Numerical Scheme for Singularly Perturbed Mixed Delay Differential Equation on Shishkin Type Meshes

Two non-uniform meshes used as part of the finite difference method to resolve singularly perturbed mixed-delay differential equations are studied in this article. The second-order derivative is multiplied by a small parameter which gives rise boundary layers at x=0 and x=3 strong interior x=1 x=2 due delay terms. We prove that almost first-order convergent on Shishkin mesh Bakhvalov–Shishkin mesh. Error estimates derived discrete maximum norm. Some examples provided validate theoretical result.