Numerical solution for an inverse source problem of a fractional order diffusion-wave equation

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.

کلیدواژه ها:

Inverse problem ، Space-dependent source function ، Mollification technique ، Chebyshev collocation method ، Convergence analysis