zbMATH — the first resource for mathematics

On a numerical solution of a type of singularly perturbed boundary value problem by using a special discretization mesh. (English) Zbl 0573.65064
The author uses a classical finite difference scheme on a non-uniform mesh to solve a nonlinear singularly perturbed boundary value problem. The discretization mesh is constructed in a special way. The method is shown to have the second order convergence, uniform in \(\epsilon\). A numerical example is solved to test the method.
Reviewer: I.H.Mufti

65L10 Numerical solution of boundary value problems involving ordinary differential equations
65L20 Stability and convergence of numerical methods for ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations
34E15 Singular perturbations, general theory for ordinary differential equations