Comparative Study of the SBA and MOL Methods. Application to Some Systems of Nonlinear Partial Differential Equations

The paper aims at solving two systems of nonlinear partial differential equations , namely the Fisher-Murray and the Fitz Hugh-Nagumo which are two different mathematical models often used to study ecological and biological phenomena. These systems of equations are solved using the numerical Method of Lines (MOL) and the computed solution are compared with the ones obtained from SBA method(combination of Adomian method, Picard and successive approximation) by means of Matlab routines. The results showed the accuracy and the effeciency of two methods.