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JOURNALS // Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica // Archive

Bul. Acad. Ştiinţe Repub. Mold. Mat., 2007 Number 3, Pages 23–34 (Mi basm71)

LiScNLE – a Matlab package for some nonlinear partial differential evolution equations

Titus Petrilaa, Damian Trif

a Department of Applied Mathematics, Babes-Bolyai University of Cluj-Napoca, Romania

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.

MSC: 34B15, 49M15, 65M70

Received: 21.09.2006

Language: English



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