چکیده مقاله
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 are investigated Finally, two numerical examples are presented to illustrate the validity and effectiveness of the proposed method
کلیدواژهها
Ill-posed problem Mollification Marching scheme Ill posed problem Caputo s fractional derivative
نویسندگان
Afshin Babaei
Department of Mathematics, University of Mazandaran, P O Box: ۴۷۴۱۶ ۹۵۴۴۷, Babolsar, Iran
Seddighe Banihashemi
Department of Mathematics, University of Mazandaran, P O Box: ۴۷۴۱۶ ۹۵۴۴۷,Babolsar, Iran
شیوه ارجاع
Babaei, Afshin and Banihashemi, Seddighe,1396,Numerical solution of a time-fractional inverse source problem,2rd International Conference on Soft Computing,Rudsar
ارائهشده در
مجموعه مقالات دومین کنفرانس ملی محاسبات نرم1 آذر 1396 · رودسر