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Numerical solution of a time-fractional inverse source problem | ||
| Journal of Hyperstructures | ||
| دوره 7، Spec. 2nd CSC2017، شهریور 2018، صفحه 14-26 اصل مقاله (733.05 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2018.2686 | ||
| نویسندگان | ||
| Afshin Babaei* 1؛ Seddighe Banihashemi2 | ||
| 1UniverDepartment of Mathematics, University of Mazandaran, P.O.Box 47416-95447, Babolsar, Iransity of Mazandaran | ||
| 2Department of Mathematics, University of Mazandaran, P.O.Box 47416-95447, Babolsar, Iran | ||
| چکیده | ||
| In this paper, an inverse problem of determining an unknown source term in a time-fractional diffusion equation is investigated. This inverse problem is severely ill-posed. For this reason, a mollification technique is used to obtain a regularized problem. Afterwards, a finite difference marching scheme is introduced to solve this regularized problem. The stability of numerical solution is investigated. Finally, two numerical examples are presented to illustrate the validity and effectiveness of the proposed method. | ||
| کلیدواژه‌ها | ||
| Ill-posed problem؛ Caputo’s fractional derivative؛ Mollification؛ Marching scheme | ||
| مراجع | ||
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