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A COMPARISON OF ADOMIAN DECOMPOSITION METHOD (ADM) AND HOMOTOPY PERTURBATION METHOD (HPM) FOR NONLINEAR PROBLEMS
Journal: IMPACT : International Journal of Research in Applied, Natural and Social Sciences ( IMPACT : IJRANSS ) (Vol.1, No. 3)Publication Date: 2013-08-31
Authors : MUHAMMAD SHAKIL TAHIR KHAN HAFIZ ABDUL WAHAB; SAIRA BHATTI;
Page : 37-48
Keywords : Adomian Decomposition Method; Homotopy Perturbation Method; System of Nonlinear Differential Equations;
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Abstract
In this paper, approximated solutions for some non linear problems are calculated by the Adomian Decomposition Method (ADM) and Homotopy Perturbation Method (HPM) and then the results are compared. The fact that the Homotopy Perturbation Method (HPM) solves nonlinear problems without using Adomian’s polynomials is a clear advantage of this technique over the Adomian Decomposition Method (ADM).
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Last modified: 2013-08-31 18:05:41