Author(s) | |
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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 | |
Publication Date |
2009-01-01
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Publication Title |
Mathematics of Computation
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Volume |
78
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Issue |
265
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First Page |
103
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Last Page |
127
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Subject | |
Community | |
Comments | |
Recommended Citation |
Farrell, Paul A; O'Riordan, Eugene; Shishkin, Grigori I (2009). A Class of Singularly Perturbed Quasilinear Differential Equations with Interior Layers. Mathematics of Computation 78(265) 103-127. Retrieved from https://oaks.kent.edu/cspubs/10
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First published in Mathematics of Computation in 2009, published by the American Mathematical Society.