| 方程u_(tt)=u_(xxt)+f(u_x)_x初边值问题的差分法 |
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| 引用本文： | 高兴宝,万桂华,陈开周.方程u_(tt)=u_(xxt)+f(u_x)_x初边值问题的差分法[J].计算数学,2000,22(2):167-176. |
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| 作者姓名： | 高兴宝 万桂华 陈开周 |
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| 作者单位： | 1. 西安电子科技大学应用数学系,西安, 710071
2. 陕西师范大学数学系,西安, 710062 |
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| 基金项目： | 国家自然科学基金资助项目(19701020). |
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| 摘 要： | The finite difference method is considered for the followinginitial-boundary-value problem: arrayllutt=uxxt+f(ux)x, & (x,t) QT, u(x,0) =(x), & x ［0,1］, ut(x,0) = (x), & x ［0,1］, u(0,t) =u(1,t) =0, & t ［0,T］,array. where f(s),(x) and (x) are given functions;QT=［0,1］ ［0,T］. The convergence of the finite difference schemesis verified by discrete functional analysis methods and prior estimationtechniques.
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| 关 键 词： | 初边值问题 差分法 收敛性 非线性发展方程 |
| 修稿时间： | 1997年10月18 |
THE FINITE DIFFERENCE METHOD FOR THE INITIAL-BOUNDARY-VALUE PROBLEM OF THE EQUATION |
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| Gao Xinbao,Wan Guihua,Chen Kaizhou.THE FINITE DIFFERENCE METHOD FOR THE INITIAL-BOUNDARY-VALUE PROBLEM OF THE EQUATION[J].Mathematica Numerica Sinica,2000,22(2):167-176. |
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| Authors: | Gao Xinbao Wan Guihua Chen Kaizhou |
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| Institution: | Gao Xinbao (Department of Applied Mathematics, Xidian University, Xi'an, 710071) Wan Guihua (Department of Mathematics, Shaanxi Normal University, Xi'an, 710062) Chen Kaizhou (Department of Applied Mathematics, Xidian University, Xian, 710071) |
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| Abstract: | The finite difference method is considered for.the following initial-boundary- Value problem: where j(s), (x) and (x) are given functions; QT = 0, 1]× 0, T]. The convergence of the finite difference schemes is verified by discrete functional analysis methods and prior estimation techniques. |
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| Keywords: | initial boundary value problem difference method convergence |
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