NUMERICAL SOLUTION OF A SINGULARLY PERTURBED ELLIPTIC-HYPERBOLIC PARTIAL DIFFERENTIAL EQUATION ON A NONUNIFORM DISCRETIZATION MESH

Applied Mathematics and Mechanics (English Edition) ›› 1992, Vol. 13 ›› Issue (12): 1081-1088.

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NUMERICAL SOLUTION OF A SINGULARLY PERTURBED ELLIPTIC-HYPERBOLIC PARTIAL DIFFERENTIAL EQUATION ON A NONUNIFORM DISCRETIZATION MESH

Wu Qi-guang, Sun Xiao-di

Nanjing University, Nanjing

Received:1991-10-18 Online:1992-12-18 Published:1992-12-18

Abstract

Abstract: In this paper, we consider the upwind difference scheme for singular perturbation problem (1.1). On a special discretization mesh, it is proved that the solution of the upwind difference scheme is first order convergent, uniformly in the small parameter e, to the solution of problem (1.1). Numerical results are finally provided.

Key words: partial differential equation, singular perturbation problem, upwind difference scheme, nonuniform discretization mesh

Wu Qi-guang;Sun Xiao-di. NUMERICAL SOLUTION OF A SINGULARLY PERTURBED ELLIPTIC-HYPERBOLIC PARTIAL DIFFERENTIAL EQUATION ON A NONUNIFORM DISCRETIZATION MESH. Applied Mathematics and Mechanics (English Edition), 1992, 13(12): 1081-1088.

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NUMERICAL SOLUTION OF A SINGULARLY PERTURBED ELLIPTIC-HYPERBOLIC PARTIAL DIFFERENTIAL EQUATION ON A NONUNIFORM DISCRETIZATION MESH

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