## A Numerical Method for a Singularly Perturbed Three-Point Boundary Value Problem

- Musa Çakir, Gabil M. Amiraliyev
- J. Applied Mathematics
- 2010

@article{Farrell2005ACO, title={A class of singularly perturbed semilinear differential equations with interior layers}, author={Paul A. Farrell and Eugene O'Riordan and Grigorii I. Shishkin}, journal={Math. Comput.}, year={2005}, volume={74}, pages={1759-1776} }

- Published 2005 in Math. Comput.
DOI:10.1090/S0025-5718-05-01764-3

In this paper singularly perturbed semilinear differential equations with a discontinuous source term are examined. A numerical method is constructed for these problems which involves an appropriate piecewise-uniform mesh. The method is shown to be uniformly convergent with respect to the singular perturbation parameter. Numerical results are presented that… CONTINUE READING

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