FreeFem++ script to solve numerically the sine-Gordon equation in a Y-junction geometry
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README.md

README.md

sine-Gordon solver for FreeFem++

sine-Gordon kink

This script allows to solve numerically the sine-Gordon equation in a Y-junction geometry using the Finite Element Method (FEM). The scheme is of 2nd order in space and time. The implixit-explicit time stepping method is of the Crank-Nicolson type and it possesses excellent energy conservation properties.

Some scientific results on the sine-Gordon equation in a tree-like geometry were obtained using this method. They are briefly described in the following preprint:

Any comments are welcome!

Authors

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FreeFem++

The code FreeFem++ is a Partial Differential Equation (PDE) solver based on the Finite Element Method (FEM) which can be freely downloaded for various platforms here: