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Comparison of the Adomian decomposition method with homotopy perturbation method for the solutions of seventh order boundary value problems
Authors:Shahid S Siddiqi  Muzammal Iftikhar
Institution:1. Department of Mathematics, University of the Punjab, Lahore 54590, Pakistan;2. Department of Mathematics, University of Education, Okara Campus, Okara 56300, Pakistan
Abstract:The aim of this paper is to compare the Adomian decomposition method and the homotopy perturbation method for solving the linear and nonlinear seventh order boundary value problems. The approximate solutions of the problems obtained with a small amount of computation in both methods. Two numerical examples have been considered to illustrate the accuracy and implementation of the methods.
Keywords:Adomian decomposition method  Green&rsquo  s function  Homotopy perturbation method  Seventh order boundary value problems  Linear and nonlinear problems  Series solution
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