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S. Hemavathi, T. Bhuvaneswari, S. Valarmathi and J. J. H. Miller, “A Parameter Uniform Numerical Method for a System of Singularly Perturbed Ordinary Differential Equations,” Applied Mathematics and Computation, Vol. 191, No. 1, 2007, pp. 1-11. doi:10.1016/j.amc.2006.05.218

has been cited by the following article:

• TITLE: Uniform Difference Scheme on the Singularly Perturbed System

  AUTHORS: Ilhame G. Amiraliyeva

  KEYWORDS: Singular Perturbation; Linear System; Difference Scheme; Uniform Convergence

  JOURNAL NAME: Applied Mathematics, Vol.3 No.9, September 27, 2012

  ABSTRACT: This paper is concerned with the numerical solution for singular perturbation system of two coupled second ordinary differential equations with initial and boundary conditions, respectively. Fitted finite difference scheme on a uniform mesh, whose solution converges pointwise independently of the singular perturbation parameter is constructed and analyzed.