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On the generation of higher order numerical integration methods using lower order Adams–Bashforth and Adams–Moulton methods

✍ Scribed by J.C. Chiou; S.D. Wu

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
121 KB
Volume
108
Category
Article
ISSN
0377-0427

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✦ Synopsis

In this paper, a new explicit numerical integration method is proposed. The proposed method is based on the relationship that m-step Adams-Moulton method is the linear convex combination of (m-1)-step Adams-Moulton and m-step Adams-Bashforth methods with a ÿxed weighting coe cient. By examining the order of accuracy and stability regions, we conclude that the present method is superior to the traditional Adams-Bashforth-Moulton predictor-corrector method. A simple harmonic oscillator problem is used to demonstrate the e ciency of the proposed method.

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