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

Authors(3) :-S. A. Egbetade, I. A. Salawu, S. A. Agboluaje

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.

Authors and Affiliations

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

Boundary Value Problems, Newton Linearisation Scheme

  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.

Publication Details

Published in : Volume 2 | Issue 4 | July-August 2016
Date of Publication : 2016-08-30
License:  This work is licensed under a Creative Commons Attribution 4.0 International License.
Page(s) : 222-226
Manuscript Number : IJSRSET162447
Publisher : Technoscience Academy

Print ISSN : 2395-1990, Online ISSN : 2394-4099

Cite This Article :

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.
Journal URL : http://ijsrset.com/IJSRSET162447

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