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

J. C. Chiou*, S. D. Wu

*此作品的通信作者

研究成果: 雜誌貢獻期刊論文同行評審

8 引文 斯高帕斯(Scopus)

摘要

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 fixed weighting coefficient. 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 efficiency of the proposed method.

原文英語
頁(從 - 到)19-29
頁數11
期刊Journal of Computational and Applied Mathematics
108
發行號1-2
DOIs
出版狀態已發佈 - 1999 八月 15
對外發佈

ASJC Scopus subject areas

  • 計算數學
  • 應用數學

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