 1) = .0, (2, 38, 1) = .0, (2, 39, 1) = .0, (2, 40, 1) = .0, (2, 41, 1) = .0, (3, 1, 1) = .0, (3, 2, 1) = .0, (3, 3, 1) = .0, (3, 4, 1) = .0, (3, 5, 1) = .0, (3, 6, 1) = .0, (3, 7, 1) = .0, (3, 8, 1) = .0, (3, 9, 1) = .0, (3, 10, 1) = .0, (3, 11, 1) = .0, (3, 12, 1) = .0, (3, 13, 1) = .0, (3, 14, 1) = .0, (3, 15, 1) = .0, (3, 16, 1) = .0, (3, 17, 1) = .0, (3, 18, 1) = .0, (3, 19, 1) = .0, (3, 20, 1) = .0, (3, 21, 1) = .0, (3, 22, 1) = .0, (3, 23, 1) = .0, (3, 24, 1) = .0, (3, 25, 1) = .0, (3, 26, 1) = .0, (3, 27, 1) = .0, (3, 28, 1) = .0, (3, 29, 1) = .0, (3, 30, 1) = .0, (3, 31, 1) = .0, (3, 32, 1) = .0, (3, 33, 1) = .0, (3, 34, 1) = .0, (3, 35, 1) = .0, (3, 36, 1) = .0, (3, 37, 1) = .0, (3, 38, 1) = .0, (3, 39, 1) = .0, (3, 40, 1) = .0, (3, 41, 1) = .0}, datatype = float[8], order = C_order), ( "solvec3" ) = Vector(41, {(1) = .0, (2) = .0, (3) = .0, (4) = .0, (5) = .0, (6) = .0, (7) = .0, (8) = .0, (9) = .0, (10) = .0, (11) = .0, (12) = .0, (13) = .0, (14) = .0, (15) = .0, (16) = .0, (17) = .0, (18) = .0, (19) = .0, (20) = .0, (21) = .0, (22) = .0, (23) = .0, (24) = .0, (25) = .0, (26) = .0, (27) = .0, (28) = .0, (29) = .0, (30) = .0, (31) = .0, (32) = .0, (33) = .0, (34) = .0, (35) = .0, (36) = .0, (37) = .0, (38) = .0, (39) = .0, (40) = .0, (41) = .0}, datatype = float[8]), ( "initialized" ) = false, ( "matrixhf" ) = true, ( "stages" ) = 1, ( "spacevar" ) = x, ( "depshift" ) = [1], ( "spacestep" ) = 0.250000000000000e-1, ( "timeidx" ) = 2, ( "t0" ) = 0, ( "multidep" ) = [false, false], ( "rightwidth" ) = 0, ( "solmat_v" ) = Vector(287, {(1) = .0, (2) = .0, (3) = .0, (4) = .0, (5) = .0, (6) = .0, (7) = .0, (8) = .0, (9) = .0, (10) = .0, (11) = .0, (12) = .0, (13) = .0, (14) = .0, (15) = .0, (16) = .0, (17) = .0, (18) = .0, (19) = .0, (20) = .0, (21) = .0, (22) = .0, (23) = .0, (24) = .0, (25) = .0, (26) = .0, (27) = .0, (28) = .0, (29) = .0, (30) = .0, (31) = .0, (32) = .0, (33) = .0, (34) = .0, (35) = .0, (36) = .0, (37) = .0, (38) = .0, (39) = .0, (40) = .0, (41) = .0, (42) = .0, (43) = .0, (44) = .0, (45) = .0, (46) = .0, (47) = .0, (48) = .0, (49) = .0, (50) = .0, (51) = .0, (52) = .0, (53) = .0, (54) = .0, (55) = .0, (56) = .0, (57) = .0, (58) = .0, (59) = .0, (60) = .0, (61) = .0, (62) = .0, (63) = .0, (64) = .0, (65) = .0, (66) = .0, (67) = .0, (68) = .0, (69) = .0, (70) = .0, (71) = .0, (72) = .0, (73) = .0, (74) = .0, (75) = .0, (76) = .0, (77) = .0, (78) = .0, (79) = .0, (80) = .0, (81) = .0, (82) = .0, (83) = .0, (84) = .0, (85) = .0, (86) = .0, (87) = .0, (88) = .0, (89) = .0, (90) = .0, (91) = .0, (92) = .0, (93) = .0, (94) = .0, (95) = .0, (96) = .0, (97) = .0, (98) = .0, (99) = .0, (100) = .0, (101) = .0, (102) = .0, (103) = .0, (104) = .0, (105) = .0, (106) = .0, (107) = .0, (108) = .0, (109) = .0, (110) = .0, (111) = .0, (112) = .0, (113) = .0, (114) = .0, (115) = .0, (116) = .0, (117) = .0, (118) = .0, (119) = .0, (120) = .0, (121) = .0, (122) = .0, (123) = .0, (124) = .0, (125) = .0, (126) = .0, (127) = .0, (128) = .0, (129) = .0, (130) = .0, (131) = .0, (132) = .0, (133) = .0, (134) = .0, (135) = .0, (136) = .0, (137) = .0, (138) = .0, (139) = .0, (140) = .0, (141) = .0, (142) = .0, (143) = .0, (144) = .0, (145) = .0, (146) = .0, (147) = .0, (148) = .0, (149) = .0, (150) = .0, (151) = .0, (152) = .0, (153) = .0, (154) = .0, (155) = .0, (156) = .0, (157) = .0, (158) = .0, (159) = .0, (160) = .0, (161) = .0, (162) = .0, (163) = .0, (164) = .0, (165) = .0, (166) = .0, (167) = .0, (168) = .0, (169) = .0, (170) = .0, (171) = .0, (172) = .0, (173) = .0, (174) = .0, (175) = .0, (176) = .0, (177) = .0, (178) = .0, (179) = .0, (180) = .0, (181) = .0, (182) = .0, (183) = .0, (184) = .0, (185) = .0, (186) = .0, (187) = .0, (188) = .0, (189) = .0, (190) = .0, (191) = .0, (192) = .0, (193) = .0, (194) = .0, (195) = .0, (196) = .0, (197) = .0, (198) = .0, (199) = .0, (200) = .0, (201) = .0, (202) = .0, (203) = .0, (204) = .0, (205) = .0, (206) = .0, (207) = .0, (208) = .0, (209) = .0, (210) = .0, (211) = .0, (212) = .0, (213) = .0, (214) = .0, (215) = .0, (216) = .0, (217) = .0, (218) = .0, (219) = .0, (220) = .0, (221) = .0, (222) = .0, (223) = .0, (224) = .0, (225) = .0, (226) = .0, (227) = .0, (228) = .0, (229) = .0, (230) = .0, (231) = .0, (232) = .0, (233) = .0, (234) = .0, (235) = .0, (236) = .0, (237) = .0, (238) = .0, (239) = .0, (240) = .0, (241) = .0, (242) = .0, (243) = .0, (244) = .0, (245) = .0, (246) = .0, (247) = .0, (248) = .0, (249) = .0, (250) = .0, (251) = .0, (252) = .0, (253) = .0, (254) = .0, (255) = .0, (256) = .0, (257) = .0, (258) = .0, (259) = .0, (260) = .0, (261) = .0, (262) = .0, (263) = .0, (264) = .0, (265) = .0, (266) = .0, (267) = .0, (268) = .0, (269) = .0, (270) = .0, (271) = .0, (272) = .0, (273) = .0, (274) = .0, (275) = .0, (276) = .0, (277) = .0, (278) = .0, (279) = .0, (280) = .0, (281) = .0, (282) = .0, (283) = .0, (284) = .0, (285) = .0, (286) = .0, (287) = .0}, datatype = float[8], order = C_order, attributes = [source_rtable = (Matrix(41, 7, {(1, 1) = .0, (1, 2) = .0, (1, 3) = .0, (1, 4) = .0, (1, 5) = .0, (1, 6) = .0, (1, 7) = .0, (2, 1) = .0, (2, 2) = .0, (2, 3) = .0, (2, 4) = .0, (2, 5) = .0, (2, 6) = .0, (2, 7) = .0, (3, 1) = .0, (3, 2) = .0, (3, 3) = .0, (3, 4) = .0, (3, 5) = .0, (3, 6) = .0, (3, 7) = .0, (4, 1) = .0, (4, 2) = .0, (4, 3) = .0, (4, 4) = .0, (4, 5) = .0, (4, 6) = .0, (4, 7) = .0, (5, 1) = .0, (5, 2) = .0, (5, 3) = .0, (5, 4) = .0, (5, 5) = .0, (5, 6) = .0, (5, 7) = .0, (6, 1) = .0, (6, 2) = .0, (6, 3) = .0, (6, 4) = .0, (6, 5) = .0, (6, 6) = .0, (6, 7) = .0, (7, 1) = .0, (7, 2) = .0, (7, 3) = .0, (7, 4) = .0, (7, 5) = .0, (7, 6) = .0, (7, 7) = .0, (8, 1) = .0, (8, 2) = .0, (8, 3) = .0, (8, 4) = .0, (8, 5) = .0, (8, 6) = .0, (8, 7) = .0, (9, 1) = .0, (9, 2) = .0, (9, 3) = .0, (9, 4) = .0, (9, 5) = .0, (9, 6) = .0, (9, 7) = .0, (10, 1) = .0, (10, 2) = .0, (10, 3) = .0, (10, 4) = .0, (10, 5) = .0, (10, 6) = .0, (10, 7) = .0, (11, 1) = .0, (11, 2) = .0, (11, 3) = .0, (11, 4) = .0, (11, 5) = .0, (11, 6) = .0, (11, 7) = .0, (12, 1) = .0, (12, 2) = .0, (12, 3) = .0, (12, 4) = .0, (12, 5) = .0, (12, 6) = .0, (12, 7) = .0, (13, 1) = .0, (13, 2) = .0, (13, 3) = .0, (13, 4) = .0, (13, 5) = .0, (13, 6) = .0, (13, 7) = .0, (14, 1) = .0, (14, 2) = .0, (14, 3) = .0, (14, 4) = .0, (14, 5) = .0, (14, 6) = .0, (14, 7) = .0, (15, 1) = .0, (15, 2) = .0, (15, 3) = .0, (15, 4) = .0, (15, 5) = .0, (15, 6) = .0, (15, 7) = .0, (16, 1) = .0, (16, 2) = .0, (16, 3) = .0, (16, 4) = .0, (16, 5) = .0, (16, 6) = .0, (16, 7) = .0, (17, 1) = .0, (17, 2) = .0, (17, 3) = .0, (17, 4) = .0, (17, 5) = .0, (17, 6) = .0, (17, 7) = .0, (18, 1) = .0, (18, 2) = .0, (18, 3) = .0, (18, 4) = .0, (18, 5) = .0, (18, 6) = .0, (18, 7) = .0, (19, 1) = .0, (19, 2) = .0, (19, 3) = .0, (19, 4) = .0, (19, 5) = .0, (19, 6) = .0, (19, 7) = .0, (20, 1) = .0, (20, 2) = .0, (20, 3) = .0, (20, 4) = .0, (20, 5) = .0, (20, 6) = .0, (20, 7) = .0, (21, 1) = .0, (21, 2) = .0, (21, 3) = .0, (21, 4) = .0, (21, 5) = .0, (21, 6) = .0, (21, 7) = .0, (22, 1) = .0, (22, 2) = .0, (22, 3) = .0, (22, 4) = .0, (22, 5) = .0, (22, 6) = .0, (22, 7) = .0, (23, 1) = .0, (23, 2) = .0, (23, 3) = .0, (23, 4) = .0, (23, 5) = .0, (23, 6) = .0, (23, 7) = .0, (24, 1) = .0, (24, 2) = .0, (24, 3) = .0, (24, 4) = .0, (24, 5) = .0, (24, 6) = .0, (24, 7) = .0, (25, 1) = .0, (25, 2) = .0, (25, 3) = .0, (25, 4) = .0, (25, 5) = .0, (25, 6) = .0, (25, 