NUMERICAL SOLUTION OF THE SINGULARLY PERTURBED PROBLEM WITH NONLOCAL BOUNDARY CONDITION  

作　　者：G.M.Amiraliyev Musa CakDr 

机构地区：[1]Department of Mathematics,Y Y University,65080 Van,Turkey [2]Communicated by HE Ji-huan,Original Member of Editorial Committee,AMM

出　　处：《Applied Mathematics and Mechanics(English Edition)》2002年第7期755-764,共10页应用数学和力学(英文版)

摘　　要：Singularly perturbed boundary value problem with nonlocal conditions is examined. The appopriate solution exhibits boundary layer behavior for small positive values of the perturbative parameter. An exponentially fitted finite difference scheme on a non-equidistant mesh is constructed for solving this problem. The uniform convergence analysis in small parameter is given. Numerical example is provided, too.Singularly perturbed boundary value problem with nonlocal conditions is examined. The appopriate solution exhibits boundary layer behavior for small positive values of the perturbative parameter. An exponentially fitted finite difference scheme on a non-equidistant mesh is constructed for solving this problem. The uniform convergence analysis in small parameter is given. Numerical example is provided, too.

关 键 词：exponentially fitted difference scheme singular perturbation nonlocal boundary condition 

分 类 号：O241.81[理学—计算数学]