آمار
| تعداد نشریات | 26 |
| تعداد شمارهها | 447 |
| تعداد مقالات | 4,557 |
| تعداد مشاهده مقاله | 5,380,003 |
| تعداد دریافت فایل اصل مقاله | 3,580,074 |
A numerical method for solving delay-fractional differential and integro-differential equations | ||
| Journal of Mahani Mathematical Research | ||
| دوره 4، شماره 1، مرداد 2015، صفحه 11-24 اصل مقاله (270.39 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22103/jmmrc.2017.1643 | ||
| نویسندگان | ||
| Ataollah Askari hemmat* 1؛ Ensiyeh Sokhanvar2 | ||
| 1Department of Applied Mathematics, Faculty of Mathematics and Computer, Shahid Bahonal University of Kerman, Kerman, Iran. | ||
| 2Department of Mathematics, Faculty of Science and New Technologies, Graduate University of Advanced Technology, Kerman, Iran | ||
| چکیده | ||
| This article develops an efficient direct method for solving numerically multi delay-fractional differential and integro-differential equations. A Galerkin method based on Legendre polynomials is implemented for solving linear and nonlinear this type of equations. The main characteristic behind this approach is that it reduces such problems to those of solving a system of algebraic equations. A convergence analysis and an error estimation is given. Numerical results with comparisons are given to confi rm the reliability of the proposed method. | ||
| کلیدواژهها | ||
| Legendre polynomials؛ Delay-fractional differential and integro-differential equations؛ Galerkin method | ||
|
آمار تعداد مشاهده مقاله: 81 تعداد دریافت فایل اصل مقاله: 49 |
||