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LiScNLE – a Matlab package for some nonlinear partial differential evolution equations. (English) Zbl 1139.65067
Summary: We present a MATLAB package for nonlinear evolution equations, based on the Lyapunov-Schmidt method. The eigenfunction basis of the linear part is used to represent the solution at every time level (or for every value of the parameters in the case of bifurcation analysis). These eigenfunctions are calculated in a preprocessing stage or are given by the user.
MSC:
65M20 Method of lines for initial value and initial-boundary value problems involving PDEs
35K55 Nonlinear parabolic equations
65Y15 Packaged methods for numerical algorithms
65L10 Numerical solution of boundary value problems involving ordinary differential equations
34B05 Linear boundary value problems for ordinary differential equations
Software:
LiScNLE; Matlab
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