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
收藏
页码：543 / 564
页数：22
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