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 - <p style="text-align: justify;">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.</p>