Shifted Jacobi-Gauss-collocation with convergence analysis for fractional integro-differential equations

被引：48
|
作者：
Doha, E. H. [1 ]
Abdelkawy, M. A. [2 ,3 ]
Amin, A. Z. M. [3 ]
Lopes, Antonio M. [4 ]
机构：
[1] Cairo Univ, Fac Sci, Dept Math, Giza, Egypt
[2] Al Imam Mohammad Ibn Saud Islamic Univ IMSIU, Dept Math & Stat, Coll Sci, Riyadh, Saudi Arabia
[3] Beni Suef Univ, Fac Sci, Dept Math, Bani Suwayf, Egypt
[4] Univ Porto, Fac Engn, UISPA LAETA INEGI, Porto, Portugal
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2019年 / 72卷
关键词：
Fractional integro-differential equation; Spectral collocation method; Jacobi-Gauss quadrature; Riemann-Liouville derivative; NUMERICAL-SOLUTION; DIFFUSION EQUATION; ORDER; TRANSPORT; MATRIX;
D O I：
10.1016/j.cnsns.2019.01.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new shifted Jacobi-Gauss-collocation (SJ-G-C) algorithm is presented for solving numerically several classes of fractional integro-differential equations (FI-DEs), namely Volterra, Fredholm and systems of Volterra FI-DEs, subject to initial and nonlocal boundary conditions. The new SJ-G-C method is also extended for calculating the solution of mixed Volterra-Fredholm FI-DEs. The shifted Jacobi-Gauss points are adopted for collocation nodes and the FI-DEs are reduced to systems of algebraic equations. Error analysis is performed and several numerical examples are given for illustrating the advantages of the new algorithm. (C) 2019 Elsevier B.V. All rights reserved.
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页码：342 / 359
页数：18
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