LiScM2 is a MATLAB package for the numerical solutions of some partial differential evolution equations u_t+Lu=N(u,\nabla u), with boundary and initial conditions, where L is a 2D linear elliptic operator (Laplace operator for this version) and N is a nonlinear part.
The algorithm is based on the eigenfunctions expansion together with the Lyapunov-Schmidt reduction procedure. The eigenfunction basis of the linear part L of the problem is used to represent the solution at every time level and these eigenfunctions are calculated in a preprocessing stage. A boundary-fitted computational grid is generated in order to allow a complex geometry of the physical domain in the 2D case.
引用
Damian Trif (2024). LiScM2.0 (https://www.mathworks.com/matlabcentral/fileexchange/16607-liscm2-0), MATLAB Central File Exchange. 取得済み .
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liscm2/LiScM2/
liscm2/examples/ex1e/
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liscm2/examples/ex2e/
liscm2/examples/ex2s/
liscm2/examples/ex3e/
バージョン | 公開済み | リリース ノート | |
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1.0.0.0 |