Application of Parameter Expansion Method For Nonlinear Singularly Perturbed Boundary Value Problems (BVP's)

Authors

  • S. A. Egbetade  Department of Mathematics and Statistics, The Polytechnic, Ibadan
  • I. A. Salawu  Department of Mathematics and Statistics, The Polytechnic, Ibadan
  • S. A. Agboluaje  Department of Mathematics and Statistics, The Polytechnic, Ibadan

Keywords:

Boundary Value Problems, Newton Linearisation Scheme

Abstract

In this paper, we present a parameter expansion method for two-point nonlinear singularly perturbed boundary value problem for second order ordinary di erential equation. Newton linearization scheme is used to linearize the nonlinear problem.

References

  1. Okoro, F., Onumanyi, P. and Taiwo, O.A. (1988); Exponential fitting and parameter expansion in the tau method for two-point singularly perturbed boundary vaue problem computatioal Mathematics III, 203 - 207.
  2. Onumanyi, P. and Ortiz, E.L. (1984). Numerical solution of sti and singularly perturbed boundary value problems with a segmented adaptive formulation of the tau method, Math. Comp. 43, 189-203.
  3. Taiwo, O.A. and Onumanyi, P. (1990). A collocation approximation of singularly perturbed second order ordinary di erential equation, Comp. Math. 40, 35-40.

International Journal of Scientific Research in Science, Engineering and Technology

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Published

2016-08-30

Issue

Volume 2, Issue 4, July-August-2016

Section

Research Articles

License

Copyright (c) IJSRSET

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
S. A. Egbetade, I. A. Salawu, S. A. Agboluaje, " Application of Parameter Expansion Method For Nonlinear Singularly Perturbed Boundary Value Problems (BVP's), International Journal of Scientific Research in Science, Engineering and Technology(IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 2, Issue 4, pp.222-226, July-August-2016.