离散化
数学
趋同(经济学)
块(置换群论)
理论(学习稳定性)
应用数学
有限差分
有限差分法
有限差分格式
数学分析
几何学
计算机科学
机器学习
经济
经济增长
标识
DOI:10.1016/j.camwa.2023.06.014
摘要
In this paper, the block-centered finite difference method with two kinds of tempered L1 discretizations is introduced for a tempered subdiffusion model with time-dependent coefficients. The present numerical schemes are constructed by using the implicit tempered L1 discretization and the implicit-explicit tempered L1 discretization to approximate the tempered Caputo fractional derivative in the temporal direction and using the block-centered finite difference method to approximate derivatives in the spatial direction. The stability and convergence of the present difference schemes on non-uniform grids for one- and two-dimensional tempered subdiffusion problems are proved. The theoretical analysis shows that the present numerical schemes give the optimal convergence rates for both temporal and spatial variables. Extensive numerical examples are given to verify the theoretical results.
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