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Apr 9, 2022 at 2:29 comment added Alex Trounev @user85941 First, see tutorial/NDSolveOverview about numerical methods to solve PDE implemented in Mathematica. There are nice explanation about FEM application on FEMDocumentation/tutorial/FiniteElementOverview , See also second popular method tutorial/NDSolveMethodOfLines. On this Forum we have very nice collection with FEM and FDM numerical examples. See also some topics about numerical methods on community.wolfram.com/dashboard
Apr 8, 2022 at 22:59 comment added user85941 Thanks Mr Alex. got my answer! actually we dont have to use IC2 in your code. BTW thanks again. Will ask u more about similar problems. also, pl tell a book good and easy one for getting used to apply FEM/FDM/FVM in Mathematica....a Good one and and EASY one. REGARDS.
Apr 8, 2022 at 16:35 comment added user85941 Thanks Mr. Alex for your Excellent code no. 2 for Dirichlet BC. I pasted and run successfully (matching with my previous results for Dirichlet BC i.e. same values, 2D/3D curves etc). Albeit your code was SMARTER one!!! Also, I learnt a new part ie MathematicaFEM. However, when i pasted your code no. 1 for Neumann BC (actually an intelligent way of Danckwerts BC1), I am getting two errors: (1) NDSolve::bcart: Warning: an insufficient number of boundary conditions .... Artificial boundary effects ..... (2) NDSolve::ndnum: Encountered non-numerical value for a derivative at t == 0.`. Plz help...
Apr 8, 2022 at 16:23 comment added user85941 Thanks Mr. Alex for your excellent code no. 2 for Dirichlet BC. I pasted it and it ran successfully, matching with my previous code for same Dirichlet BC (same numerical values, curves etc). Albeit your code was SMARTER!!! Also, I learnt something about FEM.
Apr 8, 2022 at 11:56 history answered Alex Trounev CC BY-SA 4.0