Difference Inversion Model of a Wave Equation
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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.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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Key words:
- inverse problem /
- wave equation /
- perturbation iteration
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[1] Chen Y M,Tsien D S.A numerical algorithm for romote sensing of density profiles of simple ocean model by acoustic pulses[J].J Comput Phys,1997,25(1):366-385. [2] 王德明, 盖秉政.结构刚度函数识别的一个途径[J].应用数学和力学,26(12):1453-1458. [3] Phillips D L. A technique for the numerical solution of certain integral equations of the first kind[J].J Assoc Comput Math,1962,9(1):84-97. doi: 10.1145/321105.321114 [4] Twomey S. On the numerical solution of Fredholm integral equations of the first kind by the inversion of the linear systems produced by quadrature[J].J Assoc Comput Math,1963,10(1):97-101. doi: 10.1145/321150.321157 [5] 王德明.稳定求解第一类Fredholm积分方程的一个方法[J].同济大学学报(自然科学版),2006,34(10):1414-1416.
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