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Solving variational problems by homotopy–perturbation method

✍ Scribed by O. Abdulaziz; I. Hashim; M. S. H. Chowdhury

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
190 KB
Volume
75
Category
Article
ISSN
0029-5981

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In this work, we investigate the linear and the nonlinear Goursat problems. The solution of the Goursat problem is presented by means of the homotopy perturbation method (HPM). The application of HPM to this problem shows the rapid convergence of the sequence constructed by this method to the exact

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ABSTI~ACT : This paper establishes a clear procedure for the variational problem solution via the Walsh functions technique. First the Walsh functions are introduced and their properties briefly summarized. Then an operational matrix is derived for integration use. The variational problems are solve