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An algorithmic approach for solution of nonlinear Fredholm-Hammerstein integral equations | ||
| Iranian Journal of Science | ||
| مقاله 8، دوره 39، شماره 3.1، بهمن 2015، صفحه 399-406 اصل مقاله (324.41 K) | ||
| نوع مقاله: Regular Paper | ||
| شناسه دیجیتال (DOI): 10.22099/ijsts.2015.3263 | ||
| نویسندگان | ||
| H. Saberi Najafi؛ S. A. Edalatpanah* ؛ H. Aminikhah | ||
| Department of Mathematics, Faculty of Sciences, University of Guilan, University Campus 2, Rasht, Iran | ||
| چکیده | ||
| In this paper, we present a new computational technique for solving nonlinear Fredholm integral equations of the second kind. This proposed method is based on Galerkin method and is computationally very attractive. Moreover, for reducing the operations in comparing similar works, we design our algorithm based on transformations of orthogonal polynomials in approximation coefficients calculating scheme. Finally, for showing the reliability and efficiency of this method, we use some numerical examples. | ||
| کلیدواژهها | ||
| Nonlinear Fredholm integral equation؛ Hammerstein equations؛ Galerkin method؛ Legendre polynomials؛ Trial space؛ Taylor expansion | ||
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