Publication Title

Mathematics of Computation

Publication Date

1-2009

Document Type

Article

Disciplines

Computer Sciences

Abstract

A class of singularly perturbed quasilinear differential equations with discontinuous data is examined. In general, interior layers will appear in the solutions of problems from this class. A numerical method is constructed for this problem class, which involves an appropriate piecewise-uniform mesh. The method is shown to be a parameter-uniform numerical method with respect to the singular perturbation parameter. Numerical results are presented, which support the theoretical results.

Comments

First published in Mathematics of Computation in 2009, published by the American Mathematical Society.


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