Fractional-order Legendre-collocation method for solving fractional initial value problems

Qasem M. Al-Mdallal and Ahmed S. Abu Omer

Applied Mathematics and Computation, 2018, vol. 321, issue C, 74-84

Abstract: In this paper, we present a numerical algorithm for solving second-order fractional initial value problems. This numerical algorithm is based on a fractional Legendre-collocation spectral method. The governing fractional differential equation is converted into a nonlinear system of algebraic equations. The error analysis of the proposed numerical algorithm is presented. Comparisons with other numerical methods shows that the proposed algorithm is more accurate and simpler to implement. Several examples are discussed to illustrate the efficiency and accuracy of the present scheme.

Keywords: Caputo derivative; Spectral methods; Fractional Legendre functions; Collocation method (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (13)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:321:y:2018:i:c:p:74-84

DOI: 10.1016/j.amc.2017.10.012

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