| 解四阶杆振动方程的三层高精度差分格式 |
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| 引用本文： | 李燕,单双荣. 解四阶杆振动方程的三层高精度差分格式[J]. 福州大学学报(自然科学版), 2012, 40(2): 154-159 |
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| 作者姓名： | 李燕 单双荣 |
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| 作者单位： | 华侨大学数学科学学院 |
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| 基金项目： | 国家自然科学基金资助项目(11001090) |
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| 摘 要： | 对四阶杆振动方程构造含参数高精度三层差分格式,当参数满足一定条件时,差分格式稳定,局部截断误差阶数最高可达O(τ4+h8).数值例子说明该方法对稳定性的分析是正确的.
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| 关 键 词： | 四阶杆振动方程 差分格式 高精度 绝对稳定 |
High-accurate and three-layer difference schemes for solving four-order rod vibration equation |
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| LI Yan,SHAN Shuang-rong. High-accurate and three-layer difference schemes for solving four-order rod vibration equation[J]. Journal of Fuzhou University(Natural Science Edition), 2012, 40(2): 154-159 |
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| Authors: | LI Yan SHAN Shuang-rong |
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| Affiliation: | (College of Mathematics,Huaqiao University,Quanzhou,Fujian 362021,China) |
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| Abstract: | A family of high-accurate and three-layer difference schemes with parameters are constructed for solving four-order rod vibration equation.These difference schemes are stable when the parameters satisfy a certain condition.The local truncation error can reach the order of O(τ4+h8) as the maximum.The analysis of stability is correct,as illustrated by numerical example. |
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| Keywords: | four-order rod vibration equation difference scheme high accuracy absolutely stable |
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