Semi-discretized numerical solution for time fractional convection-diffusion equation by RBF-FD

被引：21
|
作者：
Liu, Juan [1 ,2 ]
Zhang, Juan [3 ]
Zhang, Xindong [3 ]
机构：
[1] Guizhou Univ Finance & Econ, Coll Big Date Stat, Guiyang 550025, Peoples R China
[2] Guizhou Key Lab Big Data Stat Anal, Guiyang 550025, Peoples R China
[3] Xinjiang Normal Univ, Sch Math Sci, Urumqi 830017, Xinjiang, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2022年 / 128卷
基金：
中国国家自然科学基金;
关键词：
Time fractional convection-diffusion equation; Radial basis function; Finite difference; Caputo derivative; Multiquadric; DATA APPROXIMATION SCHEME; FINITE-ELEMENT-METHOD; DIFFERENTIAL-EQUATIONS; SPACE; MULTIQUADRICS;
D O I：
10.1016/j.aml.2021.107880
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a numerical method based on radial basis functions finite difference (RBF-FD) has been developed for solving the time fractional convection-diffusion equation. We first approximate the time fractional derivative by FD and obtain the semi-discretized scheme. The unconditional stability and convergence of the semi-discretized scheme are given. After that, we use the multiquadric RBF to approximate the spatial derivatives in the numerical experiments. The aim of this paper is to show that the RBF-FD method is better than the classical FD method for solving our mentioned equation. Finally, two numerical examples are proposed respectively to verify the correctness of our theoretical analysis and to demonstrate the superiority of the RBF-FD method. (C) 2021 Elsevier Ltd. All rights reserved.
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页数：9
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