Two-step fourth order methods for linear ODEs of the second order

被引：0
|
作者：
Mikhail V. Bulatov
Guido Vanden Berghe
机构：
[1] Sibirian Branch of the Russian Academy of Science,Institute of System Dynamics and Control Theory
[2] University of Gent,Department of Applied Mathematics and Computer Science
来源：
Numerical Algorithms | 2009年 / 51卷
关键词：
Difference schemes; Numerov method; -stability;
D O I：
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中图分类号：
学科分类号：
摘要：
A family of two step difference schemes of the fourth order has been developed for linear ODEs of the second order. Stability properties for such schemes are discussed and results of numerical tests are given. It is shown how the proposed technique can be extended to non-linear ODEs of second order.
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页码：449 / 460
页数：11
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