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Numerical solution of PDE with nonstandard boundary condition
I wonder if Mathematica can handle following pde in two-dimensionI have tried following but got errors.I need numerical solution of the problem on line y equal to zero.Any help appreciated.
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Answer by Ulrich Neumann for Numerical solution of PDE with nonstandard...
Try an iterative solution using NestListsol = NestList[NDSolveValue[{Laplacian[u[x, y], {x, y}] == 0, u[x, 0] == 1/2 Integrate[#[x, y], {y, 1/2, 2}], u[x, 2] == Sin[Pi x],DirichletCondition[u[x, y] ==...
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Answer by Alex Trounev for Numerical solution of PDE with nonstandard...
Solution with iterative method in a loopU[0][x_, y_] := Sin[Pi x] Exp[- Pi y];Do[U[i] = NDSolveValue[{f = Interpolation[ Table[{x, NIntegrate[U[i - 1][x, y], {y, 1/2, 2}, AccuracyGoal -> 5,...
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