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Delta basis functions and their applications for solving two-dimensional linear fredholm integral equations | ||
| Journal of Hyperstructures | ||
| دوره 4، شماره 1، شهریور 2015، صفحه 69-83 اصل مقاله (108.53 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2015.2599 | ||
| نویسندگان | ||
| F. Mirzaee* 1؛ Seyede Fatemeh Hoseini2؛ Khadijeh Mahdavi Moghadam2 | ||
| 1Department of Mathematics, Faculty of Science, Malayer University, Malayer, 65719- 95863, Iran. | ||
| 2Faculty of Mathematical Sciences and Statistics, Malayer University, P. O. Box 65719- 95863, Malayer, Iran | ||
| چکیده | ||
| In this paper an expansion method, based on twodimensional delta functions (2D-DFs), is developed to find numerical solutions of two-dimensional linear Fredholm integral equations. The main characteristic behind this method is that this method reduce such problems to a system of algebraic equations. Since this approach does not need integration, all calculations can be easily implemented. Finally, we estimate the error of the method, and present two numerical examples to demonstrate the accuracy of the method. | ||
| کلیدواژهها | ||
| Two-dimensional delta functions؛ Operational matrix؛ Linear Fredholm integral equation | ||
| مراجع | ||
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