Non-standard difference schemes for singular perturbation problems revisited
Abbreviated Journal Title
Appl. Math. Comput.
NONASYMPTOTIC METHOD; INTEGRAL-EQUATIONS; Mathematics, Applied
Non-standard finite difference techniques for solving various linear two-point singularly perturbed boundary value problems are considered. They consist of replacing the original differential equation by a related differential equation with a small deviating argument. This related problem is then discretized using finite differences. This discretized problem is solved using standard matrix methods. The accuracy and robustness of these numerical schemes are then carefully investigated, and compared to standard centered finite differences. In particular, earlier claims for the superiority of such schemes over standard finite differences are shown to be invalid. (C) 1998 Elsevier Science Inc. All rights reserved.
Applied Mathematics and Computation
"Non-standard difference schemes for singular perturbation problems revisited" (1998). Faculty Bibliography 1990s. 2484.