Acta mathematica scientia,Series A ›› 1999, Vol. 19 ›› Issue (1): 39-44.

• Articles • Previous Articles     Next Articles

A Uniformly Convergent Difference Scheme for the Singular perturbation Problem of a Nonlinesr Elliptic Equation

  

  1. (Nanjing University, Nanjing 210093)

  • Online:1999-02-01 Published:1999-02-01

Abstract:

In this paper, a generalized OCI difference scheme for solving the singular perturbation problem of nonlinear elliptic equation is presented. It is shown that the solution of the scheme converges uniformly in perturbation parameter, to that of continuons problem. A numerical example is given.

Key words: OCIscheme, Singularperturbationproblem, Nonlinearellipticequation, Uniformconvergence.

CLC Number: 

  • 65N
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