Non-polynomial spline approach in two-dimensional fractional sub-diffusion problems

被引：11
作者：
Li, Xuhao [1 ]
Wong, Patricia J. Y. [1 ]
机构：
[1] Nanyang Technol Univ, Sch Elect & Elect Engn, 50 Nanyang Ave, Singapore 639798, Singapore
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2019年 / 357卷
关键词：
Non-polynomial spline; Two-dimensional; Sub-diffusion equation; Fractional differential equation; Numerical solution; FINITE-DIFFERENCE SCHEME; WAVE; EQUATIONS;
D O I：
10.1016/j.amc.2019.03.045
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we propose a new numerical scheme for two-dimensional fractional subdiffusion problems using non-polynomial spline. The solvability, stability and convergence of the proposed method are established using the well known discrete energy methodology. It is shown that the spatial convergence order is at least 4.5 which improves the best result achieved to date. We also carry out simulation to demonstrate the accuracy and efficiency of the proposed scheme and to compare with other methods. (c) 2019 Elsevier Inc. All rights reserved.
引用
收藏
页码：222 / 242
页数：21
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