| 改进的变分迭代法在多维抛物型方程反问题中的应用 |
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| 引用本文： | 刘素蓉,刘婉珍.改进的变分迭代法在多维抛物型方程反问题中的应用[J].怀化学院学报,2009,28(8):102-104. |
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| 作者姓名： | 刘素蓉 刘婉珍 |
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| 作者单位： | 1. 湖南信息职业技术学院,基础部,湖南,望城,410200
2. 长沙职业技术学院基础部,湖南,长沙,410011 |
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| 摘 要： | 将改进的变分迭代法的应用范围加以推广,使其应用于多维抛物型方程反问题中.它通过Lagrange乘子进行简便计算求得未知参量的精确值,再应用于多维抛物型方程反问题中,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.同时,通过与Adomian's分裂法结果比较可知前者比分裂法更好.
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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 Multidimentional Inverse Parabolic Equations |
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| LIU Su-rong,LIU Wan-zhen.Application of the Modified Iteration Method for Solving the Multidimentional Inverse Parabolic Equations[J].Journal of Huaihua University,2009,28(8):102-104. |
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| Authors: | LIU Su-rong LIU Wan-zhen |
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| Institution: | 1.Hunan College of Information;Wangcheng;Hunan 410200;2.Changsha Vocational Technical College;Changsha;Hunan 410011 |
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| Abstract: | This paper discusses the modified vatiational iteration method for solving the multidimentional 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 vatiational iteration method convergence solution inverse parabolic problem |
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