| 广义Improved KdV方程的守恒线性隐式差分格式 |
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| 引用本文： | 左进明,张耀明.广义Improved KdV方程的守恒线性隐式差分格式[J].山东大学学报(理学版),2011,46(12):19-22,28. |
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| 作者姓名： | 左进明 张耀明 |
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| 作者单位： | 山东理工大学理学院,山东淄博,255049 |
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| 基金项目： | 山东省自然科学基金重点资助项目(ZR2010AZ003); 国家自然科学基金资助项目(10571110) |
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| 摘 要： | 对广义Improved KdV（GIKdV）方程的初边值问题提出了一种守恒的线性隐式差分格式,并利用能量分析方法证明了差分格式的稳定性和二阶收敛性。数值试验显示该格式是有效的。
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| 关 键 词： | 广义Improved KdV(GIKdV)方程 线性隐式差分格式 守恒性 收敛性 稳定性 |
A conservative linear-implicit scheme for the general Improved KdV equation |
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| ZUO Jin-ming,ZHANG Yao-ming.A conservative linear-implicit scheme for the general Improved KdV equation[J].Journal of Shandong University,2011,46(12):19-22,28. |
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| Authors: | ZUO Jin-ming ZHANG Yao-ming |
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| Institution: | ZUO Jin-ming,ZHANG Yao-ming(School of Science,Shandong University of Technology,Zibo 255049,Shandong,China) |
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| Abstract: | A new conservative linear-implicit difference scheme is presented for an initial-boundary value problem of the general Improved KdV(GIKdV) equation.It is proved by the discrete energy method that the scheme is unconditionally stable and second-order convergent.Numerical experiments demonstrate that the scheme is accurate and efficient. |
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| Keywords: | GIKdV equation linear-implicit difference scheme conservation convergence stability |
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