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.
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页数：10
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