7) = .0, (26, 1) = .0, (26, 2) = .0, (26, 3) = .0, (26, 4) = .0, (26, 5) = .0, (26, 6) = .0, (26, 7) = .0, (27, 1) = .0, (27, 2) = .0, (27, 3) = .0, (27, 4) = .0, (27, 5) = .0, (27, 6) = .0, (27, 7) = .0, (28, 1) = .0, (28, 2) = .0, (28, 3) = .0, (28, 4) = .0, (28, 5) = .0, (28, 6) = .0, (28, 7) = .0, (29, 1) = .0, (29, 2) = .0, (29, 3) = .0, (29, 4) = .0, (29, 5) = .0, (29, 6) = .0, (29, 7) = .0, (30, 1) = .0, (30, 2) = .0, (30, 3) = .0, (30, 4) = .0, (30, 5) = .0, (30, 6) = .0, (30, 7) = .0, (31, 1) = .0, (31, 2) = .0, (31, 3) = .0, (31, 4) = .0, (31, 5) = .0, (31, 6) = .0, (31, 7) = .0, (32, 1) = .0, (32, 2) = .0, (32, 3) = .0, (32, 4) = .0, (32, 5) = .0, (32, 6) = .0, (32, 7) = .0, (33, 1) = .0, (33, 2) = .0, (33, 3) = .0, (33, 4) = .0, (33, 5) = .0, (33, 6) = .0, (33, 7) = .0, (34, 1) = .0, (34, 2) = .0, (34, 3) = .0, (34, 4) = .0, (34, 5) = .0, (34, 6) = .0, (34, 7) = .0, (35, 1) = .0, (35, 2) = .0, (35, 3) = .0, (35, 4) = .0, (35, 5) = .0, (35, 6) = .0, (35, 7) = .0, (36, 1) = .0, (36, 2) = .0, (36, 3) = .0, (36, 4) = .0, (36, 5) = .0, (36, 6) = .0, (36, 7) = .0, (37, 1) = .0, (37, 2) = .0, (37, 3) = .0, (37, 4) = .0, (37, 5) = .0, (37, 6) = .0, (37, 7) = .0, (38, 1) = .0, (38, 2) = .0, (38, 3) = .0, (38, 4) = .0, (38, 5) = .0, (38, 6) = .0, (38, 7) = .0, (39, 1) = .0, (39, 2) = .0, (39, 3) = .0, (39, 4) = .0, (39, 5) = .0, (39, 6) = .0, (39, 7) = .0, (40, 1) = .0, (40, 2) = .0, (40, 3) = .0, (40, 4) = .0, (40, 5) = .0, (40, 6) = .0, (40, 7) = .0, (41, 1) = .0, (41, 2) = .0, (41, 3) = .0, (41, 4) = .0, (41, 5) = .0, (41, 6) = .0, (41, 7) = .0}, datatype = float[8], order = C_order))]), ( "theta" ) = 1/2, ( "spacepts" ) = 41, ( "solmatrix" ) = Matrix(41, 7, {(1, 1) = .0, (1, 2) = .0, (1, 3) = .0, (1, 4) = .0, (1, 5) = .0, (1, 6) = .0, (1, 7) = .0, (2, 1) = .0, (2, 2) = .0, (2, 3) = .0, (2, 4) = .0, (2, 5) = .0, (2, 6) = .0, (2, 7) = .0, (3, 1) = .0, (3, 2) = .0, (3, 3) = .0, (3, 4) = .0, (3, 5) = .0, (3, 6) = .0, (3, 7) = .0, (4, 1) = .0, (4, 2) = .0, (4, 3) = .0, (4, 4) = .0, (4, 5) = .0, (4, 6) = .0, (4, 7) = .0, (5, 1) = .0, (5, 2) = .0, (5, 3) = .0, (5, 4) = .0, (5, 5) = .0, (5, 6) = .0, (5, 7) = .0, (6, 1) = .0, (6, 2) = .0, (6, 3) = .0, (6, 4) = .0, (6, 5) = .0, (6, 6) = .0, (6, 7) = .0, (7, 1) = .0, (7, 2) = .0, (7, 3) = .0, (7, 4) = .0, (7, 5) = .0, (7, 6) = .0, (7, 7) = .0, (8, 1) = .0, (8, 2) = .0, (8, 3) = .0, (8, 4) = .0, (8, 5) = .0, (8, 6) = .0, (8, 7) = .0, (9, 1) = .0, (9, 2) = .0, (9, 3) = .0, (9, 