An efficient approach based on Legendre-Gauss-Lobatto quadrature and discrete shifted Hahn polynomials for solving Caputo-Fabrizio fractional Volterra partial integro-differential equations

被引：14

作者：

Dehestani, H. ^{[1
]}

Ordokhani, Y. ^{[1
]}

机构：

[1] Alzahra Univ, Fac Math Sci, Dept Math, Tehran, Iran

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2022年 / 403卷

关键词：

Discrete shifted Hahn polynomials; Caputo-Fabrizio derivative; Legendre-Gauss-Lobatto quadrature method; Volterra partial integro-differential equations; SCHEME; SYSTEM;

D O I：

10.1016/j.cam.2021.113851

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the current study, we provide a novel technique based on discrete shifted Hahn polynomials and Legendre-Gauss-Lobatto quadrature method for solving Caputo-Fabrizio fractional Volterra partial integro-differential equations (CFF-VPIDEs). The process of numerical algorithm contains the modified operational matrices (MOMs) and complement vectors (CVs), which directly influence the accuracy of the approach. Also, we expand the Volterra integral part of the equation with the help of the Legendre-Gauss- Lobatto quadrature method. The composition of the novel operational matrices with the Legendre-Gauss-Lobatto quadrature rule creates high precision and efficient method. Further, we present the error analysis of our scheme. Finally, to confirm the accuracy of theoretical results, we examine several examples. (c) 2021 Elsevier B.V. All rights reserved.

引用

页数：14