keywords: Adomian polynomial, homotopy perturbation, Laplace, nonlinear volterra, series expansion
The Nonlinearity of differential equations has been a hard to crack nut for years. Recently many researchers have devised several approximate methods of handling it. In this work the Laplace Transform Series Decomposition Method (LTSDM) for solving nonlinear VolterraIntegro Differential Equation is presented. The method is based on the elegant combination of Laplace Transform method, Series expansion method and Adomian polynomial. The numerical results obtained in this work are favourablycompared with the exact solutions and the Modified Homotopy Perturbation Method (MHPM). The compared results clearly showed that the LTSDM is a powerful, accurate, reliable and efficient method.
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