## Implicit Crank Nicolson Finite Different Method...

Hye,

Have a good day Sir.

can u help me how to solve my problem using the Implicit Crank Nicolson Finite different Method. I have attached the problem and what I have done in Word file. I have to modify my Equations in order to get the graphs (that is wrong actually). Can you help how to get the graphs by not change the sign of my equations?:(

God Bless you.

## Problem to generate Matrix...

Aslam-u-Alikum. Hope you will be fine. I have some error in the last command of the attached file. I want this type of answer

StressesMultiplication := Matrix(2, 2, {(1, 1) = 7, (1, 2) = 10, (2, 1) = 15, (2, 2) = 22})

n.mw

PhD (Scholar)
Department of Mathematics

## To get value in decimal...

Aslam-u-Alikum. Hope you will be fine. I facing the problem of the last line to the attached program. I need the values of lambda in decimal.

Help.mw

PhD (Scholar)
Department of Mathematics

## Customised plotting...

How do you move plot labels individually? Just click-hold-and-drag does not work.

"A Virtual 3D Solar System": http://www.maplesoft.com/applications/view.aspx?SID=4484&view=html#mapleautobookmark5

How do you color the orbits individually?

## How to ArrayInterpolation using real numbers?...

Hi,

I am trying to interpolate a set of arbitrary numbers including real ones like Pi and plot them using ArrayInterpolate. This does not work. Is there a simple way around this?

Thank you.

## Error in solving equation involving a procedure an...

I am trying to find the root of an equation that involves a procedure and a definite integral (solved numerically). Of course, I don't need the root to be found symbolically, but numerically would be fine. The problem is, I keep getting the error

"Error, (in fsolve) Can't handle expressions with typed procedures"

whenever I try to solve it. Anyone have any ideas? My worksheet is here: Table-1-duplication-mapleprimes.mw

## Symmetric matrix in Maple...

I'm computing a matrix which is a hessian of a quadratic function and it should be symmetric.

Unfortunately, because of the numerical errors, the hessian matrix becomes unsymmetric.

Then, I want to use this matrix as the input for the QPSolve procedure, and I get the error that the matrix is unsymmetric.

To obtain the symmetric matrix, I'm doing the following redundant computation:

A := MTM[triu](B, 1) + Transpose(MTM[triu](B)):

Is there a better solution to this problem?

## Factorization of a number...

AoA. Hope you will be fine. I want to factorize 2046 as

2046=2*1023

but maple gives

ifactor(2046)=11*(2*3)*31

PhD (Scholar)
Department of Mathematics

## want to plot a arc ...

i want to plot a arc that starting angle and finishing angle are variable

but it didn't show the arc there is my code

## How do I plot the equation x^3 +y^3 -3xy=0...

Hi there,

I used the implicitplot command to plot an implicit equation as follows:

with(plots):

implicitplot(x^3+y^3-3xy=0,x=-3..3,y=-3..3, scaling=constrained)

but maple13 takes error and specifies {xy} as an extra unknown.

Regards

## Band matrix for a square matrix...

AoA. How are you hope you will be fine. Sir the following matrix have been given

A := Matrix(2, 2, {(1, 1) = 1, (1, 2) = 2, (2, 1) = -1, (2, 2) = 2});

B := Matrix(2, 2, {(1, 1) = 1, (1, 2) = 0, (2, 1) = -2, (2, 2) = 3});

C := Matrix(2, 2, {(1, 1) = 0, (1, 2) = 0, (2, 1) = 0, (2, 2) = 0});

I want to write M by M matrix using the above matrices like this

P:=[[[A,B,B,...,B],[C,A,B,...,B],[C,C,A,...,B],[.,.,.,...,B],[C,C,C,...,A]]]

PhD (Scholar)
Department of Mathematics

## Line style and legend for graph...

AoA... I want to plot the following functions

f(x)=sin(x)

g(x)=sin(x)-x+x^2

h(x)=cos(x)-sin(x)

I(x)=exp(x)-x

J(x)=sin(x)+exp(x)

in one coordinate having the line style and legend like attached file.

1-s2.0-S0377042714003331-main.pdf

PhD (Scholar)
Department of Mathematics

## Command of define the matric...

AoA. How are you? Sir want to generate the attached square matrix for any value of M. Please help.

PhD (Scholar)
Department of Mathematics

## Solve matrix expression...

AoA. How are you? I want to solve the following equation in one step and convenient way please help

psi(x):=Matrix(1,3,[x,x-1,x^(2)-x-1])

P := Matrix(3, 3, [1, 2, 1, 0, 1, 1, -1, 2, 3])

U := Matrix(3, 3, [a[1, 1], a[1, 2], a[1, 3], a[2, 1], a[2, 2], a[2, 3], a[3, 1], a[3, 2], a[3, 3]])

u := psi(x)^T*(P^2)^T*U*P^2*psi(t)-t*psi(x)^T*(P^2)^T*U*P^2*psi(1)-x*psi(1)^T*(P^2)^T*U*P^2*psi(t)+t*x*psi(1)^T*(P^2)^T*U*P^2*psi(1)

If you reduce my computational work or have any suggestion to solve please give.

PhD (Scholar)
Department of Mathematics

## Define a loop and if structure ...

AoA. How are you? Hope you will be fine. I want write the following in Loop for any M

F[r,s]:=2^(k+2) m sqrt((c[r-1])/(c[s-1])) for r=2...(M+1), s=1..r-1 and (r+s)=odd;

F[r,s]:=0  otherwise

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