Spline Approximation for Solving System of First Order Delay Differential Equations

In a previous work, [9], the authors introduced a new technique using a spline function to find an approximate solution for first order delay differential equations. In this presented paper, we develop and modify the lemmas in [9] so that the technique can be extended to work for the case of numerical approximation for solving system of first order delay differential equations. Error estimation and convergence are also considered and tested using numerical examples. The stability of the technique is investigated.