TY - JOUR T1 - Preconditioned CG Methods for a Variable-Coefficient Nonlocal Diffusion Model AU - Ran , Yu-Hong AU - Yan , Min JO - East Asian Journal on Applied Mathematics VL - 2 SP - 421 EP - 434 PY - 2022 DA - 2022/02 SN - 12 DO - http://doi.org/10.4208/eajam.290921.230122 UR - https://global-sci.org/intro/article_detail/eajam/20262.html KW - Nonlocal diffusion model, fast collocation method, Toeplitz matrix, CG method, preconditioner. AB -

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.