| 广义正则长波方程隐式差分格式 |
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| 引用本文： | 潘新田.广义正则长波方程隐式差分格式[J].科技信息,2008(24). |
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| 作者姓名： | 潘新田 |
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| 作者单位： | 潍坊学院 |
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| 摘 要： | 首先提出了一个求解广义正则长波方程的新的守恒的隐式差分格式,引入了参数η(0≤η≤1),并对该格式作了稳定性与收敛性分析,格式的截断误差为O(τ2+h2)数值结果表明,该方法具有较高的精度,是有效的,可靠的。
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| 关 键 词： | 广义正则长波方程 守恒的差分方法 稳定性 收敛性 |
A NEW CONSERVATIVE FINITE DIFFERENCE METHOD FOR GENERALIZED REGULARIZED LONG WAVE EQUATION |
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| Pan Xin-tian.A NEW CONSERVATIVE FINITE DIFFERENCE METHOD FOR GENERALIZED REGULARIZED LONG WAVE EQUATION[J].Science,2008(24). |
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| Authors: | Pan Xin-tian |
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| Institution: | Pan Xin-tian (Weifang Univer sity; Weifang; Shandong; 261061 ); |
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| Abstract: | In this paper , a new conservative implicit finite difference method for a Cauchy problem of generalized long wave equation is considered, we introduce a parameter η(0≤η≤1) to the scheme, whose truncation error is O(τ2+h2). Anenergy conservative finite difference scheme is proposed and its convergence and stability are proved. A numerical example shows that the method has good accuracy and efficiency. |
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| Keywords: | GRLW equation conservative finite difference method convergence stability |
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