4) = .0, (9, 5) = .0, (9, 6) = .0, (9, 7) = .0, (10, 1) = .0, (10, 2) = .0, (10, 3) = .0, (10, 4) = .0, (10, 5) = .0, (10, 6) = .0, (10, 7) = .0, (11, 1) = .0, (11, 2) = .0, (11, 3) = .0, (11, 4) = .0, (11, 5) = .0, (11, 6) = .0, (11, 7) = .0, (12, 1) = .0, (12, 2) = .0, (12, 3) = .0, (12, 4) = .0, (12, 5) = .0, (12, 6) = .0, (12, 7) = .0, (13, 1) = .0, (13, 2) = .0, (13, 3) = .0, (13, 4) = .0, (13, 5) = .0, (13, 6) = .0, (13, 7) = .0, (14, 1) = .0, (14, 2) = .0, (14, 3) = .0, (14, 4) = .0, (14, 5) = .0, (14, 6) = .0, (14, 7) = .0, (15, 1) = .0, (15, 2) = .0, (15, 3) = .0, (15, 4) = .0, (15, 5) = .0, (15, 6) = .0, (15, 7) = .0, (16, 1) = .0, (16, 2) = .0, (16, 3) = .0, (16, 4) = .0, (16, 5) = .0, (16, 6) = .0, (16, 7) = .0, (17, 1) = .0, (17, 2) = .0, (17, 3) = .0, (17, 4) = .0, (17, 5) = .0, (17, 6) = .0, (17, 7) = .0, (18, 1) = .0, (18, 2) = .0, (18, 3) = .0, (18, 4) = .0, (18, 5) = .0, (18, 6) = .0, (18, 7) = .0, (19, 1) = .0, (19, 2) = .0, (19, 3) = .0, (19, 4) = .0, (19, 5) = .0, (19, 6) = .0, (19, 7) = .0, (20, 1) = .0, (20, 2) = .0, (20, 3) = .0, (20, 4) = .0, (20, 5) = .0, (20, 6) = .0, (20, 7) = .0, (21, 1) = .0, (21, 2) = .0, (21, 3) = .0, (21, 4) = .0, (21, 5) = .0, (21, 6) = .0, (21, 7) = .0, (22, 1) = .0, (22, 2) = .0, (22, 3) = .0, (22, 4) = .0, (22, 5) = .0, (22, 6) = .0, (22, 7) = .0, (23, 1) = .0, (23, 2) = .0, (23, 3) = .0, (23, 4) = .0, (23, 5) = .0, (23, 6) = .0, (23, 7) = .0, (24, 1) = .0, (24, 2) = .0, (24, 3) = .0, (24, 4) = .0, (24, 5) = .0, (24, 6) = .0, (24, 7) = .0, (25, 1) = .0, (25, 2) = .0, (25, 3) = .0, (25, 4) = .0, (25, 5) = .0, (25, 6) = .0, (25, 7) = .0, (26, 1) = .0, (26, 2) = .0, (26, 3) = .0, (26, 4) = .0, (26, 5) = .0, (26, 6) = .0, (26, 7) = .0, (27, 1) = .0, (27, 2) = .0, (27, 3) = .0, (27, 4) = .0, (27, 5) = .0, (27, 6) = .0, (27, 7) = .0, (28, 1) = .0, (28, 2) = .0, (28, 3) = .0, (28, 4) = .0, (28, 5) = .0, (28, 6) = .0, (28, 7) = .0, (29, 1) = .0, (29, 2) = .0, (29, 3) = .0, (29, 4) = .0, (29, 5) = .0, (29, 6) = .0, (29, 7) = .0, (30, 1) = .0, (30, 2) = .0, (30, 3) = .0, (30, 4) = .0, (30, 5) = .0, (30, 6) = .0, (30, 7) = .0, (31, 1) = .0, (31, 2) = .0, (31, 3) = .0, (31, 4) = .0, (31, 5) = .0, (31, 6) = .0, (31, 7) = .0, (32, 1) = .0, (32, 2) = .0, (32, 3) = .0, (32, 4) = .0, (32, 5) = .0, (32, 6) = .0, (32, 7) = .0, (33, 1) = .0, (33, 2) = .0, (33, 3) = .0, (33, 4) = .0, (33, 5) = .0, (33, 6) = .0, (33, 7) = .0, (34, 1) = .0, (34, 2) = .0, (34, 3) = .0, (34, 