A　UNIFORMLY　CONVERGENT　DIFFERENCE　SCHEME　FOR　THE　SINGULAR　PERTURBATION　PROBLEM　OF　A　HIGH　ORDER　ELLIPTIC　DIFFERENTIAL　EQUATION  

作　　者：刘国庆 苏煜城 

出　　处：《Applied Mathematics and Mechanics(English Edition)》1996年第5期413-421,共9页应用数学和力学（英文版）

摘　　要：In this paper, we first consider the singularly perturbed boundary value problem for the fourth-order elliptic differential equation, establish the priori estimation of the solution of the continuous problem. Then, we present an exponential fitted difference scheme and discuss the solution properties of the difference equations. Finally, the uniform convergence of this scheme with respect to the small parameter in the discrete energy norm, is proved.In this paper, we first consider the singularly perturbed boundary value problem for the fourth-order elliptic differential equation, establish the priori estimation of the solution of the continuous problem. Then, we present an exponential fitted difference scheme and discuss the solution properties of the difference equations. Finally, the uniform convergence of this scheme with respect to the small parameter in the discrete energy norm, is proved.

关 键 词：ELLIPTIC singular perturbation difference scheme uniform convergence 

分 类 号：O241[理学—计算数学]