Non Standard Finite Difference Method for Singularly Perturbed Boundary Value Problems with Negative Shift Parameter

Abstract

In this thesis, we consider singularly perturbed differential equation containing neg ative shift parameter on the convection term. The considered problem exhibits boundary layer on the left or right side of the domain, depending on the sign of the coefficient of convective term. The terms with the negative shift treated using Tay lor’s approximation. The resulting singularly perturbed boundary value problem is solved using the technique of non-standard finite difference method. The formu lated scheme converges uniformly with order of convergence O(h). The theoretical finding is validated using numerical examples and observed to be more accurate than the results in the literature.