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finitedifference

Numerical algorithms to integrate some celebrated nonlinear partial differential equations.

This repository includes some finite difference methods to solve the following problems:

  • Bour (sine-Gordon)
  • Korteweg--de Vries
  • Kadomtsev--Petviashvili
  • van der Pol pendulum
  • nonlinear pendulum
  • fractional diffusion (super--diffusion)
  • diffusion
  • advection
  • Poisson

The code might not perform neither efficiently nor correctly. You are advised to study the theory. Feel free to contribute with corrections, improvements and also with additional methods.