4) = .0, (34, 5) = .0, (34, 6) = .0, (34, 7) = .0, (35, 1) = .0, (35, 2) = .0, (35, 3) = .0, (35, 4) = .0, (35, 5) = .0, (35, 6) = .0, (35, 7) = .0, (36, 1) = .0, (36, 2) = .0, (36, 3) = .0, (36, 4) = .0, (36, 5) = .0, (36, 6) = .0, (36, 7) = .0, (37, 1) = .0, (37, 2) = .0, (37, 3) = .0, (37, 4) = .0, (37, 5) = .0, (37, 6) = .0, (37, 7) = .0, (38, 1) = .0, (38, 2) = .0, (38, 3) = .0, (38, 4) = .0, (38, 5) = .0, (38, 6) = .0, (38, 7) = .0, (39, 1) = .0, (39, 2) = .0, (39, 3) = .0, (39, 4) = .0, (39, 5) = .0, (39, 6) = .0, (39, 7) = .0, (40, 1) = .0, (40, 2) = .0, (40, 3) = .0, (40, 4) = .0, (40, 5) = .0, (40, 6) = .0, (40, 7) = .0, (41, 1) = .0, (41, 2) = .0, (41, 3) = .0, (41, 4) = .0, (41, 5) = .0, (41, 6) = .0, (41, 7) = .0}, datatype = float[8], order = C_order), ( "dependson" ) = [{1}], ( "eqndep" ) = [1], ( "timestep" ) = 0.1e-3, ( "leftwidth" ) = 1, ( "IBC" ) = b, ( "BCS", 1 ) = {[[1, 0, 1], b[1, 0, 1]], [[1, 1, 0], b[1, 1, 0]]}, ( "method" ) = theta, ( "erroraccum" ) = true, ( "PDEs" ) = [2*(diff(f(x, t), t))-141/100-(141/200)*cos(t)-(743218889/500000000)*(diff(diff(f(x, t), x), x))-(743218889/500000000)*(diff(f(x, t), x))/x], ( "periodic" ) = false, ( "norigdepvars" ) = 1, ( "linear" ) = true, ( "solmat_i2" ) = 0, ( "solvec5" ) = 0, ( "extrabcs" ) = [0], ( "solmat_is" ) = 0, ( "errorest" ) = false, ( "indepvars" ) = [x, t], ( "solvec1" ) = Vector(41, {(1) = .0, (2) = .0, (3) = .0, (4) = .0, (5) = .0, (6) = .0, (7) = .0, (8) = .0, (9) = .0, (10) = .0, (11) = .0, (12) = .0, (13) = .0, (14) = .0, (15) = .0, (16) = .0, (17) = .0, (18) = .0, (19) = .0, (20) = .0, (21) = .0, (22) = .0, (23) = .0, (24) = .0, (25) = .0, (26) = .0, (27) = .0, (28) = .0, (29) = .0, (30) = .0, (31) = .0, (32) = .0, (33) = .0, (34) = .0, (35) = .0, (36) = .0, (37) = .0, (38) = .0, (39) = .0, (40) = .0, (41) = .0}, datatype = float[8]), ( "ICS" ) = [0], ( "banded" ) = true, ( "bandwidth" ) = [1, 3], ( "fdepvars" ) = [f(x, t)], ( "solvec4" ) = 0, ( "depvars" ) = [f], ( "matrixproc" ) = proc (v, vp, vpp, t, x, k, h, n, mat) local _s1, _s2, _s3, xi; _s1 := -743218889*h; _s2 := 2000000000*h^2; _s3 := (1/500000000)*(1000000000*h^2+743218889*k)/(k*h^2); mat[3] := -(3/2)/h; mat[4] := 2/h; mat[5] := -(1/2)/h; mat[7*n-4] := 1; for xi from 2 to n-1 do mat[7*xi-4] := _s3; mat[7*xi-5] := -(_s1+1486437778*x[xi])/(_s2*x[xi]); mat[7*xi-3] := (_s1-1486437778*x[xi])/(_s2*x[xi]) end do end proc, ( "inputargs" ) = [[2*(diff(f(x, t), t)) = 