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Publication Type : Journal Article
Publisher : Journal of Mathematics
Source : Sohag Journal of Mathematics, 9(2), 29--35 (2022)
Url : https://www.naturalspublishing.com/files/published/c31uxf359z78pl.pdf
Keywords : Generalized Abel’s integral equations, Homotopy perturbation method, Laplace transformations, Analytical and approximate solutions.
Campus : Amaravati
School : School of Physical Sciences
Department : Chemistry
Year : 2022
Abstract : 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.
Cite this Research Publication : S. Thota: Solution of Generalized Abel's Integral Equations by Homotopy Perturbation Method with Adaptation in Laplace Transformation, Sohag Journal of Mathematics, 9(2), 29--35 (2022). doi: 10.18576/sjm/090202