| 非线性波动方程的显式差分法 |
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| 引用本文： | 房少梅.非线性波动方程的显式差分法[J].应用泛函分析学报,2000,2(1):58-62. |
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| 作者姓名： | 房少梅 |
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| 作者单位： | 韶关大学数学系,广东,韶关,512005 |
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| 摘 要： | 利用有界延拓法，研究了非线性波动方程周期初边值问题的显式差分解的收敛性与稳定性，避免了较难的先验估计，并放宽了非线性项的条件。
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| 关 键 词： | 非线性波动方程 显式差分格式 收敛性 周期初边值问题 |
| 修稿时间： | 1999-11-22 |
The Explicit Difference Method for the Nonlinear Wave Equation |
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| FANG Shao-mei.The Explicit Difference Method for the Nonlinear Wave Equation[J].Acta Analysis Functionalis Applicata,2000,2(1):58-62. |
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| Authors: | FANG Shao-mei |
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| Abstract: | In this paper, the convergence and stability of the finite explicit difference scheme for the non-linear wave equation are studied by using the bounded extensive method under a more general condition forthe nonlinear term. The complex standard priori estimates are avoided. |
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| Keywords: | nonlinear wave equation explicit difference scheme convergence |
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