Identification of an Inverse Source Problem in a Fractional Partial Differential Equation Based on Sinc-Galerkin Method and TSVD Regularization

• Published in: Journal of computational methods in applied mathematics Vol. 24; no. 1; pp. 215 - 237
• Main Authors: Safaie, Ali, Salehi Shayegan, Amir Hossein, Shahriari, Mohammad
• Format: Journal Article
• Language: English
• Published: Minsk De Gruyter 01.01.2024; Walter de Gruyter GmbH
• Subjects: 35R30; 65F22; Approximation; Error analysis; Fractional Partial Differential Equation; Galerkin method; Inverse Source Problem; Mathematics; Partial differential equations; Quasi-solution; Regularization; Sinc-Galerkin Method

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,...