Application of the SBA Method to Solve the Nonlinear Biological Population Models

Stevy Mikamona Mayembo, Joseph Bonazebi-Yindoula, Youssouf Pare, Gabriel Bissanga

Abstract

This paper presents numerical solution of some nonlinear degenerate parabolic equations arising in the spatial di¤usion of biological populations. The SBA method based on combination of Adomian decomposition method, principle of Picard and successive approximations is used for solving these equations. The analytical obtained solutions show that the SBA method leads to more accurate results.

Keywords

SBA method; ADM method, biological population model,spatial dif- fusion of species,Picard principle, successive approximations.

Full Text:

PDF