Hi!

I have a sequence of difference polynomials (which I obtained by the method of finite differences) and I would like to find out if there is a recurrence relation between them.

The generating function of general difference polynomials is given by:

I tried to solve a non linear coupled boundary value problem in MAPLE using DSolve command. The code is :

alias(eta = e, theta = t)

Eq[1] := 5*(diff(F(e), `$`(e, 3)))+(m+3)*F(e)*(diff(F(e), `$`(e, 2)))-(2*m+1)*(diff(F(e), e))^2-(4*m+2)*H(e)-(m-2)*e*(diff(H(e), e)) = 0

Eq[2] := diff(H(e), e) = t(e)

Eq[3] := 5*(diff(t(e), `$`(e, 2)))/Pr-(m+3)*F(e)*(diff(t(e), e))-5*m*(diff(F(e), e))*t(e) = 0

BCs := [F(0), (D(F))(0), (D(F))(infinity), t(0)-1, t(infinity), H(infinity)]

Is there any command in Maple 15 to linearize an PDE non-linear? Or or there is a package or help file to do so?

I'm handling with Non-linear PDEs in my work and I would like to solve them by these methods.

Thank You

Washington Inacio

It's possible to define a field in Maple 15 with 2 kinds of indices, say type spacetime μ,ν,ρ... and one of the type integer, i,j,k varying from 1 to n?

I would like to define a field like A_μⁱ where:

A_μ¹=A_μ

A_μ²=B_μ 

and so on.  

Thank you Washington Inacio

Write the equation for the plane P contains the straight line 

d: x = 2 + t, y = t, z = 2 + 2t,

so that, the distance  

Problem: Write the equation of the straight line (d) through the point A(1,-2,3), cut the straight line 

Delta: x = 3*t+1, y = t, z = t-1 and parallel to the plane (P): x + 2*y + 3*z + 4 = 0.

We know that, if the straight line (d) through the point A and parallel to the plane (P), then (d) lies on a plane (Q), which (Q) through the point A and parallel to the plane (P).

i need to write a program for my calculator to solve these eqution 

Vr =any number i enter it

Ir =any number i enter it

L= any number i enter it 

Z= any number i enter it

Y=any number i enter it

w=sqr (ZxY)

Zc= sqr (Z\Y)

A=D= cosh wL

B=Zc sinh wL

C= (1\Zc) sinh wL

Vs = AxVr + BxIr

Is = CxVr + DxIr

Vs= the number we get from the Vs eqution 

Ir = the...

I am learning about programming; I have this equation:

2*K2*alpha*t=ln[(A0+E(beta-1/2)/(A0-E(beta+1/2)

The values of t, E are a list of values.

and K2 alpha and beta are unknown but i dont know how to do for graph the part of ln vs time and fit it to a line.

How can I show that the Least Square solution x = (A'.A)^-1.A'.y
Is different when A is an orthogonal matrix compared to an
overdetermined or underdetermind matrix.

Preferably transform the matrix using Singular Value Decomposition (SVD)
or something similar.

Thanx

For LSSolve I have the objective function as a procedure that calls another procedure (procPatientres) according to below:

p:=proc(x::Vector, y::Vector)

y[1]:=procPatientres("patient specific parameters", x[1],x[2]);

y[2]:=procPatientres("patient specific parameters", x[1],x[2]);

end proc;

This is a test example where I only fit to patients. Since the returned residuals, y[1] and y[2], are just values the first derivative is simple zero and I...

Does anybody know how to configure the model to obtain the position constraint equations of a slider-crank mechanism as:

l1·cos(theta)+l2·sin(beta)-s = 0
l1·sin(theta)-l2·cos(beta) = 0

instead as obtained in the help-example on:
http://www.maplesoft.com/support/help/MapleSim/view.aspx?path=MapleSim/Multibody/Kinematic_Exports

Thanks in advance

Im asked on one of my problem sheets to write a procedure to inverse a square matrix using LU factorization and using partial pivoting. I can do all of these using simple pen and paper but am struggling towrite the procedure, especially to involve the partial pivoting and to then solve the linear system. Any ideas how I can do this question?

Hi all,

I have data which I want to give a simpler and a smaller interpolation function. Not necessary with Cubicspline as in the code attached (polynomial, exponential, etc..).

Thanks in advance

interpolation.mw

Dear,

I have problem that after using assume(...) and then use label such as (1.1)... then the assumptions are lost. Is it a bug?

Below is my attached worksheet (I used Maple 13 , I don't know if later version is better?)

label_and_assume.mw

Actually , the lost of assumptions will cause some problems such as make integration become unevaluated.... and will take you a hard time to debug...

Hi,

I need help of your expertize in solving the following queries:

I would start with a sample equation:

Eq1 = u_{xxxx} + u_{xxyy} - v_{xxxy} - v_{xyyy} 
where u_{xxxy} represents 4th order pde of u i.e. d^4/(dx^3 dy).

I get a equation similar to Eq1 (but quite complicated) on solving the 
equilibrium equations. I would like to collect the similar derivatives
for variable u and v together like

Eq2 = d^2/d x^2 ( u_{xx} + u_{yy} ) - d^2/dx dy ( v_{xx} + v_{yy} )