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Dear Colleagues,

 

I am not sure if there exist a simple way to handle the issues I am facing. I am trying to obtain numeric roots for a polynomial f(x,a). I know for sure that there can be many roots depending on the value of parameter a. However, I cannot say for sure how many roots are possible for each value of parameter a. Some of these roots are complex numbers. Also, I need to choose only those roots that have following properties:

1. They are real.

2. f(x*,a) i.e., function value at a root is positive. 

 

How do I solve f(x,a)=0 to store all roots in a set? Furthermore, how do I select and print roots that have the properties mentioned above? Is there a way to do filtering of a set specifying properties of the members of the set? Please suggest. Your help is highly appreciated.

 

Regards,

 

Omkar

 

 

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i want a scheme of fractional differential equation so that i solve my questions and make a code of it.

please provide me the scheme

i have an example, u[t] = u[xx]^2+u[yy]^2+u[zz]^2 with subject to b.c. u[0](x,y,z,t):=2*sin(x)*sin(y)*sin(z)
i used adomian method to solve this P.D.E, but i failed to construct a code of 2D P.D.E.
kindly help me in this regard

Typically sets are created like:

A:={a,b,c};

B:={c,q,w,e};

and then you can carryout A union B or B\A

 

what if  you wanted to create the set as

A:={values in some three dimensional space};

B:={volume, based on values taken from A};

Can these relationships be set up in Maple? If so, how? If there are commands that specifically handle these types of sets, what does maple call them?  I've seen the term 'set function' but what might Maple call them?

Note: I am not even sure i 'tagged' this correctly because it I am not sure the proper terms for these functions/sets.

Thanks in advance for any help.

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Hi MaplePrimes,

 

I try again to ask about a procedure I wrote.  Maybee someone can spot my error.

 

collatz_conjecture_2.mw

Here is the broken procedure - 

cs := proc (n::integer)::integer;
local count;
description "Find the number of steps for a Collatz sequence to reach 1";
count := 1;
while 1 < n do
if `mod`(n, 2) = 0 then n := (1/2)*n else n := 3*n+1 end if;
count := count+1
end do;
return count
end proc

Regards,

Matt

 

Hi everyone!

I have a problem solving the nonlinear ode (as attached below). I got this error ---> Error, (in fproc) unable to store '-1.32352941215398+(-0.441176470717993e-1, -0.)' when datatype=float[8]

1) Could someone please explain to me what does the unable store .... error means? 

and i will be grateful if you could help me finding the solution out. Thanks in advance



How can I plot the complex function f(z)=1/(1-z) for |z|<1 into maple code? (z is a complex number)

 

Best regards,

Seda 

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How can I modify the appearance of the arrowheads on the vectors displayed in phaseportrai? In particular, how can I "fill in" the arrowheads so that the arrowhead is not just an outline?

My code is:

phaseportrait([D(x)(t)=-0.4*x(t)+(0.5+4*x(t))*y(t),D(y)(t)=0.4*x(t)-(4.5+4*x(t))*y(t)],[x(t),y(t)],t=0..100,[[x(0)=1,y(0)=0.0]],x=0..1,y=0..0.1,stepsize=0.01,scaling=UNCONSTRAINED,linecolour=BLACK,dirgrid=[17,17],linestyle=1,arrows=SLIM,axes=BOXED);

Thank you

How can I modify the appearance of the arrowheads on the vectors displayed in phaseportrai? In particular, how can I "fill in" the arrowheads so that the arrowhead is not just an outline?

My code is:

phaseportrait([D(x)(t)=-0.4*x(t)+(0.5+4*x(t))*y(t),D(y)(t)=0.4*x(t)-(4.5+4*x(t))*y(t)],[x(t),y(t)],t=0..100,[[x(0)=1,y(0)=0.0]],x=0..1,y=0..0.1,stepsize=0.01,scaling=UNCONSTRAINED,linecolour=BLACK,dirgrid=[17,17],linestyle=1,arrows=SLIM,axes=BOXED);

Thank you

Hi everyone,

I'm kinda new here, and I really hope you guys can help me through this. In my new case study, after some revision, i thought i might be trying to implement a shooting method. I tried my best to make it work/understand but i couldn't get to any result.

So, as attached (i re-do PV Satya Naraya's paper first to be more understand but .....)

 

Here is my questions and the worksheet:

1) really stuck in mind - what is the purpose of shooting method for some related study?

2) what is the meaning of error .............'use midpoint method intead" 

3) Worksheet - 1MASS_JEFF_SATYA_on_Beta.mw

Thanks in advanced. Really hope that someone can help/teach me how to solve the boundary value problem by shooting method. 

