پیوندهای مفید
آمار
| تعداد نشریات | 21 |
| تعداد شماره‌ها | 610 |
| تعداد مقالات | 9,029 |
| تعداد مشاهده مقاله | 67,082,978 |
| تعداد دریافت فایل اصل مقاله | 7,656,411 |
A finite difference method for the smooth solution of linear Volterra integral equations | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 1، دوره 4، شماره 2، دی 2013، صفحه 1-10 اصل مقاله (416.05 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2013.19 | ||
| نویسندگان | ||
| M. Jalalvand1؛ B. Jazbi2؛ M. R. Mokhtarzadeh* 3 | ||
| 1of Mathematics, Faculty of Mathematical Sciences and Computer , Shahid Chamran University, Ahvaz, Iran. | ||
| 2Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran. | ||
| 3School of Mathematics, Institute for Research in Fundamental Sciences, P. O. Box: 19395-5746, Tehran, Iran. | ||
| تاریخ دریافت: 20 مرداد 1391، تاریخ بازنگری: 16 شهریور 1391، تاریخ پذیرش: 04 مهر 1391 | ||
| چکیده | ||
| The present paper proposes a fast numerical method for the linear Volterra integral equations with regular and weakly singular kernels having smooth solutions. This method is based on the approximation of the kernel, to simplify the integral operator and then discretization of the simplified operator using a forward difference formula. To analyze and verify the accuracy of the method, we examine sample and benchmark problems with known exact solutions. | ||
| کلیدواژه‌ها | ||
| Integral equation؛ Linear Integral Equation؛ Weakly Singular Volterra | ||
|
آمار تعداد مشاهده مقاله: 50,172 تعداد دریافت فایل اصل مقاله: 5,759 |
||