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A P-STABLE EIGHTEENTH-ORDER SIX-STEP METHOD FOR PERIODIC INITIAL VALUE PROBLEMS

Department of Physics, Shanghai University, 99 ShangDa Road, Shanghai 200444, China

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ZHONGCHENG WANG

Department of Physics, Shanghai University, 99 ShangDa Road, Shanghai 200444, China

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https://doi.org/10.1142/S0129183107010449Cited by:55 (Source: Crossref)

Abstract

In this paper we present a new kind of P-stable eighteenth-order six-step method for periodic initial-value problems. We add the fourth derivatives to our previous P-stable six-step method to increase the accuracy. We apply two classes of well-known problems to our new method and compare it with the previous methods. The numerical results show that the new method is much more stable, accurate and efficient than the previous methods.

Keywords:

PACS: 02.60.2x, 02.60.Cb, 02.60.Lj, 02.70.2c, 02.70.Bf

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Journal cover image

Vol. 18, No. 03

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Downloaded 15 times

History

Received 15 March 2006

Revised 3 July 2006

Accepted 6 July 2006

Keywords