Numerical solutions of nonlinear fractional differential equations by alternative Legendre polynomials

Zhijun Meng, Mingxu Yi, Jun Huang and Lei Song

Applied Mathematics and Computation, 2018, vol. 336, issue C, 454-464

Abstract: In this paper, numerical techniques are presented for solving initial value problems of nonlinear fractional differential equations. The method is implemented by applying alternative Legendre polynomials. The operational matrix of fractional integration and the product for the alternative Legendre polynomials are derived in order to transform the nonlinear equations into a system of algebraic equations. The study of the error analysis of the obtained method is also considered. Furthermore, numerical examples demonstrate that this method is applicable and accurate.

Keywords: Nonlinear fractional differential equations; Alternative Legendre polynomials; Operational matrix; Error analysis; Numerical solutions (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:336:y:2018:i:c:p:454-464

DOI: 10.1016/j.amc.2018.04.072

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