| 二维椭圆方程参数反问题的一种数值解法 |
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| 引用本文： | 赵迁贵. 二维椭圆方程参数反问题的一种数值解法[J]. 高校应用数学学报(A辑), 1991, 6(1): 87-95 |
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| 作者姓名： | 赵迁贵 |
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| 作者单位： | 中国矿业大学应用数学系 221008 |
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| 摘 要： | 本文研究了识别二维椭圆型偏微分方程中参数A(x)和B(y)的反问题:的数值解法。用GPST方法给出了数值计算迭代格式,其中对涉及到的第一类Fredholm积分方程的离散线性代数方程组采用ART算法。最后本文给出了数值模拟结果。
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| 关 键 词： | 椭圆型方程 反问题 数值解法 |
A NUMERICAL ALGORITHM FOR SOLVING THE INVERSE PROBLEMS OF DETERMING THE UNKNOWN COEFFICIENTS IN A TWO-DIMENSIONAL ELLIPTIC EQUATION |
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| Zhao Qiangui. A NUMERICAL ALGORITHM FOR SOLVING THE INVERSE PROBLEMS OF DETERMING THE UNKNOWN COEFFICIENTS IN A TWO-DIMENSIONAL ELLIPTIC EQUATION[J]. Applied Mathematics A Journal of Chinese Universities, 1991, 6(1): 87-95 |
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| Authors: | Zhao Qiangui |
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| Affiliation: | China University of Mining and Technology |
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| Abstract: | In this paper, we give an iterative algorithm for solving the invers problems of determing the unknown coefficients A(x),B(y) in the elliptic equationby using the GPST method, and solve linear algebra equations of Fredholm integral equations of the first kind by ART method. Results of numercal experiments are also given. |
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| Keywords: | inverse problem elliptic equation GPST(generalized pulse-spectrum technique). |
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