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G. M. Amiraliyev and H. Duru, “A Uniformly Convergent Finite Difference Method for a Initial Value Problem,” Applied Mathematics and Mechanics, Vol. 20, No. 4, 1999, pp. 363-370. doi:10.1007/BF02458564

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.