Applied Mathematics and Mechanics (English Edition) ›› 1992, Vol. 13 ›› Issue (11): 1009-1016.

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A COUPLING DIFFERENCE SCHEME FOR THE NUMERICAL SOLUTION OF A SINGULAR PERTURBATION PROBLEM

Sun Xiao-di, Wu Qi-guang   

  1. Nanjing University, Nanjing
  • Received:1991-10-08 Online:1992-11-18 Published:1992-11-18

Abstract: In this paper, we consider a singularly perturbed problem without turning points. On a special discretization mesh, a coupling difference scheme, resulting from central difference scheme and Abrahamsson-Keller-Kreiss box scheme, is proposed and the second order convergence, uniform in the small parameter, is proved. Finally, numerical results are provided.

Key words: singularly perturbed problem, coupling difference scheme, nonuniform mesh

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