| 改进的变分迭代法求解一个抛物型方程的反问题 |
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| 引用本文： | 刘素蓉,刘婉珍. 改进的变分迭代法求解一个抛物型方程的反问题[J]. 吉林建筑工程学院学报, 2009, 26(4): 97-100 |
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| 作者姓名： | 刘素蓉 刘婉珍 |
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| 作者单位： | 湖南信息职业技术学院,望城,410200;长沙职业技术学院,长沙,410011 |
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| 摘 要： | 变分迭代法已被应用于求解一类含有未知参数线性抛物型方程的反问题中,它通过Lagrange乘子求得未知参量的精确值．笔者将变分迭代法做出改进再应用于抛物型方程反问题中,且可以快速得到收敛于反问题精确解的收敛序列,从而得到精确解．为了说明该方法的有效性,笔者给出2个实例．
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| 关 键 词： | 改进的变分迭代法 抛物型方程反问题 Lagrange乘子 |
Application of the Modified Iteration Method for Solving the Inverse Parabolic Equations |
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| LIU Su-rong,LIU Wan-zhen. Application of the Modified Iteration Method for Solving the Inverse Parabolic Equations[J]. Journal of Jilin Architectural and Civil Engineering, 2009, 26(4): 97-100 |
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| Authors: | LIU Su-rong LIU Wan-zhen |
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| Affiliation: | 1 ： Hunan College of Information, Wangcheng, China 410200 2 ： Changsha Vocational Technical College, Changsha, China 410011 ) |
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| Abstract: | This paper will discuss the modified variational iteration method for solving the inverse parabolic problem, through the simple calculation we have the solution of the equation, comparing with the Adomian＇s decomposition method, it reveals that the modified iteration method is better than the later one. |
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| Keywords: | the modified variational iteration method ： convergence solution inverse parabolic problem Lagrange multiplicator |
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