Applied Mathematics and Mechanics (English Edition) ›› 1986, Vol. 7 ›› Issue (3): 269-278.

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UNIFORMLY CONVERGENT DIFFERENCE METHOD FOR THE CONVECTION-DIFFUSION SINGULAR PERTURBATION PROBLEM IN A CURVED BOUNDARY REGION

Sheng Qin   

  1. Suzhou University, Suzhou
  • Received:1985-06-01 Online:1986-03-18 Published:1986-03-18

Abstract: In this paper we construct a difference scheme for the convection-diffusion singular perturbation problem in a convex curved boundary region, and discuss the uniform convergence of its solution. We have proved that the order of uniform convergence of its solution isO (hββ/2) (0<β<1/2) where h τ are the mesh steps in the space and time directions respectively.

Key words: scattering problem, ice-cover surface, hypersingular integral equation, Green’s integral theorem, reflection and transmission coefficients

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