解非线性椭圆型方程奇异摄动问题的一致收敛差分格式

A Uniformly Convergent Difference Scheme for the Singular Perturbation Problem of a Nonlinear Elliptic Equation

给出了求解非线性椭圆型偏微分方程奇异摄动问题的广义OCI差分格式．证明了这种格式的解关于摄动参数一致收敛于连续问题的解．给出了数值例子．

In this paper, a generalized OCI difference scheme for solving the singular per-turbation 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 prob-lem. A numerical example is given.