1.41+.705*cos(t)+1.486437778*(diff(diff(f(x, t), x), x))+1.486437778*(diff(f(x, t), x))/x], {f(1, t) = 0, f(x, 0) = 0, (D[1](f))(0, t) = 0}, time = t, spacestep = 0.25e-1, timestep = 0.1e-3], ( "allocspace" ) = 41, ( "mixed" ) = false, ( "totalwidth" ) = 7, ( "depords" ) = [[2, 1]], ( "solmat_ne" ) = 0, ( "minspcpoints" ) = 4, ( "autonomous" ) = true, ( "explicit" ) = false, ( "depdords" ) = [[[2, 1]]], ( "pts", x ) = [0, 1], ( "eqnords" ) = [[2, 1]], ( "solmat_i1" ) = 0, ( "spaceidx" ) = 1, ( "intspace" ) = Matrix(41, 1, {(1, 1) = .0, (2, 1) = .0, (3, 1) = .0, (4, 1) = .0, (5, 1) = .0, (6, 1) = .0, (7, 1) = .0, (8, 1) = .0, (9, 1) = .0, (10, 1) = .0, (11, 1) = .0, (12, 1) = .0, (13, 1) = .0, (14, 1) = .0, (15, 1) = .0, (16, 1) = .0, (17, 1) = .0, (18, 1) = .0, (19, 1) = .0, (20, 1) = .0, (21, 1) = .0, (22, 1) = .0, (23, 1) = .0, (24, 1) = .0, (25, 1) = .0, (26, 1) = .0, (27, 1) = .0, (28, 1) = .0, (29, 1) = .0, (30, 1) = .0, (31, 1) = .0, (32, 1) = .0, (33, 1) = .0, (34, 1) = .0, (35, 1) = .0, (36, 1) = .0, (37, 1) = .0, (38, 1) = .0, (39, 1) = .0, (40, 1) = .0, (41, 1) = .0}, datatype = float[8], order = C_order), ( "startup_only" ) = false, ( "timeadaptive" ) = false, ( "vectorproc" ) = proc (v, vp, vpp, t, x, k, h, n, vec) local _s1, _s2, _s3, _s4, _s5, _s6, _s7, _s8, xi; _s1 := cos(t+(1/2)*k); _s4 := 1486437778*k; _s5 := 4000000000*h^2; _s6 := 743218889*h*k; _s7 := 2000000000*k*h^2; _s8 := 1410000000*k*h^2*(_s1+2); vec[1] := 0; vec[n] := 0; for xi from 2 to n-1 do _s2 := -vp[xi-1]+vp[xi+1]; _s3 := vp[xi-1]-2*vp[xi]+vp[xi+1]; vec[xi] := (_s3*_s4*x[xi]+_s5*vp[xi]*x[xi]+_s2*_s6+_s8*x[xi])/(_s7*x[xi]) end do end proc, ( "maxords" ) = [2, 1], ( "adjusted" ) = false, ( "soltimes" ) = Vector(3, {(1) = .0, (2) = .0, (3) = .0}, datatype = float[8]), ( "timevar" ) = t ] ); if xv = "left" then return INFO["solspace"][1] elif xv = "right" then return INFO["solspace"][INFO["spacepts"]] elif tv = "start" then return INFO["t0"] elif not (type(tv, 'numeric') and type(xv, 'numeric')) then error "non-numeric input" end if; if xv < INFO["solspace"][1] or INFO["solspace"][INFO["spacepts"]] < xv then error "requested %1 value must be in the range %2..%3", INFO["spacevar"], INFO["solspace"][1], INFO["solspace"][INFO["spacepts"]] end if; dary := Vector(3, {(1) = .0, (2) = .0, (3) = .0}, datatype = float[8]); daryt := 0; daryx := 0; dvars := [proc (t, x, u) u[1] end proc]; errest := false; nd := nops(INFO["depvars"]); if dary[nd+1] <> tv then try `pdsolve/numeric/evolve_solution`(INFO, tv) catch: msg := StringTools:-FormatMessage(lastexception[2 .. -1]); if tv < INFO["t0"] then error cat("unable to compute solution for %1<%2:
