Radial basis functions method for solving three-dimensional linear Fredholm integral equations on the cubic domains | ||
| Iranian Journal of Numerical Analysis and Optimization | ||
| مقاله 2، دوره 7، شماره 2 - شماره پیاپی 12، 2017، صفحه 15-38 اصل مقاله (634.04 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22067/ijnao.v7i2.52085 | ||
| نویسندگان | ||
| M. Esmaeilbeigi* ؛ F. Mirzaee؛ D. Moazami | ||
| Department of Mathematics, Faculty of Mathematical Sciences and Statistics, Malayer University, Malayer, Iran. | ||
| چکیده | ||
| The main purpose of this article is to describe a numerical scheme for solving three-dimensional linear Fredholm integral equations of the second kind on the cubic domains. The method is based on interpolation by radial basis functions (RBFs) based on Gauss-Legendre nodes and weights. Error analysis is presented for this method. Finally, several examples are given and numerical examples are presented to demonstrate the validity and applicability of the method. | ||
| کلیدواژهها | ||
| Three-dimensional integral equation؛ Radial basis functions؛ Collocation method؛ Cubic domains | ||
| مراجع | ||
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