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spNDSolve (Spectral NDSolve)

A Mathematica package for solving PDEs by the pseudospectral method (v0.2, Jie Ren)

Philosophy of the design: Leave complexity to ourselves, and give simplicity to users.

To be updated.

Put the spNDSolve.m in the directory

SystemOpen@FileNameJoin[{$UserBaseDirectory, "Applications"}]

Load the package by

<< spNDSolve.m

The documentation is in the notebook spNDSolve Manual.nb (to be completed).

  1. At the first (symbolic) stage, specify equations and boundary conditions by eqProcess.
  2. At the second (numerical) stage, solve the system numerically by spNDSolve.

The folder PDW contains a nontrivial example as the background solution in 1612.04385 and 1705.05390.

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A Mathematica package for solving PDEs by the pseudospectral method

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