Uniformly Higher Order Accurate Extrapolations to Solution of Uniformly Convergent Discretization Methods for Singularly Perturbed Problems

Sun Guang-fu

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Article Navigation > Applied Mathematics and Mechanics > 1990 > 11(3): 253-258

Sun Guang-fu. Uniformly Higher Order Accurate Extrapolations to Solution of Uniformly Convergent Discretization Methods for Singularly Perturbed Problems[J]. Applied Mathematics and Mechanics, 1990, 11(3): 253-258.

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Uniformly Higher Order Accurate Extrapolations to Solution of Uniformly Convergent Discretization Methods for Singularly Perturbed Problems

Sun Guang-fu

Department of Computer Science, Fuzhou University, Fuzhou

Received Date: 1989-10-07
Publish Date: 1990-03-15

Abstract

Abstract

We discuss the uniformly higher order accurate extrapolations, which are based on the uniform expansion for global error, to solutions of uniformly convergent discretization methods for singularly perturbed problems. By applying the approach to the in-Allen-Southwell scheme for a non-self-adjoint problem, we obtain an extrapolation solution which is uniformly convergent with order two. We confirm the result by numerical calculations.

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References(7)

References

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