Fourth-Order Accurate Difference Method for the Singular Perturbation Problem

Liu Chuanhan

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Article Navigation > Applied Mathematics and Mechanics > 1997 > 18(10): 921-929

Liu Chuanhan. Fourth-Order Accurate Difference Method for the Singular Perturbation Problem[J]. Applied Mathematics and Mechanics, 1997, 18(10): 921-929.

Citation:

Liu Chuanhan. Fourth-Order Accurate Difference Method for the Singular Perturbation Problem[J]. Applied Mathematics and Mechanics, 1997, 18(10): 921-929.

Citation:

Liu Chuanhan. Fourth-Order Accurate Difference Method for the Singular Perturbation Problem[J]. Applied Mathematics and Mechanics, 1997, 18(10): 921-929.

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Fourth-Order Accurate Difference Method for the Singular Perturbation Problem

Liu Chuanhan

College of Computer and Information Engineering, Hehai University, Nanjing 210098, P. R. China

Received Date: 1996-01-08
Rev Recd Date: 1997-03-21
Publish Date: 1997-10-15

Abstract

Abstract

In this paper,the numerical solution of fourth-order ordinary differential equations is considered.To approximate the differential equation,the Hermitian scheme on a special nonequidistant mesh is used.The fourth order convergence uniform in the perturbation parameter is proved.The numerical result shows the pomtwise convergence,too.
- nonequidistant mesh,
- mesh generating function,
- Hermitian scheme,
- uniformly convergence

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References(12)

References

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