Approximate solution of a model describing biological species living together by Taylor collocation method

Abstract

In this paper, a numerical method is presented to obtain approximate solutions for the system of nonlinear delay integrodifferential equations derived from considering biological species living together. This method is essentially based on the truncatedTaylor series and its matrix representations with collocation points. Also, to illustrate the pertinent features of the method examples arepresented and results are compared to the Adomian decomposition method, the variational iteration method, pseudospectral Legendremethod. All numerical computations have been performed on the computer algebraic system Maple 15