A wavelet multiscale-homotopy method for the parameter identification problem of partial differential equations

作者：Liu, Tao^*

来源：Computers & Mathematics with Applications, 2016, 71(7): 1519-1523.

DOI：10.1016/j.camwa.2016.02.036

• Inverse problem
• Parameter identification problem
• Partial differential equation
• Wavelet multiscale method
• Homotopy method

By introducing the wavelet multiscale method and the homotopy method to the inversion process for the parameter identification problem of partial differential equations, a joint inversion method called the wavelet multiscale-homotopy method is proposed, which is globally convergent, computationally efficient, and has the anti-noise ability. As a practical problem, the parameter identification problem of the saturation equation in the fractional flow formulation of the two-phase porous media flow equations is solved. Numerical results validate the method's merits.

• 出版日期2016-4
• 单位东北大学