Stability analysis of spline collocation methods for fractional differential equations

Angelamaria Cardone and Dajana Conte

Mathematics and Computers in Simulation (MATCOM), 2020, vol. 178, issue C, 501-514

Abstract: This paper deals with spline collocation methods for fractional differential equations, introduced by Pedas and Tamme (2014). Some practical formulas are derived, for the computation of fractional integrals involved in the method, useful for implementation. Linear stability analysis is carried out and stability regions of several methods are provided. Numerical experiments on linear and nonlinear test problems confirm theoretical expectations.

Keywords: Fractional differential equations; Collocation; Fractional integrals; Stability (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:178:y:2020:i:c:p:501-514

DOI: 10.1016/j.matcom.2020.07.004

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