| 波动方程的差分反演模型 |
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| 引用本文： | 王德明.波动方程的差分反演模型[J].应用数学和力学,2008,29(3):325-330. |
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| 作者姓名： | 王德明 |
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| 作者单位： | 哈尔滨工业大学 数学系,哈尔滨 150001 |
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| 摘 要： | 为了反演波动方程的系数函数，利用差分离散及扰动假设，推导出一个适合迭代的数值模型．解决了以往方法中正反演模型数值精度不一致问题，以及由此带来的一系列问题．经数值模拟计算说明，该方法是可行的和有效的．
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| 关 键 词： | 反问题 波动方程 扰动迭代 |
| 文章编号： | 1000-0887（2008）03-0325-06 |
| 收稿时间： | 2007-09-24 |
| 修稿时间： | 2008-01-24 |
Difference Inversion Model of a Wave Equation |
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| WANG De-ming.Difference Inversion Model of a Wave Equation[J].Applied Mathematics and Mechanics,2008,29(3):325-330. |
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| Authors: | WANG De-ming |
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| Institution: | Department of Mathematics, Harbin Institute of Technology, Harbin 150001, P. R. China |
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| Abstract: | For calculating the coefficient function of a wave equation, a numerical iterative model was derived from difference method and a perturbation assumption. The method has solved the disaccordant problem of numerical precision between direct problem model and inverse problem model, and its serial problems, in old method. Numerical simulation calculation shows that the method is feasible and effective. |
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| Keywords: | inverse problem wave equation pertrbation iteration |
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