## Heat equation initial/boundary conditions...

What would be the IBC conditions for the 1D heat equation describing the temperature distribution along a circular rod with a heat source at its base?

## RootOf Error needing to be dispatched to the engin...

Hi, i encountered this, error, and the link to the help page was broken.

Error, (in RootOf) expression independent of _S000100

## Solve the PDE with conditions......

Hi every body :

I want to slove this below PDE with conditions 1&2, can every body help me, tnx.

PDE := diff(u(x, t), t)+6*u(x, t)*(diff(u(x, t), x))+diff(u(x, t), x, x, x) = 0;

1.x=0

2.assume t is step function(Heaviside).

with regards....

## How to implement fractal flames in Maple?...

See Wiki and the description  in flame_draves.pdf for info and an example below.

## stop calculating...

hi!

Hi I have a 8x8  matrix and I was attempting to get maple to find the eigenvalues. but after a while I thought it is caught in an infinite loop!  anyway I manually kill the mserver processing and saved the maple worksheet and restarted the laptop. but after all these it seems its still working.CPU usage and memory (in task maneger) are still high!

how can I get rid of this condition?

## Use ** rather than ^ when printing to file...

I am writing a matrix to file where each matrix element is placed on a new line. An example of such code:

```restart:
HH:=Matrix([[x**2,x**z,z**12],[2*x,5**y,6**1]]):
filenameHH:=fopen("test.txt",WRITE,TEXT):

nRow,nCol :=LinearAlgebra[Dimension](HH);
for i from 1 to nRow do
for j from 1 to nCol do
fprintf(filenameHH,"%a\n",HH[i,j]):
od:
od:
fclose(filenameHH):
```

When this is printed to file, it will print as the power sign ^ regardless of the input it is given. This particular output file will be read in by another language, and due to this the power symbol "^" is not desired, but instead " ** ". By converting the matrix into a string format and applying string operations, this can be done; but is there a simpler way to do it?

-Yeti

## Analytical solution...

Hey friends

I want to solve this relation with respect to "M"analytically but maple answer me: "Warning, solutions may have been lost"

How I can solve this problem and get to an analytical solution. It must be noted -1<w<-1/3. we can fix "w" with any value inn this interval. It be accepted any solution for any fixed "w".

Thank you

Analytically_solution.mw

## why this error message? Error, (in forget) lexical...

the following code results in an error message: Error, (in forget) lexically scoped parameter out of context

If I click on this error message, it brings me to a page which I visited too often.

if I uncomment the irrelevant minimize command, the error message disappears.

How can I prevent this error without giving irrelevant commands?

kind regards,

Harry Garst

## Eigenvalues. Mechanical problem...

I solve a mechanical exercise but i had a problem.

I know M (mass) and K (stifness) matrices (4x4).

I want to solve the (λ2M+K)v=0  eigenvalue problem, where λ are the eigenvalues and v eigenvectors.

How can i solve this problem.  I tried with the Eigenvectors() command but it didn't give the right solution.

The Eigenvalues are okay, but the eigenvectors not

K := Matrix([[4*10^7,-1.50*10^7,2*10^7,0],[-1.50*10^7,1.50*10^7,0,1.50*10^7],[2*10^7,0,8*10^7,2*10^7],[0,1.50*10^7,2*10^7,4*10^7]]);

M:=Matrix([[121.90,99.048,-91.429,0],[99.048,594.29,0,-99.048],[-91.429,0,243.81,-91.429],[0,-99.048,-91.429,121.90]]);

w1,w2:=Eigenvectors(K,M);

Acoording with the book the right eigenvectors(shape mode) are:

[0.013 991,  0.034 233,  0.073 683,  0.090 573]
[0.035 637, 0, -0.032 213, 0]
[0 ,-0.034 233, 0, 0.090 573]
[-0.013 991, 0.034 233, -0.073 683, 0.090 573]

Thank you

## "unable to store %1 when datatype=%2", -9.65986559...

hello...how i can remove this error?

thanks

 (1)

 (2)

## how to find back the input if slope is this?...

sph := <R*cos(u)*cos(v)|R*sin(u)*cos(v)|R*sin(v)>;
GK(sph); #Gauss Curvature
MK(sph); #Mean Curvature

how to find sph if slope is tan(u) ?

## plot a equation with complex in bessel function....

hello experts,

I was using maple for a physical  problem,

and things turned very complicated with a equation with bessel function in it,

like this and,

which include complex,

the whole equation is as followed:

the variable is f and RV,,dependent variable is RV.

how am I supposed to plot RV when f=100..4000?

it is certain RV has real part and imaginary part,maybe i need a 3Dplot?

please let me know if you have any idea.

best regards,

want to plot the relationship between RV and f,but how?

 (1)

## how can I display long equations or configure mapl...

how can I print my equation or configure maple so that they don't try to autofit themselves in the window? and what would the best way to export them to MATLAB be? I know there's the codegeneration command.

For example, I noticed that the output of some commands like StateSpace prints the equations in a way that if they are too long, they won't try tu fit, but rather it lets you scroll to the right:

## Copying texts to the clipboard...

Hello,

Is there a Maple command for copying a text to the clipboard ? (Apart from using the contextual menu or the Edit-Copy menu option)

For example:

ee := x^2+y^2+z^2

CopyToClipboard( convert(ee,string) )

Thank you,

## searching for sensitivity analysis package in mapl...

Hi,

Although everyone one might know, but still I want to clarify the concept of Sensitivity analysis. Suppose we have an objective function Z in which we have two variables X & Y and two parameters a and b. So in sensitivity analysis, we systematically change the values of parameters ( for eg. changing value of "a" by 20%, then 40%, then 60%, similiarly for parameter "b"). At a time, we only change the value of one parameter and the values of other parameters remain fixed to their original value. Then we would again solve the model ( ie. objective function Z) and calculate the new values of objective function and variables.  Then we try to see the impact of parameter change on the value of objective function Z and on variables X & Y.

The formula for sensitivity analysis for parameter a is  for objective function Z =

(new values of objective function  - old value of objective function)*100 / (old value of objective function)

Here new value of objective function Z denotes when we use changed value of paramter a (keeping other parameter values fixed to their original value) and old value of objective function denotes value of Z with all parameters (including parameter a) at their original value

Although I can do it by a for loop but it is not an efficient procedure and also time consuming. Can anybody suggest whether any package suitable for sensitivity analysis is available in maple.