American Journal of Computational Mathematics
Volume 3, Issue 1 (March 2013)
ISSN Print: 2161-1203 ISSN Online: 2161-1211
Google-based Impact Factor: 0.42 Citations
Numerical Solution of Singularly Perturbed Two-Point Boundary Value Problem via Liouville-Green Transform ()
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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.
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