Numerical methods for the generalized Fisher-Kolmogorov-Petrovskii-Piskunov equation

Authors:
J. R. Branco;J. A. Ferreira;P. de Oliveira
Affiliations:
Departamento de Física Matemática, Instituto Superior de Engenharia de Coimbra, Rua Pedro Nunes - Quinta da Nora, Coimbra, Portugal;Departamento de Matemática, Universidade de Coimbra, Largo D. Dinis, Coimbra, Portugal;Departamento de Matemática, Universidade de Coimbra, Largo D. Dinis, Coimbra, Portugal
Venue:
Applied Numerical Mathematics
Year:
2007

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Abstract

In this paper we study numerical methods for solving integro-differential equations which generalize the well-known Fisher equation. The numerical methods are obtained considering the MOL (Method of Lines) approach. The stability and convergence of the methods are studied. Numerical results illustrating the theoretical results proved are also included.