Efficient NURBS-based Isogeometric Analysis for Nonlinear Advection-Diffusion-Reaction Systems with Analytical Solutions

The authors propose an efficient NURBS-based isogeometric analysis (IgA) combined with a second-order Strang operator splitting to solve nonlinear coupled advection-diffusion-reaction systems. The advection part is treated using a semi-Lagrangian approach, while the resulting diffusion-reaction equations are solved using an efficient time-stepping algorithm based on operator splitting.