In this paper, we consider an inverse source problem of a fractional order diffusion-wave equation (FDWE), in which the space-dependent source term is unknown. In order to obtain the numerical solution of the discussed problem and to find the unknown source function, a Chebyshev collocation method is proposed. Since this inverse problem is an ill-posed problem, a regularization scheme based on the mollification technique is used to find a stable problem. Subsequently, the stable problem is solved numerically by applying the collocation method. Furthermore, the convergence analysis is considered, and finally, the effectiveness of the studied algorithm is demonstrated by some test examples.
Ebrahimi, M. , Matinfar, M. and Babaei, A. (2026). Numerical solution for an inverse source problem of a fractional order diffusion-wave equation. Computational Methods for Differential Equations, 14(3), 996-1009. doi: 10.22034/cmde.2025.61173.2630
MLA
Ebrahimi, M. , , Matinfar, M. , and Babaei, A. . "Numerical solution for an inverse source problem of a fractional order diffusion-wave equation", Computational Methods for Differential Equations, 14, 3, 2026, 996-1009. doi: 10.22034/cmde.2025.61173.2630
HARVARD
Ebrahimi, M., Matinfar, M., Babaei, A. (2026). 'Numerical solution for an inverse source problem of a fractional order diffusion-wave equation', Computational Methods for Differential Equations, 14(3), pp. 996-1009. doi: 10.22034/cmde.2025.61173.2630
CHICAGO
M. Ebrahimi , M. Matinfar and A. Babaei, "Numerical solution for an inverse source problem of a fractional order diffusion-wave equation," Computational Methods for Differential Equations, 14 3 (2026): 996-1009, doi: 10.22034/cmde.2025.61173.2630
VANCOUVER
Ebrahimi, M., Matinfar, M., Babaei, A. Numerical solution for an inverse source problem of a fractional order diffusion-wave equation. Computational Methods for Differential Equations, 2026; 14(3): 996-1009. doi: 10.22034/cmde.2025.61173.2630
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