2013•American Journal of Computational MathematicsOpen access

Numerical Solution of Singularly Perturbed Two-Point Boundary Value Problem via Liouville-Green Transform

Hradyesh Kumar Mishra, Sonali Saini

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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Key concepts: Mathematics, Boundary value problem, Mathematical analysis, Interval (graph theory), Mixed boundary condition, Singular boundary method, Boundary (topology), Point (geometry)