A uniformly almost second order convergent numerical method for singularly perturbed delay differential equations

作者：Erdogan, Fevzi; Cen, Zhongdi^*

来源：Journal of Computational and Applied Mathematics, 2018, 333: 382-394.

DOI：10.1016/j.cam.2017.11.017

• Delay differential equation
• Singular perturbation
• Finite difference scheme
• Piecewise-uniform mesh
• Error estimates

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.

• 出版日期2018-5-1
• 单位浙江万里学院