| EFFICIENT SIXTH ORDER P-STABLE METHODS WITH MINIMAL LOCAL TRUNCATION ERROR FOR y"=f(x,y) |
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| 引用本文： | Kai-li Xiang (Department of Computer Science,Southwest Petroleum Institute,Nanchong 637001,China) R.M. Thomas (Department of Mathematics,UMIST,Manchester,M60 1 QD,UK). EFFICIENT SIXTH ORDER P-STABLE METHODS WITH MINIMAL LOCAL TRUNCATION ERROR FOR y"=f(x,y)[J]. 计算数学(英文版), 2002, 0(2) |
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| 作者姓名： | Kai-li Xiang (Department of Computer Science Southwest Petroleum Institute Nanchong 637001 China) R.M. Thomas (Department of Mathematics UMIST Manchester M60 1 QD UK) |
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| 作者单位： | Kai-li Xiang (Department of Computer Science，Southwest Petroleum Institute，Nanchong 637001，China) R.M. Thomas (Department of Mathematics，UMIST，Manchester，M60 1 QD，UK) |
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| 基金项目： | State Key Laboratory of Oil/Gas Reservoir Geology and Exploitation (PLN0115). |
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| 摘 要： | 1. IntroductionWe consider a class of direct hybrid methods proposed in [11 for solving the second orderinitial value problemy" = f(t,y), y(0),y'(0) given (1.1)The basic method has the formandHere t. = nh and we define t.l.. = t. I aih, i = 1, 2 and n=0,1…
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EFFICIENT SIXTH ORDER P-STABLE METHODS WITH MINIMAL LOCAL TRUNCATION ERROR FOR y"=f(x,y) |
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| Kai-li Xiang. EFFICIENT SIXTH ORDER P-STABLE METHODS WITH MINIMAL LOCAL TRUNCATION ERROR FOR y"=f(x,y)[J]. Journal of Computational Mathematics, 2002, 0(2) |
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| Authors: | Kai-li Xiang |
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| Abstract: | A family of symmetric (hybrid) two step sixth P-stable methods for the accurate numerical integration of second order periodic initial value problems have been considered in this paper. These methods, which require only three (new) function evaluation per iteration and per step integration. These methods have minimal local truncation error (LTE) and smaller phase-lag of sixth order than some sixth orders P-stable methods in [1-3,10-11]. The theoretical and numerical results show that these methods in this paper are more accurate and efficient than some methods proposed in [1-3,10]. |
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| Keywords: | Second order periodic initial value problems P-stable Phase-lag Local trun- cation error. |
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