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Cubic B-splines collocation method for solving a partial integro-differential equation with a weakly singular kernel | ||
| Computational Methods for Differential Equations | ||
| مقاله 12، دوره 7، شماره 3، مهر 2019، صفحه 497-510 اصل مقاله (652.99 K) | ||
| نوع مقاله: Research Paper | ||
| نویسندگان | ||
Mohammad Gholamian؛ Jafar Saberi-Nadjafi  ؛ Ali Reza Soheili
| ||
| Department of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, International Campus, Mashhad, Iran | ||
| چکیده | ||
| In this paper, we apply a numerical scheme for the solution of a second order partial integro-differential equation with a weakly singular kernel. In the time direction, the backward Euler method time-stepping is used to approximate the differential term and the cubic B-splines is applied to the space discretization. Detailed discrete schemes, the convergence and the stability of the method is demonstrated. Next, the computational efficiency and accuracy of the method are examined by the numerical results. | ||
| کلیدواژهها | ||
| Cubic B-splines؛ Partial integro-differential equation؛ Backward Euler method | ||
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آمار تعداد مشاهده مقاله: 366 تعداد دریافت فایل اصل مقاله: 376 |
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