Asymptotic-Numerical Method for Third-Order Singular Perturbation Problems

In this paper, a class of third order singularly perturbed boundary value problems with suitable boundary conditions is considered. The third order boundary value problem is transformed to asymptotically equivalent second order boundary value problem. This problem is solved efficiently by using fitted Numerov method. Linear and non-linear examples are solved to illustrate the method and relative errors with 2 L -norms are presented to support the method.