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

Sun Xiao-di

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Article Navigation > Applied Mathematics and Mechanics > 1992 > 13(2): 129-133

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.

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.

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

Sun Xiao-di

Nanjing University, Nanjing

Received Date: 1990-07-02
Publish Date: 1992-02-15

Abstract

Abstract

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.
- singularly perturbed problem,
- turning point,
- difference method,
- positive type difference scheme

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References(6)

References

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[3]	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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