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A numerical approach based on the reproducing kernel hilbert method on non-uniform girds for solving system of fredholm integro-differential equations | ||
Journal of Hyperstructures | ||
دوره 8، شماره 1، شهریور 2019، صفحه 33-47 اصل مقاله (655.74 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22098/jhs.2019.2611 | ||
نویسندگان | ||
Khosro Sayevand* 1؛ Majid Abedini2 | ||
1Faculty of Mathematical Sciences, University of Malayer, P. O. Box 65718-18164, Malayer, Iran | ||
2Department of Mathematics, Payme Noor University, P. O. Box 19395-4697 Tehran,IRAN. | ||
چکیده | ||
In this paper, we develop a numerical approach based on the reproducing kernel Hilbert (RKHS) method on non-uniform girds for solving the linear Fredholm integro-differential equations with variable coefficients. Furthermore, convergence of the proposed method is presented providing the theoretical basis of this method. Finally, we test our method on one example to demonstrate the efficiency and applicability of the proposed method. | ||
کلیدواژهها | ||
Reproducing kernel Hilbert space method؛ Fredholm integro-differential equations؛ variable coefficients | ||
مراجع | ||
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