A uniformly almost second order convergent numerical method for singularly perturbed delay differential equations
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摘要
The purpose of this paper is to present a uniform finite difference method for the numerical solution of a second order singularly perturbed delay differential equation. The problem is solved by using a hybrid difference scheme on a Shishkin-type mesh. The method is shown to be uniformly convergent with respect to the perturbation parameter. Numerical experiments illustrate in practice the result of convergence proved theoretically.
论文关键词:Delay differential equation,Singular perturbation,Finite difference scheme,Piecewise-uniform mesh,Error estimates
论文评审过程:Received 25 July 2017, Revised 11 November 2017, Accepted 11 November 2017, Available online 21 November 2017, Version of Record 22 December 2017.
论文官网地址:https://doi.org/10.1016/j.cam.2017.11.017