Abstract
Scientists and engineers have developed the use of Homotopy Perturbation Method (HPM) in non-linear problems since this approach constantly distort the intricate problem being considered into a simple problem, thus making it much less complex to solve. The homotopy perturbation method was initially put forward by He (1999) with further development and improvement (He 2000a, He, 2006). Homotopy, which is as an essential aspect of differential topology involves a coupling of the conventional perturbation method and the homotopy method in topology (He, 2000b). The approach gives an approximate analytical result in series form and has been effectively applied by various academia for various physical systems namely; bifurcation, asymptotology, nonlinear wave equations and Approximate Solution of SIR Infectious Disease Model (Abubakar et al., 2013).
Highlights
Model EquationsConsidering the following systems of non-linear ordinary differential equation given as;
Scientists and engineers have developed the use of Homotopy Perturbation Method (HPM) in non-linear problems since this approach constantly distort the intricate problem being considered into a simple problem, making it much less complex to solve
Homotopy, which is as an essential aspect of differential topology involves a coupling of the conventional perturbation method and the homotopy method in topology (He, 2000b)
Summary
Considering the following systems of non-linear ordinary differential equation given as;.
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