31 Aug
2023
Symmetric fractional order reduction method with 𝐿1 scheme on graded mesh for time fractional nonlocal diffusion-wave equation of Kirchhoff type
Authors :- Pari J. Kundaliya, Sudhakar Chaudhary
Publication :- Computers and Mathematics with applications. Vol 149, Year 2023, Pages 128-134.
In this article, we propose a linearized fully-discrete scheme for solving a time fractional nonlocal diffusion-wave equation of Kirchhoff type. The scheme is established by using the finite element method in space and the L1 scheme in time. We derive the α-robust a priori bound and a priori error estimate for the fully-discrete solution in norm, where is the order of time fractional derivative. Finally, we perform some numerical experiments to verify the theoretical results.