Abstract

CONVERGENCE ANALYSIS OF PARAMETERIZED HOMOTOPY PERTURBATION METHOD FOR NONLINEAR DIFFERENTIAL EQUATIONS

1M. Y. Adamu, 2P. Ogenyi and 3G. T. Adamu

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Abstract In this paper, convergence analysis of parameterized homotopy perturbation method is presented. Nonlinear differential equations are solved and Banach fixed point theorem is used to analyze the convergence of the method. Obtained results showed that the parameterized homotopy perturbation method is converging to the exact solution. Keywords: Parameterized Homotopy, Perturbation Method, Convergence Analysis Nonlinear differential Equations

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