Publication Title

Mathematics of Computation

Publication Date

4-1998

Document Type

Article

Disciplines

Computer Sciences

Abstract

In this paper fitted finite difference methods on a uniform mesh with internodal spacing h, are considered for a singularly perturbed semilinear two-point boundary value problem. It is proved that a scheme of this type with a frozen fitting factor cannot converge epsilon-uniformly in the maximum norm to the solution of the differential equation as the mesh spacing h goes to zero. Numerical experiments are presented which show that the same result is true, for a number of schemes with variable fitting factors.

Comments

First published in Mathematics of Computation in 1998, published by the American Mathematical Society.


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