| 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： | 张钟德,刘素蓉,高鸿.变分迭代法在多维抛物型方程反问题中的应用[J].南京工程学院学报(自然科学版),2009,7(1):7-11. |
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| 作者姓名： | 张钟德 刘素蓉 高鸿 |
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| 作者单位： | 湖南信息职业技术学院,湖南,长沙,410200 |
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| 摘 要： | 通过抛物型方程反问题：ut=Δu＋p（t）u＋（x,t）,x∈,Ωt∈（0,T）,ΩRn的求解,阐述了变分迭代法在多维抛物型方程中的应用原理,变分迭代法在二维、三维抛物型方程的应用充分显示了对求一系列精确解具有很快的收敛速度,变分迭代法的应用范围更加广泛.
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| 关 键 词： | 变分迭代法 抛物型方程反问题 Lagrange乘子 |
Application of Variational Iteration Method to Multi-dimensional Parabolic Inverse Problems |
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| Zhang Zhong-de,Liu Su-rong,GAO Hong.Application of Variational Iteration Method to Multi-dimensional Parabolic Inverse Problems[J].Journal of Nanjing Institute of Technology :Natural Science Edition,2009,7(1):7-11. |
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| Authors: | Zhang Zhong-de Liu Su-rong GAO Hong |
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| Institution: | Dept.of Basic Courses;Hunan College of Information;Changsha;410200;China |
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| Abstract: | This paper discusses the applying principle of variational iteration method to multi-dimensional parabolic equation based on the solution to the parabolic equation inverse problem： ut=Δu＋p（t）u＋（x,t）,x∈,Ωt∈（0,T）,ΩRn. The applications of variational iteration method to two-dimensional and three-dimensional parabolic equations show that the method is able to work out a series of exact solutions with a quick convergence rate, indicating that the method can be widely used. |
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| Keywords: | variational iteration method parabolic equation inverse problem Lagrange multiplier |
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