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PDESolve—Wolfram Documentation

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PDESolve[cdata,bcdata,vd,sd,mdata]

solves a PDE based on coefficient data cdata, boundary condition data bcdata, variable data vd, solution data sd and method data mdata to return new solution data.

Load the finite element package:

Set up a NumericalRegion:

Set up variable and solution data:

Initialize the partial differential equation data:

Set up the solution of the linear PDE . Initialize the linear coefficients:

Initialize the linear boundary condition data:

Solve the PDE:

Post-process the PDE:

Set up the solution of the nonlinear PDE . Initialize the nonlinear coefficients:

Initialize nonlinear boundary condition data:

Specify an initial guess:

Solve the nonlinear PDE:

Post-process the PDE:

Inspect the number of function calls, steps and Jacobian evaluations needed:

Specify that PDESolve is to use the default FindRoot root-finding algorithm:

Specify that PDESolve is to use the default affine covariant Newton method:

Set up PDESolve to not use Broyden updates:

Set a PrecisionGoal for the default PDESolve FindRoot method:

Specify PDESolve to use a direct method for LinearSolve:

Specify PDESolve to use a Krylov method for LinearSolve:

Specify PDESolve to use a customer function for LinearSolve:

Options given to PDESolve can be given to NDSolve by specifying "PDESolveOptions":

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