A time-spectral algorithm for fractional wave problems
Provides a novel algorithm for solving fractional wave problems with high accuracy, benefiting researchers in computational mathematics and physics.
The paper develops a high-accuracy algorithm for time fractional wave problems using a spectral method in time and finite element method in space, achieving exponential decay in temporal discretization error for smooth solutions.
This paper develops a high-accuracy algorithm for time fractional wave problems, which employs a spectral method in the temporal discretization and a finite element method in the spatial discretization. Moreover, stability and convergence of this algorithm are derived, and numerical experiments are performed, demonstrating the exponential decay in the temporal discretization error provided the solution is sufficiently smooth.