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Solution of Generalized Abel’s Integral Equations by Homotopy Perturbation Method with Adaptation in Laplace Transformation |
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PP: 29-35 |
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doi:10.18576/sjm/090202
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Author(s) |
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Srinivasarao Thota,
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Abstract |
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In this paper we present a new and simple algorithm to solve the Abel’s second kind integral equation using the concept of homotopy perturbation method with a modern adaptation in Laplace transformation. By this method, analytical solution and good approximate solutions can be obtained with only a few iterations. Several numerical examples are presented to illustrate the method, and the results show the proposed method is very effective. |
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