| 四阶Adams-Bashforth组合公式的预估-校正方法的对比试验 |
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| 引用本文： | 刘冬兵.四阶Adams-Bashforth组合公式的预估-校正方法的对比试验[J].西昌学院学报(自然科学版),2012,26(3):43-46. |
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| 作者姓名： | 刘冬兵 |
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| 作者单位： | 攀枝花学院数学与计算机学院,四川攀枝花,617000 |
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| 基金项目： | 攀枝花学院教研教改项目(项目编号J:J1118) |
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| 摘 要： | 本文研究了由4阶显式的Adams-Bashforth公式与同阶隐式的Adams-Moulton,Hamming和Gear公式组合构造了预估-校正方法,对它们进行了数值对比试验,获得了Adams-Bashforth-Hamming预估-校正方法比其它两种方法的计算结果稳定.
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| 关 键 词： | 线性多步法 预估-校正法 数值试验 |
The Comparative Test of Fourth Order Adams-Bashforth Combination Formula Predictor-corrector Methods |
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| LIU Dong-bing.The Comparative Test of Fourth Order Adams-Bashforth Combination Formula Predictor-corrector Methods[J].Journal of Xichang College,2012,26(3):43-46. |
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| Authors: | LIU Dong-bing |
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| Institution: | LIU Dong-bing(Department of Mathematics and Computer,Panzhihua College,Panzhihua,Sichuan 617000) |
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| Abstract: | This paper studies the predictor-corrector method composed by Adams-Bashforth formula with four-order explicit and the predictor-corrector method composed by Adams-Moulton,Hamming and Gear formulas with the same implicit.The numerical comparative test is implemented between these two methods.Thus it obtains that the calculation result of Adams-Bashforth-Hamming predictor-corrector method is more stabler than the other two methods. |
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| Keywords: | Linear multistep method Predictor-corrector Numerical experiment |
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