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Numerical Solution of Singularly Perturbed Two-Point Boundary Value Problem via Liouville-Green Transform
Department of Mathematics, Jaypee University of Engineering & Technology, Guna, India
Department of Mathematics, Jaypee University of Engineering & Technology, Guna, India
- 1 Department of Mathematics, Jaypee University of Engineering & Technology, Guna, India
- 2 Department of Mathematics, Jaypee University of Engineering & Technology, Guna, India
American Journal of Computational Mathematics·Volume 03 (2013)·Pages 1–5·Published 26 March 2013·DOI10.4236/ajcm.2013.31001
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Abstract
In this paper, authors describe a Liouville-Green transform to solve a singularly perturbed two-point boundary value problem with right end boundary layer in the interval [0, 1]. They reply Liouville-Green transform into original given problem and finds the numerical solution. Then they implemented this method on two linear examples with right end boundary layer which nicely approximate the exact solution.
KeywordsSingular PerturbationOrdinary Differential EquationBoundary LayerTwo-Point Boundary Value ProblemLiouville-Green Transform
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