Spectral Fractional-Order Method for Solving Nonlinear Weakly Singular Volterra Integral Equations

被引：0

作者：

Razaghzadeh, N. ^{[1
]}

Moghad, Mohseni M. ^{[2
,3
]}

Saeedi, H. ^{[2
,3
]}

机构：

[1] Grad Univ Adv Technol, Fac Sci & New Technol, Dept Math, Kerman, Iran

[2] Shahid Bahonar Univ Kerman, Mahani Math Res Ctr, Kerman, Iran

[3] Shahid Bahonar Univ Kerman, Fac Math, Dept Appl Math, Kerman, Iran

来源：

MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES | 2020年 / 14卷 / 03期

关键词：

Operational matrix of fractional integration; weakly singular Volterra equations; 1ST KIND; INVERSION; CALCULUS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we present a spectral method based on fractional-order Jacobi functions and their new constructed operational matrix of fractional integration for solving nonlinear weakly singular Volterra integral equations which include Abel equations. A proposed error analysis investigates the convergence of mentioned method. Some numerical examples are presented to confirm the efficiency and accuracy of the method.

引用

页码：543 / 564

页数：22

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