", msg), INFO["timevar"], INFO["failtime"] else error cat("unable to compute solution for %1>%2:
", msg), INFO["timevar"], INFO["failtime"] end if end try end if; if dary[nd+1] <> tv or dary[nd+2] <> xv then `pdsolve/interp2dto0d`(3, INFO["soltimes"], INFO["spacepts"], INFO["solspace"], nops(INFO["depvars"]), INFO["solution"], true, tv, xv, dary); if errest then `pdsolve/interp2dto0d`(3, INFO["soltimes"], INFO["spacepts"], INFO["err_t"], nops(INFO["depvars"]), INFO["solution"], true, tv, xv, daryt); `pdsolve/interp2dto0d`(3, INFO["soltimes"], INFO["spacepts"], INFO["err_x"], nops(INFO["depvars"]), INFO["solution"], true, tv, xv, daryx) end if end if; dary[nd+1] := tv; dary[nd+2] := xv; if dvars = [] then [seq(dary[i], i = 1 .. INFO["norigdepvars"])] else vals := NULL; for i to nops(dvars) do j := eval(dvars[i]); try if errest then vals := vals, evalhf(j(tv, xv, dary, daryt, daryx)) else vals := vals, evalhf(j(tv, xv, dary)) end if catch: userinfo(5, `pdsolve/numeric`, `evalhf failure`); try if errest then vals := vals, j(tv, xv, dary, daryt, daryx) else vals := vals, j(tv, xv, dary) end if catch: vals := vals, undefined end try end try end do; [vals] end if end proc; stype := "2nd"; if nargs = 1 then if args[1] = "left" then return solnproc(0, "left") elif args[1] = "right" then return solnproc(0, "right") elif args[1] = "start" then return solnproc("start", 0) else error "too few arguments to solution procedure" end if elif nargs = 2 then if stype = "1st" then tv := evalf(args[1]); xv := evalf(args[2]) else tv := evalf(args[2]); xv := evalf(args[1]) end if; if not (type(tv, 'numeric') and type(xv, 'numeric')) then if procname <> unknown then return ('procname')(args[1 .. nargs]) else ndsol := pointto(solnproc("soln_procedures")[1]); return ('ndsol')(args[1 .. nargs]) end if end if else error "incorrect arguments to solution procedure" end if; vals := solnproc(tv, xv); vals[1] end proc]

(5)

fN:=eval( f(x,t), sol:-value(f(x,t), output=listprocedure)):

t := 1.2:

A1:= int(fN(x,t),x);

int(fN(x, 1.2), x)

(6)

A2 := seq(A1(x), x = 0.1 .. 1, 0.1);

Error, (in solnproc) unable to compute solution for t>INFO["failtime"]:
unable to store INFO["pts",.1][1] when datatype=float[8]

 

 


 

Download JVB1.mw

 

4 5 6 7 8 9 10 Last Page 6 of 80