Numerical solution of the diffusion problem of distributed order based on the Sinc-collocation method

被引：1

作者：

Taherkhani, Sh ^{[1
]}

Khalilsaraye, I. Najafi ^{[1
]}

Ghayebi, B. ^{[1
]}

机构：

[1] Islamic Azad Univ, Dept Math, Qazvin Branch, Qazvin, Iran

来源：

MATHEMATICAL SCIENCES | 2023年 / 17卷 / 02期

关键词：

Fractional differential equation; Distributed order differential equation; Caputo derivative; Sinc basis; Collocation method; DIFFERENTIAL-EQUATIONS; FINITE-DIFFERENCE; SCHEME;

D O I：

10.1007/s40096-021-00447-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A numerical method for the diffusion problem with the fractional derivative of distributed order arising in modeling real life phenomena is investigated. The approximation is based on the Sinc-collocation method. We proposed the Sinc-collocation method in both spatial and temporal discretizations of the problem. The fractional derivatives in this article are of the Caputo type. Also, we proved the convergence of the introduced method and an error estimate for it. We have shown the efficiency of the introduced method with the help of several examples. The obtained numerical results confirm the presented convergence analysis.

引用

页码：133 / 144

页数：12

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