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
Presentation
کلیدواژه‌ها
Ill-posed problem, Caputo's fractional derivative, Mollification, Marching scheme.
سال
2017
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 regul arized problem. The stability of numerical solution are investigated. Finally, two numerical examples are presented to illustrate the validity an d effectiveness of the proposed method.