Abstract:
We will present a MATLAB package for nonlinear evolution equations, based on the Lyapunov–Schmidt(LS) method. The eigenfunctions 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.
Keywords and phrases:Lyapunov–Schmidt method, evolution equations, MATLAB package.