波动方程的差分反演模型

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Difference Inversion Model of a Wave Equation

Department of Mathematics, Harbin Institute of Technology, Harbin 150001, P. R. China

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．
- 反问题 /
- 波动方程 /
- 扰动迭代
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.
- inverse problem /
- wave equation /
- perturbation iteration

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