A Homotopy Method for the Constrained Inverse Problem in the Multiphase Porous Media Flow

This paper considers the constrained inverse problem based on the nonlinear convection-diffusion equation in the multiphase porous media flow. To solve this problem, a widely convergent homotopy method is introduced and proposed. To evaluate the performance of the mentioned method, two numerical examples are presented. This method turns out to have wide convergence region and strong anti-noise ability.

Automated summary

This paper investigates the constrained inverse problem based on the nonlinear convection-diffusion equation in multiphase porous media flow, introducing a widely convergent homotopy method to solve it. Two numerical examples demonstrate the method's wide convergence region and strong anti-noise ability.