AN EXPONENTIALLY FITTED DIFFERENCE SCHEME FOR THE HYPERBOLIC-HYPERBOLIC SINGULARLY PERTURBED INITIAL-BOUNDARY VALUE PROBLEM  

作　　者：苏煜城 林平 

机构地区：[1]Nanjing University, Nanjing

出　　处：《Applied Mathematics and Mechanics(English Edition)》1991年第3期237-245,共9页应用数学和力学（英文版）

摘　　要：In this paper we discuss, an initial-boundary value problem of hyperbolic type with first derivative with respect to x. The asymptotic solution is constructed and its uniform validity is proved under weader compatibility conditions. Then we develop an exponentially fitted difference scheme and establish discrete energy inequality. Finally, we prove that the solution of difference problem uniformly converges to the solution of the original problem.In this paper we discuss, an initial-boundary value problem of hyperbolic type with first derivative with respect to x. The asymptotic solution is constructed and its uniform validity is proved under weader compatibility conditions. Then we develop an exponentially fitted difference scheme and establish discrete energy inequality. Finally, we prove that the solution of difference problem uniformly converges to the solution of the original problem.

关 键 词：hyperbolic equation singular perturbation exponential fitting difference scheme boundary value problem 

分 类 号：O3，O1[理学—力学]