| 二维抛物型方程反问题的数值解法 |
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| 引用本文： | 叶人珍,卢孝强. 二维抛物型方程反问题的数值解法[J]. 南昌大学学报(理科版), 2005, 29(5): 439-442 |
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| 作者姓名： | 叶人珍 卢孝强 |
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| 作者单位： | 1. 华中农业大学,信息与计算科学系,湖北,武汉,430070
2. 乐山师范学院,四川,乐山,614004 |
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| 摘 要： | 用遗传程序设计反演二维抛物型方程右端函数模型并在求解右端函数的适应值评价中我们采用正则化来解决反演中的不适定问题。数值实验结果表明采用此算法为高维的抛物型方程的反演问题提供了一种崭新的实用方法。
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| 关 键 词： | 遗传程序设计 抛物型方程 反问题 正则化 |
| 文章编号： | 1006-0464（2005）05-0439-04 |
| 收稿时间： | 2004-11-22 |
| 修稿时间： | 2004-11-22 |
THE NUMERICAL SOLUTION OF TWO-DIMENSIONAL PARABOLIC EQUATIONS INVERSE PROBLEMS |
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| YE Ren-zhen,LU Xiao-qiang. THE NUMERICAL SOLUTION OF TWO-DIMENSIONAL PARABOLIC EQUATIONS INVERSE PROBLEMS[J]. Journal of Nanchang University(Natural Science), 2005, 29(5): 439-442 |
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| Authors: | YE Ren-zhen LU Xiao-qiang |
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| Abstract: | This paper emploied GP(Genetic Program) to identify and built the model of right-side function of parabolic equations and adopt regularization method to solute its intrinsic ill-posed problem.The numerical results demonstrated that the proposed method has the potential to solve a wide range of inverse problem of partial differential equations |
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| Keywords: | genetic program parabolic equations inverse problem regularization |
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