A uniform numerical method for dealing with a singularly perturbed delay initial value problem

作者：Amiraliyeva I G^*; Erdogan F; Amiraliyev G M

来源：Applied Mathematics Letters, 2010, 23(10): 1221-1225.

DOI：10.1016/j.aml.2010.06.002

• Delay differential equation
• Singular perturbation
• Exponentially fitted difference scheme
• Uniformly convergent
• Error estimates

This work deals with a singularly perturbed initial value problem fora quasi-linear second-order delay differential equation. An exponentially fitted difference scheme is constructed, in an equidistant mesh, which gives first-order uniform convergence in the discrete maximum norm. Numerical results are also presented.

• 出版日期2010-10