In this paper we study a class of numerical methods to solve a singularly perturbed two-point boundary value problem. Our schemes arise as result of choosing an appropriate basis for the solution, as well as making use of collocation. It is possible to obtain arbitrarily high-order methods. We note that, in some cases (constant coefficients), we obtain the exact solution. Particular attention is paid to time-independent problems, being time-dependent problems also included.
展开▼
