Sheng Qin. Uniformly Convergent Difference Method for the Convection-Diffusion Singular Perturbation Problem in a Curved Boundary Region[J]. Applied Mathematics and Mechanics, 1986, 7(3): 249-258.
Citation: Sheng Qin. Uniformly Convergent Difference Method for the Convection-Diffusion Singular Perturbation Problem in a Curved Boundary Region[J]. Applied Mathematics and Mechanics, 1986, 7(3): 249-258.

Uniformly Convergent Difference Method for the Convection-Diffusion Singular Perturbation Problem in a Curved Boundary Region

  • Received Date: 1985-01-24
  • Publish Date: 1986-03-15
  • 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 is O(hββ/2)(0<β<1/2),where h,τ are the mesh steps in the space and time directions respectively.
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