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G. M. Amiraliyev, “The Convergence of a Finite Difference Method on Layer-Adapted Mesh for a Singularly Perturbed System,” Applied Mathematics and Computation, Vol. 162, No. 3, 2005, pp. 1023-1034. doi:10.1016/j.amc.2004.01.015

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.