A singularly perturbed semilinear two point boundary value problem is considered, without any restriction on its turning points. A difference scheme is presented for solving this problem on an arbitrary locally quasiuniform mesh. It is shown that the solution of the scheme is first order accurate, uniformly in the perturbation parameter, in a discrete L1 norm. Numerical results are presented fo...

We consider singularly perturbed linear boundary value problems for ODE's with variable coefficients, but without turning points. Convergence results are obtained for collocation schemes based on Gauss and Lobatto points, showing that highly accurate numerical solutions for these problems can be obtained at a very reasonable cost using such schemes, provided that appropriate meshes are used. Th...