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Z. D. Cen, A. M. Xu and A. Le, “A Second-order Hybrid Finite Difference Scheme for a System of Singularly Perturbed Initial Value Problems,” Journal of Computational and Applied Mathematics, Vol. 234, No. 12, 2010, pp. 3445-3457. doi:10.1016/j.cam.2010.05.006

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.