| 求解广义Burgers方程的一种迭代方法(英文) |
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| 引用本文： | 李福祥,崔明根.求解广义Burgers方程的一种迭代方法(英文)[J].黑龙江大学自然科学学报,2009,26(1). |
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| 作者姓名： | 李福祥 崔明根 |
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| 作者单位： | 1. 哈尔滨工业大学数学系,哈尔滨,150001;哈尔滨理工大学数学系,哈尔滨,150080
2. 哈尔滨工业大学数学系,哈尔滨,150001 |
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| 基金项目： | 国家自然科学基金，黑龙江省自然科学基金，the Educational Department Scientific Technology Program of Heilongjiang |
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| 摘 要： | 在再生核空间W(2,3)中给出了求解广义Burgers方程的一种迭代方法.证明了近似解un(t,x)收敛到精确解u(t,x).该方法是大范围收敛,即对任意的初始函数u1(t,x),un(t,x)都收敛到精确解u(t,x).并且这种迭代方法也可以用来解其它非线性算子方程.
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| 关 键 词： | 大范围收敛 广义Burgers方程 再生核 |
An iterative method for solving the generalized Burgers equation |
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| LI Fu-xiang,CUI Ming-gen.An iterative method for solving the generalized Burgers equation[J].Journal of Natural Science of Heilongjiang University,2009,26(1). |
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| Authors: | LI Fu-xiang CUI Ming-gen |
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| Institution: | 1.Department of Mathematics;Harbin Institute of Technology;Harbin 150001;China;2.Department of Mathematics;Harbin University of Science and Technology;Harbin 150080;China |
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| Abstract: | An iterative method for solving the generalized Burgers equation is obtained in reproducing kernel space W(2,3).It is proved that the approximation solution un(t,x) converges to the exact solution u(t,x).Moreover the method is large-range convergent,namely,un(t,x) converges to the exact solution u(t,x) for any u1(t,x).It is worthy to note that the method can be generalized to solve other nonlinear operator equations. |
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| Keywords: | large-range convergence generalized Burgers equation reproducing kernel |
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