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Difference inversion model of wave equation

Difference inversion model of wave equation
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摘要 A numerical iterative model was derived from the difference method and a perturbation assumption to calculate the coefficient function of a wave equation. The method was used to solve the disaccord problem of numerical precision between the direct problem model and inverse problem model, and its serial problems using the old method. Numerical simulation calculation shows that the method is feasible and effective. A numerical iterative model was derived from the difference method and a perturbation assumption to calculate the coefficient function of a wave equation. The method was used to solve the disaccord problem of numerical precision between the direct problem model and inverse problem model, and its serial problems using the old method. Numerical simulation calculation shows that the method is feasible and effective.
作者 王德明
机构地区 Department of Mathematics
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2008年第3期361-366,共6页 应用数学和力学（英文版）
关键词 inverse problem wave equation perturbation iteration inverse problem, wave equation, perturbation iteration
分类号 O241.8 [理学—计算数学]
  • 相关文献

参考文献7

  • 1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. 被引量：5
  • 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,2005,26(12):1453-1458. 被引量：3
  • 3WANG De-ming~1,GAI Bing-zheng~2(1.Department of Mathematics,Harbin Institute of Technology,Harbin 150001,P.R.China,2.Department of Spaceflight Engineering and Mechanics,Harbin Institute of Technology,Harbin 150001,P.R.China).Way to Determine the Stiffness Function of Structure[].Journal of Applied Mathematics.2005
  • 4Phillips D L.A technique for the numerical solution of certain integral equations of the first kind[].The Journal of The American Medical Association.1962
  • 5Twomey S.On the numerical solution of Fredholm integral equations of the first kind by the inversion of the linear system produced by quadrature[].The Journal of The American Medical Association.1963
  • 6WANG Deming(Department of Mathematics,Harbin Institute of Technology,Harbin 150006,China).A Stable Method for Calculating Fredholm Integral Equation of First Kind[].Journal of Tongji University(Natural Science).2006
  • 7Y. M. Chen and D. S. Tsien.A numerical algorithm for remote sensing of density profiles of a simple ocean model by acoustic pulses[].Journal of Computational Physics.1977

二级参考文献6

  • 1王德明 刘家琦 黄文虎.适用于结构故障诊断中的微分方程反问题方法[J].振动与冲击,1986,(3):19-27.
  • 2Phillips D L.A technique for the numerical solution of certain integral equations of the first kind[J].J ACM,1962,(9):84-97.
  • 3Tikhonv A N,Arenin V Y.Solutions of Ill-Posed Problems[M].New York: John Wiley & Sons,1977.
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  • 6沈云中,许厚泽.基于积分方程正则化的重力异常超定问题解法[J].同济大学学报（自然科学版）,2002,30(11):1337-1341. 被引量：2

共引文献5

Applied Mathematics and Mechanics(English Edition)
2008年 第3期

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