Approximate solution of multi-term fractional differential equations via a block-by-block method

被引：1

作者：

Katani, Roghayeh ^{[1
]}

Shahmorad, Sedaghat ^{[2
]}

Conte, Dajana ^{[3
]}

机构：

[1] Univ Yasuj, Dept Sci, Yasuj, Iran

[2] Univ Tabriz, Dept Appl Math, Tabriz, East Azarbaijan, Iran

[3] Univ Salerno, Dept Math, Salerno, Italy

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2025年 / 453卷

关键词：

Multi-term fractional differential equations; Weakly singular integral equations; Block-by-block method; Bagley-Torvik equation; VOLTERRA INTEGRAL-EQUATIONS; COLLOCATION METHODS; ROMBERG QUADRATURE; NUMERICAL-SOLUTION; SYSTEM;

D O I：

10.1016/j.cam.2024.116135

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we introduce a block-by-block method for the numerical solution of multi-term fractional differential equations (MFDEs). The main idea is to convert a MFDE to a Volterra integral equation of weakly singular type, to which a well known block-by-block method is applied. We also provide the error analysis and convergence of the method. Finally, numerical examples involving Bagley-Torvik and relaxation-oscillation equations are given to confirm applications and the theoretical results.

引用

页数：10

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