An efficient difference scheme for the non-Fickian time-fractional diffusion equations with variable coefficient

被引：2

作者：

Feng, Zhouping ^{[1
]}

Ran, Maohua ^{[1
]}

Liu, Yang ^{[1
]}

机构：

[1] Sichuan Normal Univ, Sch Math Sci, Chengdu 610066, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2021年 / 121卷

基金：

中国国家自然科学基金;

关键词：

Non-Fickian diffusion equation; Fractional derivative; Stability; Convergence;

D O I：

10.1016/j.aml.2021.107489

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we develop an efficient difference scheme for the non-Fickian time-fractional diffusion equations with variable coefficient. This model may be considered as a generalization of the Kolmogorov-Petrovskii-Piskunov type equation, which is widely used to describe some important phenomena in the fields of chemistry, biology and viscoelastic materials. The stability and convergence of the difference scheme in the maximum norm are proved by the discrete energy method under mild conditions. A numerical example is carried out to verify our theoretical analysis results. (C) 2021 Elsevier Ltd. All rights reserved.

引用

页数：7