Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (7): 755-764.

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NUMERICAL SOLUTION OF THE SINGULARLY PERTURBED PROBLEM WITH NONLOCAL BOUNDARY CONDITION

G.M. Amiraliyev, Musa Çakir   

  1. Department of Mathematics, Y Y University, 65080 Van, Turkey
  • 收稿日期:2001-09-10 出版日期:2002-07-18 发布日期:2002-07-18

NUMERICAL SOLUTION OF THE SINGULARLY PERTURBED PROBLEM WITH NONLOCAL BOUNDARY CONDITION

G.M. Amiraliyev, Musa Çakir   

  1. Department of Mathematics, Y Y University, 65080 Van, Turkey
  • Received:2001-09-10 Online:2002-07-18 Published:2002-07-18

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.

Abstract: 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.

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