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Title
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Numerical solution of a time-fractional inverse source problem
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Type
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Presentation
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Keywords
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Ill-posed problem, Caputo's fractional derivative, Mollification, Marching scheme.
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Abstract
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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.
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Researchers
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ُSeddighe Banihashemi (Second Researcher), Afshin Babaei (First Researcher)
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