The extended generalized Störmer–Cowell methods for second-order delay boundary value problems

Cui Li and Chengjian Zhang

Applied Mathematics and Computation, 2017, vol. 294, issue C, 87-95

Abstract: This paper deals with the numerical solutions of second-order delay boundary value problems (DBVPs). The generalized Störmer–Cowell methods (GSCMs) for second-order initial value problems, proposed by Aceto et al. (2012), are extended to solve the second-order DBVPs. The existence and uniqueness criterion of the methods is derived. It is proved under the suitable conditions that an extended GSCM is stable, and convergent of order p whenever this method has the consistent order p. The numerical examples illustrate efficiency and accuracy of the methods. Moreover, a comparison between the extended GSCMs and the boundary value methods of first-order BVPs is given. The numerical result shows that the extended GSCMs are comparable.

Keywords: Delay boundary value problem; Generalized Störmer–Cowell method; Stability; Convergence; Numerical experiment (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:294:y:2017:i:c:p:87-95

DOI: 10.1016/j.amc.2016.09.006

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