A polynomial collocation method for a class of singular fractional differential equations

被引：0

作者：

Khan, Ghulam Abbas ^{[1
]}

Latt, Kaido ^{[2
]}

Rebelo, Magda ^{[3
,4
]}

机构：

[1] NOVA Sch Sci & Technol NOVA FCT, Ctr Math & Applicat NOVA Math, P-2829516 Caparica, Portugal

[2] Univ Tartu, Inst Math & Stat, Narva Mnt 18, EE-51009 Tartu, Estonia

[3] NOVA Sch Sci & Technol NOVA FCT, Ctr Math & Applicat NOVA Math, P-2829516 Caparica, Portugal

[4] NOVA Sch Sci & Technol NOVA FCT, Dept Math, P-2829516 Caparica, Portugal

来源：

APPLIED NUMERICAL MATHEMATICS | 2025年 / 207卷

关键词：

Fractional differential equations; Cordial Volterra operators; Polynomial collocation; VOLTERRA INTEGRAL-EQUATIONS; SMOOTH SOLUTION;

D O I：

10.1016/j.apnum.2024.08.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we consider a class of singular fractional differential equations (SFDEs). Using a suitable variable transformation we rewrite the SFDE as a cordial Volterra integral equation and propose a polynomial collocation method to find an approximate solution of the original problem. We provide the error analysis of the numerical method and we illustrate its feasibility and accuracy through some numerical examples.

引用

页码：45 / 57

页数：13

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