2024 : 11 : 14

Mohammad Shahriari

Academic rank: Associate Professor
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Education: PhD.
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Faculty: 1
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Research

Title
Identification of an Inverse Source Problem in a Fractional Partial Differential Equation Based on Sinc-Galerkin Method and TSVD Regularization
Type
JournalPaper
Keywords
Sinc-Galerkin Method, Quasi-solution, Inverse Source Problem, Fractional Partial Differential Equation
Year
2024
Journal Computational Methods in Applied Mathematics
DOI
Researchers Ali Safaei ، Amir Hossein Salehi Shayegan ، Mohammad Shahriari

Abstract

In this paper, using Sinc-Galerkin method and TSVD regularization, an approximation of the quasi-solution to an inverse source problem is obtained. To do so, the solution of direct problem is obtained by the Sinc-Galerkin method, and this solution is applied in a least squares cost functional. Then, to obtain an approximation of the quasi-solution, we minimize the cost functional by TSVD regularization. Error analysis and convergence of the proposed method are investigated. In addition, at the end, four numerical examples are given in details to show the efficiency and accuracy of the proposed method.