A UNIFORMLY CONVERGENT FINITE DIFFERENCE METHOD FOR A SINGULARLY PERTURBED INITIAL VALUE PROBLEM  

作　　者：G. M. Amiraliyev, Hakk Duru Department of Mathematics, Y Y University, 65080 VAN, TURKEY 

出　　处：《Applied Mathematics and Mechanics(English Edition)》1999年第4期40-48,共9页应用数学和力学（英文版）

摘　　要：Initial value problem for linear second order ordinary differential equation with small parameter by the first and second derivatives is considered. An exponentially fitted difference scheme with constant fitting factors is developed in a uniform mesh, which gives first_order uniform convergence in the sense of discrete maximum norm. Numerical results are also presented.Initial value problem for linear second order ordinary differential equation with small parameter by the first and second derivatives is considered. An exponentially fitted difference scheme with constant fitting factors is developed in a uniform mesh, which gives first_order uniform convergence in the sense of discrete maximum norm. Numerical results are also presented.

关 键 词：singular perturbation difference scheme uniform convergence initial value condition linear ordinary differential equation 

分 类 号：O241.5[理学—计算数学]