Galerkin spectral method for a multi-term time-fractional diffusion equation and an application to inverse source problem

In this paper, we employ the Galerkin spectral method to handle a multi-term time-fractional diffusion equation, and investigate the numerical stability and convergence of the proposed method. In addition, we find an interesting application of the Galerkin spectral method to solving an inverse sourc...

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Bibliographic Details

Published in:	Networks and Heterogeneous Media
Main Authors:	L.L. Sun, M.L. Chang
Format:	Article
Language:	English
Published:	AIMS Press 2022-12-01
Subjects:	multi-term time-fractional diffusion equation ill-posed problem inverse source problem galerkin spectral method finite difference method
Online Access:	https://www.aimspress.com/article/doi/10.3934/nhm.2023008