New Approach to Mixture of the Adomian Decomposition and Homotopy Perturbation Method for Approximate and Analytical Solution of Integral Equations and Fractional Differential Equations
نویسنده
چکیده
Nonlinear phenomena play a crucial role in applied mathematics and physics. Analytic solutions to the nonlinear equations are of fundamental importance. Various methods for obtaining Analytic solution of nonlinear evolution equations have been proposed. In this paper a combination of the Homotopy Perturbation method (HPM) and Adomian decomposition method is employed for solving nonlinear integral equation and comparison is made between the other methods. The results reveal that the proposed method is very effective and simple and leads to accurate, approximately convergent solutions to linear and nonlinear equations. 2798 E. Hesameddini and H. Latifizadeh Mathematics Subject Classification: 65R20, 53C05
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