[01090] A high order approximation scheme for non-linear time fractional reaction-diffusion equation
Session Time & Room : 3D (Aug.23, 15:30-17:10) @G402
Type : Contributed Talk
Abstract : We discuss a high order numerical scheme for the non-linear time fractional reaction-diffusion equation of order $\alpha\in (0, 1)$. A cubic approximation and compact finite difference schemes are used to approximate the time-fractional and spatial derivatives respectively. The numerical scheme achieves convergence rate of order $4-\alpha$ in the temporal direction and $4$ in the spatial direction. Further, numerical experimentation is performed to demonstrate the authenticity of the proposed numerical scheme.
