期刊论文详细信息
Advances in Difference Equations | |
A fractional-order Legendre collocation method for solving the Bagley-Torvik equations | |
Syed Tauseef Mohyud-Din1  Fakhrodin Mohammadi2  | |
[1]Department of Mathematics, HITEC University, Taxila Cantt, Pakistan | |
[2]Department of Mathematics, University of Hormozgan, Bandarabbas, Iran | |
关键词: Bagley-Torvik equations; Riemann-Liouville fractional integration; fractional-order Legendre polynomials; operational matrix; collocation method; 26A33; 34A08; 65N35; | |
DOI : 10.1186/s13662-016-0989-x | |
学科分类:数学(综合) | |
来源: SpringerOpen | |
【 摘 要 】
In this article, a numerical method based on the fractional-order shifted Legendre polynomials (FSLPs) and their operational matrix of fractional integration is introduced for solving the fractional Bagley-Torvik equations. The main advantage of the presented method is that it can reduce a solution of the initial and boundary value problems for the fractional Bagley-Torvik differential equations to a system of algebraic equations. In order to confirm the efficiency and superiority of the presented method, some numerical examples are provided and a comparison is presented between the obtained results and those results achieved from other existing methods in the literature.【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO201904029338177ZK.pdf | 1522KB | download |