BLOCK-BY-BLOCK TECHNIQUE FOR A CLASS OF NONLINEAR SYSTEMS OF FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS

被引：3

作者：

Afiatdoust, F. ^{[1
]}

Heydari, M. H. ^{[2
]}

Hosseini, M. M. ^{[1
]}

机构：

[1] Shahid Bahonar Univ Kerman, Fac Math & Comp, Kerman, Iran

[2] Shiraz Univ Technol, Dept Math, Modarres Blvd, Shiraz 7155713876, Iran

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2024年 / 14卷 / 01期

关键词：

System of fractional integro-differential equations; Gaussian-Lobatto quadrature formula; Block-by-block method; HOMOTOPY PERTURBATION METHOD; VOLTERRA INTEGRAL-EQUATIONS; DIFFERENTIAL-EQUATIONS; NUMERICAL-SOLUTIONS; CONVERGENCE ANALYSIS; ROMBERG QUADRATURE; ITERATION METHOD; WAVELETS;

D O I：

10.11948/20230157

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work expresses an approximate approach for a class of nonlinear systems of fractional integro-differential equations. The proposed scheme uses the five-point Gauss-Lobatto quadrature method and the block-by-block technique. This procedure obtains automatically several approximate values of the problem at the same time. The analysis of convergence of the adopted approach is investigated. Moreover, it is proved that the convergence order of the method is �(ℎ8). Some numerical examples are considered to reveal the effectiveness of the method.

引用

页码：214 / 234

页数：21

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