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M. Kumar, H. K. Mishra and P. Singh, “Numerical Treatment of Singularly Perturbed Two-Point Boundary Value Problems Using Initial Value Method,” Journal of Applied Mathematics and Computation, Vol. 29, No. 1-2, 2009, pp. 229-246. doi:10.1007/s12190-008-0127-3

has been cited by the following article:

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

  AUTHORS: Hradyesh Kumar Mishra, Sonali Saini

  KEYWORDS: Singular Perturbation; Ordinary Differential Equation; Boundary Layer; Two-Point Boundary Value Problem; Liouville-Green Transform

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.3 No.1, March 26, 2013

  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.