A second-order finite difference scheme for a class of singularly perturbed delay differential equations

作者：Cen Zhongdi^*

来源：International Journal of Computer Mathematics, 2010, 87(1): 173-185.

DOI：10.1080/00207160801989875

• delay differential equation
• singular perturbation
• Shishkin mesh
• finite difference
• uniform convergence

In this paper a class of delay differential equations with a perturbation parameter e is examined. A hybrid finite difference scheme on an appropriate piecewise uniform mesh of Shishkin-type is derived. We show that the scheme is almost second-order convergent, in the discrete maximum norm, independent of singular perturbation parameter. Numerical experiments support these theoretical results.

• 出版日期2010
• 单位浙江万里学院