Uniform High-Order Difference Schemes for a Singularly Perturbed Two-Point Boundary Value Problem
Uniform High-Order Difference Schemes for a Singularly Perturbed Two-Point Boundary Value Problem
A family of uniformly accurate finite-difference schemes for the model problem $- \varepsilon uâ+ a(x)uâ+ b(x)u = f(x)$ is constructed using a general finite-difference framework of Lynch and Rice [Math. Comp., v. 34, 1980, pp. 333-372] and Doedel [SIAM J. Numer. Anal., v. 15, 1978, pp. 450-465], A scheme of …