[01588] Stable numerical schemes and adaptive algorithms for fractional diffusion-wave equation
Session Time & Room : 3E (Aug.23, 17:40-19:20) @E603
Type : Contributed Talk
Abstract : This work develops a stable scheme and adaptive algorithm for time-fractional mathematical models. 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.