1403/02/06
افشین بابائی

افشین بابائی

مرتبه علمی: دانشیار
ارکید: https://orcid.org/0000-0002-6980-9786
تحصیلات: دکترای تخصصی
اسکاپوس: https://www.scopus.com/authid/detail.uri?authorId=57188696707
دانشکده: دانشکده علوم ریاضی
نشانی:
تلفن: 011-35302418

مشخصات پژوهش

عنوان
Numerical solution of a time-fractional inverse source problem
نوع پژوهش
JournalPaper
کلیدواژه‌ها
Ill-posed problem, Caputo’s fractional derivative, Mollification, Marching scheme
سال
2018
مجله Journal of hyperstructures
شناسه DOI
پژوهشگران Afshin Babaei ، ُSeddighe Banihashemi

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.