A Homotopy Method for the Constrained Inverse Problem in the Multiphase Porous Media Flow
Tao Liu, Kaiwen Xia, Yuanjin Zheng, Yanxiong Yang, Ruofeng Qiu, Yunfei Qi, Chao Liu
Abstract
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.
Topics & Concepts
Homotopy analysis methodPorous mediumConvergence (economics)InverseHomotopyMathematicsApplied mathematicsInverse problemFlow (mathematics)Nonlinear systemMathematical optimizationComputer scienceMathematical analysisPorosityPhysicsMaterials scienceGeometryPure mathematicsComposite materialEconomicsEconomic growthQuantum mechanicsAdvanced Mathematical Modeling in EngineeringNumerical methods in inverse problemsDam Engineering and Safety