Year: 2022
Author: Yu-Hong Ran, Min Yan
East Asian Journal on Applied Mathematics, Vol. 12 (2022), Iss. 2 : pp. 421–434
Abstract
A variable-coefficient nonlocal diffusion model is discretized by an improved fast collocation scheme. The resulting linear system has a symmetric positive definite Toeplitz-like coefficient matrix. The preconditioned CG methods with Toeplitz and circulant preconditioners are used for solving the discretized linear system. Numerical experiments demonstrate the effectiveness of the preconditioned CG methods.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.290921.230122
East Asian Journal on Applied Mathematics, Vol. 12 (2022), Iss. 2 : pp. 421–434
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Nonlocal diffusion model fast collocation method Toeplitz matrix CG method preconditioner.