In the context of numerical integration of partial differential equations I am looking for tools to create difference equations for the numerical integration of PDE's. Ideally the desired integration scheme could be given as an input.

The only command that I am aware of is the DiffEquation command from the DymanicSystems package (see ?DynamicSystems,DiffEquation) which is limited to linear time invariant systems and only provides a simple forward integration scheme. 

Any insights/examples into the topic of numerical integration of pde's with Maple beyond pdsolve/numeric capabilites is very much appreciated. (I know that Maple comes with advanced numerical solvers for ODE's. MapleSim uses such solvers to integrate systems of ODE's. This seems to be, in terms of computation, close to what I am looking for.)

I am pretty new to pdsolve.

?pdsolve/numeric states

PDEsys - single or set or list of time-dependent partial differential equations in two independent variables

This could be interpreted in a way that problems with 3 independent variables can be handled (time + two others).

The rest of the helppage only describes two independent variables and does not mention time.

In case the above interpretation is wrong, I have two questions:

• If only two independent variables can be treated, why is time-depencency mentioned at all?
• Is it possible to integrate the PDE of an axially heated rod of finite length and radius with the help of pdsolve where on one end of the rod a heat flux q=q(r) is applied?

Any links to similar problems solved with Maple (not necessary with pdsolve) are very much appreciated.

Edit: Updated BCs

Download 2d_BVP.mw

This is about avoiding that automatic simplifcation removes a factor of "1" before a unit.

Example output with removed factors:

Readers of technical notes not familar with Maple interprete the above missing values before units as layout errors.
Also reading it (e.g. with a screen reader) sounds strange: "m_l equals kg" or "m_1 of kg".  As a work around a float one (i.e.: 1.) can be used, which in some instances does not look as nice as

To improve the above I thought of an inert "1" or an inert multiplication that could be removed by the value command in subsequent calculations (not necessarily visible in a document to the reader when the input is hidden).
I could not find a way for an inert "1". With inert multiplication using %* a grey asterix is printed

Can we make the grey multiplication symbol invisble?

Related discussion on 0 mm and 1 mm

https://www.mapleprimes.com/questions/241946-Round-With-Units#answer313597

Maple 2026 print layout

PDF created with print -> Adobe pdf printer -> save to file

Is that related to the attached worksheet or my installation?
If that is not reproducible on other installations, can I someone provide a file that prints correctly to test my installation?

Anything I can do about the mixed up fonts?

pdf_print.mw

Other question: Where is the pagesetup in Maple 2026? Maple shows in the printlayout a pagebreak at about 80% of the displayed page. AI could not tell me

(edit) where the page setup is to adjust the page size.

In 2-D Math input:
In a product of more than two factors space is not allways sufficient to delimite factors when one of the factors is of type numeric.

Just for my interest: Is there a reason or a rule for that?

Download Missing_operation.mw