Trajectory-Based RBF Collocation Method via Closest-Point Embedding for Surface Advection-Diffusion Equations

Xiaobin Li, Leevan Ling, Yizhong Sun

We introduce a Trajectory-Based RBF Collocation (TBRBF) method for solving surface advection-diffusion equations on smooth, compact manifolds. TBRBF decouples advection and diffusi…