NUMERICAL SOLUTIONS OF NONLINEAR DIFFUSION PROBLEMS WITH CONVECTIVE TRANSFER

Аннотация

Nonlinear diffusion problems coupled with convective (advection) transport arise in many physical and engineering systems such as heat and mass transfer, environmental flows, and reactive transport in porous media. These problems are modeled using partial differential equations (PDEs) that include nonlinear diffusion terms and advection terms, making analytical solutions difficult or impossible. Therefore, robust and accurate numerical methods are necessary to analyze such systems.