Applied Mathematics and Mechanics (English Edition) ›› 1992, Vol. 13 ›› Issue (2): 143-147.

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A SECOND ORDER UNIFORM DIFFERENCE SCHEME FOR A SINGULARLY PERTURBED TURNING POINT PROBLEM

Sun Xiao-di   

  1. Nanjing University, Nanjing
  • Received:1990-07-02 Online:1992-02-18 Published:1992-02-18

Abstract: We construct a positive type difference scheme for a singularly perturbed boundary value problem with a turning point.It’s proved that this scheme is the second order convergence, uniformly in ε, to the solution of the singularly perturbed B.V.P.Numerical examples are provided.

Key words: singularly perturbed problem, turning point, difference method, positive type difference scheme

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