| EXPLICIT TWO-STEP HIGH-ACCURACY METHODS FOR y" = f(x,y) |
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| 引用本文： | 向开理,张建军. EXPLICIT TWO-STEP HIGH-ACCURACY METHODS FOR y" = f(x,y)[J]. 高等学校计算数学学报(英文版), 1994, 0(2) |
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| 作者姓名： | 向开理 张建军 |
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| 作者单位： | Department of Basic Sciences，South West Petroleum Institute，Nanchong，Sichuan，637001，PRC.，Department of Basic Sciences，South West Petroleum Institute，Nanchong，Sichuan，637001，PRC. |
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| 摘 要： | In this paper, an almost P-stable two-step sixth-order Hybrid method with phase-lag of order infinity and a class explicit eighth-order Obreckoff methods with phase-lag of order 10-24 are developed for the numerical integration of the special second-order periodic initial-value problems. These methods have the advantage of higher algebraic order and considerably smaller phase-tag compared with some methods in [1-6]. Numerical examples indicate that these new methods are more accurate than methods developed by [1-6].
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EXPLICIT TWO-STEP HIGH-ACCURACY METHODS FOR y" = f(x,y) |
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| Xiang Kai-li. EXPLICIT TWO-STEP HIGH-ACCURACY METHODS FOR y" = f(x,y)[J]. Numerical Mathematics A Journal of Chinese Universities English Series, 1994, 0(2) |
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| Authors: | Xiang Kai-li |
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| Affiliation: | Xiang Kai-li Department of Basic Sciences,South West Petroleum Institute,Nanchong,Sichuan,637001,PRC.Zhang Jian-jun Department of Basic Sciences,South West Petroleum Institute,Nanchong,Sichuan,637001,PRC. |
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| Abstract: | In this paper, an almost P-stable two-step sixth-order Hybrid method with phase-lag of order infinity and a class explicit eighth-order Obreckoff methods with phase-lag of order 10-24 are developed for the numerical integration of the special second-order periodic initial-value problems. These methods have the advantage of higher algebraic order and considerably smaller phase-tag compared with some methods in [1-6]. Numerical examples indicate that these new methods are more accurate than methods developed by [1-6]. |
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| Keywords: | second order periodic initial-value problems interval of periodicity minimal phase-lag of order. |
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