[01573] A novel robust adaptive algorithm for time fractional diffusion wave equation on non-uniform meshes
Session Time & Room : 3E (Aug.23, 17:40-19:20) @E711
Type : Contributed Talk
Abstract : In this work, a novel high-order adaptive algorithm on non-uniform grid points for the Caputo fractional derivative is derived. Developed algorithm allows one to build adaptive nature where numerical scheme is adjusted according to behavior of $\alpha$ to keep errors very small and converge to solution very fast. Analysis of numerical scheme has been established thoroughly. Moreover, a reduced order technique is implemented by using moving mesh refinement to improve accuracy at several time levels.
