How to plot Nabla Discrete Mittag - Leffler Function in Maple?

How can we unveil all the possible transformations that reduce the number of independent variables of a given pde? I tried it by using "InvarientSolutions" which gives eight possible transformations. But under those transformations, I got only two different odes. Is there any other method/command from which we can get other possible odes of a given pde?

pde_ode.mw

The transformed boundary conditions are

Please and please, I have been having this challenge for some time now and I would be so so happy if I can get a solution to my challenge. I have been worried on:

how do I use these definitions (Volterra Integral Equation and Caputo definition) to solve

Helper, please. You can use any definition you are familiar with also. Only I need a fractional definition.

Thanks

My question is about the physics package: when transforming the metric tensor to new coordinates, sometimes the new coordinate can be expressed easily as a variable inside the new matrix entries,  but the new matrix is still displayed completely in terms of the old variables. How can I force it to display everything in terms of the new ones?

Why I get "Error, invalid subscript selector" error in my code?

y1 := Grid:-Seq(UP1(s, U, V, W, Phi, Xi, N, a, b, II, JJ, A, B, Dd, M, Ns), s = 1 .. 7);
UKt := add(y1[i], i = 1 .. 7);

Error, invalid subscript selector

As you can see y1 is defined without any problem and have 7 seqments, but the next line warns invalid subscript selector.

I read the article "Approximate Symmetries and Infinite Series Symmetry Reduction Solutions to Perturbed Kuramoto–Sivashinsky Equation", and also searched out in Maplesoft website, but couldn't found. Does anyone have the package?

I would like to be able to use python's matplotlib from Maple. I am doing the following currently

with(Python)
Start('home' = "/opt/anaconda3/lib/python3.9", 'path' = "/opt/anaconda3/lib/python3.9/site-packages")
ImportModule("matplotlib as mpl")

and the error I get back is

Error, (in Python:-ImportModule) ModuleNotFoundError: No module named 'matplotlib'
['Traceback (most recent call last):\n', '  File "<string>", line 1, in <module>\n', "ModuleNotFoundError: No module named 'matplotlib'\n"]

The string I passed into path is the directory where matplotlib seems to be located as far as I can tell. I looked this up in my IDE Spyder, but using the command print(matplotlib__file__).

UPDATE: but actually if I open a new worksheet and execute 

with(Python)
Start('home' = "/opt/anaconda3/lib/python3.9", 'path' = "/opt/anaconda3/lib/python3.9/site-packages")

The error is that 

Error, (in Python:-Start) unable to start Python: could not create process, mpython

So Maple isn't finding Python apparently.

I tried for 'home' also "/opt/anaconda3/bin", did not work.
 

Hello guys.
Is there any way to frame the styles: Input 2D, Output 2D and Text?

Oliveira.

A robust largescale index-1 DAE (and stiff ODE) solver has been developed in Maple.

PS: These codes run only with the Java version of Maple. Codes are saved as *.mws for the ease of typing. One can download the files and save them as *.mw as well.
Details about our approach are provided in a paper just submitted. 
See arxiv at
https://arxiv.org/abs/2212.02630

We encourage everyone to test these codes and report bugs. All the examples can be run with Intel's Pardiso (provided users have access to libraries) by calling DAESolverP.txt and by calling "IMPDAEP" instead of "IMPDAE". This is useful for large-scale problems. The symbolic capability and ListTools search capability of Maple are very good and can be used for developing optimization solvers as well.

I would like to know if CPU time/memory usage can be reduced significantly. In particular,  for examples 5 and 6. Some ways to contribute include

(1) Running the code in evalhf or compiled form. This may be hard.
(2) Providing options to run other parallel open-source linear solvers (eg., MUMPS).

(3) Other examples that show the use of the developed solver. We are able to solve > 100,000 DAEs.

(4) Helping in converting the code to Maple 14 or earlier (by doing sparse LU Decomposition. Just using LinearSolve will slow down the code).

Please avoid ~,*, etc (shortcuts) unless it improves the speed of calculation.
Thanks 
Dr. Venkat Subramanian

Download examples_1_3.mws

Download example_4.mws

Download example_5.mws

Download example_6.mws

mw format files are given below
Download examples_1_3.mw

Download example_4.mw

Download example_5.mw

Download example_6.mw

DAESolver.txt

DAESolverP.txt

Trying to use the following question dialog

with(Maplets[Elements]);
maplet := Maplet(QuestionDialog("Is x > 0?"));
result := parse(Maplets[Display](maplet));

Displays question with Yes and No buttons but whichever button is clicked the result is always false.  This was based closely on an example from the documentation.

So, how can I tell which button was clicked.  Also, the close button could have been clicked - how should that be dealt with?

Hello guys.

Is there any way to convert a worksheet to a document and vice versa?

Regards,

Oliveira.

xwhat is the fenchel conjugate transform of f(x)=x₁ *x₂*x₃ over x_i in R?  the general question is what is the fenchel transform of a polynomial that is not a quadratic?

please, help me..this is my model

I have a fairly simple worksheet with a 56x2 matrix M1 which I am trying to export to Excel with the following 

ExcelTools:-Export( M1, "C:/Temp/M1.xlsx", 1, "B2")

This causes the following message to appear

After that the program is frozen and totally unresponsive.  The only way to proceed is end the task in Task Manager..

I am trying to upload the worksheet but am not sure if I have succeeded

Download Calculation_of_pH_from_known_values_of_Vb.mwCalculation_of_pH_from_known_values_of_Vb.mw