A reliable method for first order delay equations based on the implicit hybrid method

Abstract

In this paper, a reliable approach based on the implicit hybrid method is presented to solve first order delay problems. The main difficulty in this approach is that, some points are not grid points. We use interpolation to overcome this difficulty. Theoretical results including stability and convergence results are presented. The efficiency of the proposed approach is tested through two examples.

Keywords

• 34A08
• 26A33
• 35F31
• 65L05