Multi-domain pseudo spectral relaxation method for systems of nonlinear initial value differential

Abstract

In this article, a novel approach for solving system of nonlinear population dynamic equations over a large time domain are presented. The novel approach is termed the multi-domain pseudo-spectral relaxation method (MPSRM). This method makes use of Legendre-Gauss-Lobbatto grid points, Gauss-Seidel relaxation technique, and the pseudo-spectral collocation method to approximate functions defined by Lagrange interpolation. The method is developed for a general system of n nonlinear population dynamic differential equations. ...

В