Numerical schemes for a class of tempered fractional integro-differential equations

被引：40

作者：

Sultana, Farheen ^{[1
]}

Singh, Deeksha ^{[1
]}

Pandey, Rajesh K. ^{[1
]}

Zeidan, Dia ^{[2
]}

机构：

[1] Indian Inst Technol BHU Varanasi, Dept Math Sci, Varanasi 221005, Uttar Pradesh, India

[2] German Jordanian Univ, Sch Basic Sci & Humanities, Amman, Jordan

来源：

APPLIED NUMERICAL MATHEMATICS | 2020年 / 157卷

关键词：

Linear scheme; Quadratic scheme; Quadratic-Linear scheme; Tempered fractional integro-differential equation; Finite difference method; COLLOCATION METHODS; ELEMENT TECHNIQUE; DIFFUSION; CALCULUS; CONVERGENCE;

D O I：

10.1016/j.apnum.2020.05.026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a class of tempered fractional integro-differential equation of the Caputo type, a comparative study of three numerical schemes is presented in this paper. The schemes discussed are Linear, Quadratic and Quadratic-Linear schemes. Four numerical examples are considered to discuss error estimate and convergence order of the numerical schemes for different values of step-size h and the parameter lambda. Numerical results are presented through tables and figures which validate the analytical solution of the test examples. Further, the comparative performances of the presented numerical schemes are discussed. (C) 2020 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：110 / 134

页数：25

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