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Article
A Class of Singularly Perturbed Quasilinear Differential Equations with Interior Layers
Mathematics of Computation
  • Paul A Farrell, Kent State University - Kent Campus
  • Eugene O'Riordan, Dublin City University
  • Grigori I Shishkin, Russian Academy of Sciences
Publication Date
1-1-2009
Document Type
Article
Disciplines
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.

Citation Information
Paul A Farrell, Eugene O'Riordan and Grigori I Shishkin. "A Class of Singularly Perturbed Quasilinear Differential Equations with Interior Layers" Mathematics of Computation Vol. 78 Iss. 265 (2009) p. 103 - 127
Available at: http://works.bepress.com/paul_farrell/5/