1. Open Access Kent State
  2. A Class of Singularly Perturbed Quasilinear Differential Equations with Interior Layers
Author(s)
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.
Format
Article
Publication Date
2009-01-01
Publication Title
Mathematics of Computation
Volume
78
Issue
265
First Page
103
Last Page
127
Subject
Community
Department of Computer Science
Comments

First published in Mathematics of Computation in 2009, published by the American Mathematical Society.
Permalink https://oaks.kent.edu/cspubs/10
Farrell, P., O’Riordan, E., & Shishkin, G. (2009). A Class of Singularly Perturbed Quasilinear Differential Equations with Interior Layers. Mathematics of Computation. https://oaks.kent.edu/node/1323
Farrell, Paul, Eugene O’Riordan, and Grigori Shishkin. 2009. “A Class of Singularly Perturbed Quasilinear Differential Equations With Interior Layers”. Mathematics of Computation. https://oaks.kent.edu/node/1323.
Farrell, P., E. O’Riordan, and G. Shishkin. A Class of Singularly Perturbed Quasilinear Differential Equations With Interior Layers. Mathematics of Computation, 1 Jan. 2009, https://oaks.kent.edu/node/1323.