 

 

restart; with(plots); lambda := 1.0; m := 2.0; M := 2; R := .1; Pr := .75; G := .1; Sc := .6; Kr := .2; blt := 5

Eq1 := diff(f(eta), eta, eta, eta)+(1+lambda)*(f(eta)*(diff(f(eta), eta, eta))-(diff(f(eta), eta))^2)-(1+lambda)*M*(diff(f(eta), eta))+beta*((diff(f(eta), eta, eta))^2-f(eta)*(diff(f(eta), eta, eta, eta, eta))) = 0;

diff(diff(diff(f(eta), eta), eta), eta)+2.0*f(eta)*(diff(diff(f(eta), eta), eta))-2.0*(diff(f(eta), eta))^2-4.0*(diff(f(eta), eta))+beta*((diff(diff(f(eta), eta), eta))^2-f(eta)*(diff(diff(diff(diff(f(eta), eta), eta), eta), eta))) = 0

(1)

``

Eq2 := (1+(4/3)*R)*(diff(theta(eta), eta, eta))+Pr*(f(eta)*(diff(theta(eta), eta))-m*(diff(f(eta), eta))*theta(eta)+G*theta(eta)) = 0;
NULL``

1.133333333*(diff(diff(theta(eta), eta), eta))+.75*f(eta)*(diff(theta(eta), eta))-1.500*(diff(f(eta), eta))*theta(eta)+0.75e-1*theta(eta) = 0

(2)

Eq3 := diff(phi(eta), eta, eta)+Sc*(f(eta)*(diff(phi(eta), eta))-m*(diff(f(eta), eta))*phi(eta)-Kr*phi(eta)) = 0;

diff(diff(phi(eta), eta), eta)+.6*f(eta)*(diff(phi(eta), eta))-1.20*(diff(f(eta), eta))*phi(eta)-.12*phi(eta) = 0

(3)

bcs1 := f(0) = 0, (D(f))(0) = 1, (D(f))(blt) = 0, (D(D(f)))(blt) = 0, theta(0) = 1, theta(blt) = 0, phi(0) = 1, phi(blt) = 0;

f(0) = 0, (D(f))(0) = 1, (D(f))(5) = 0, ((D@@2)(f))(5) = 0, theta(0) = 1, theta(5) = 0, phi(0) = 1, phi(5) = 0

(4)

L := [1.0, 1.5, 2.0, 2.5];

[1.0, 1.5, 2.0, 2.5]

(5)

for k to 4 do R := dsolve(eval({Eq1, Eq2, Eq3, bcs1}, beta = L[k]), [f(eta), theta(eta), phi(eta)], numeric, output = listprocedure); Y || k := rhs(R[3]); YA || k := rhs(R[6]); YB || k := rhs(R[5]); YC || k := -rhs(R[8]) end do

Error, (in dsolve/numeric/bvp) system is singular at left endpoint, use midpoint method instead

 

R

 

``

 

NULL

 

Download 1MASS_JEFF_SATYA_on_Beta.mw

  Hi, there

How can I draw the excircles, incircles,circumcircle and their centers of a triangle simultaneously with maple13 in a geometric plot? please specify the commands.

many thanks for your help

M.R.Yegan

I am using maple 13 to found Eingenvalues of an hermitian matrix :

M1:=Matrix([
> [lambda3+lambda4,0,0,0,0,0,lambda4/sqrt(2),0,0,I*lambda4/sqrt(2)],
> [0,lambda3/4,0,0,0,0,0,0,0,0],
> [0,0,lambda3/4,0,0,0,0,0,0,0],
> [0,0,0,lambda3/4,0,0,0,0,0,0],
> [0,0,0,0,lambda3/4,0,0,0,0,0],
> [0,0,0,0,0,lambda3,0,0,0,0],
> [lambda4/sqrt(2),0,0,0,0,0,lambda3/2,0,0,0],
> [0,0,0,0,0,0,0,lambda2,0,0],
> [0,0,0,0,0,0,0,0,lambda2,0],
> [-I*lambda4/sqrt(2),0,0,0,0,0,0,0,0,lambda4/2]
> ]);

>Eigenvalues(M1);

my surprise is that maple gives me 8 correct solutions an 2 complex eigenvalues which are not acceptable (we now that the eigenvalues for an hermitian matrix are all real) .

To understand the output of maple, first,  I suspect that the complex part of the roots was null but without success I haven't found how to do it zero...

is it a bug? Thanks a lot to cooperation

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