Sun Xiao-di. A Second Order Uniform Difference Scheme for a Singularly Perturbed Turning Point Problem[J]. Applied Mathematics and Mechanics, 1992, 13(2): 129-133.
Citation: Sun Xiao-di. A Second Order Uniform Difference Scheme for a Singularly Perturbed Turning Point Problem[J]. Applied Mathematics and Mechanics, 1992, 13(2): 129-133.

A Second Order Uniform Difference Scheme for a Singularly Perturbed Turning Point Problem

  • Received Date: 1990-07-02
  • Publish Date: 1992-02-15
  • We construct a positive type diffcu(nce 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 ihc solution of the singularly perturbed B. V. P.Numerical ezamples are provided.
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    Farrell,P.A.,Sufficient conditions for the uniform convergence of a difference scheme for singularly perturbed turning problem,SIAM J.Numer.Anal.,25(188),618-643.
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    Liseikin,V.D.,On the numerical solution of equations with interior and exterior boundary layers on a non-uniform mesh,Proc.BAIL Ⅲ Conference,J.J.H.Miller,Ed.,Boole Prees,Dublin(1984),68-80.
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