Numerical algorithm for two-dimensional time-fractional wave equation of distributed-order with a nonlinear source term
Numerical Analysis
2017-04-11 v1
Abstract
In this paper, an alternating direction implicit (ADI) difference scheme for two-dimensional time-fractional wave equation of distributed-order with a nonlinear source term is presented. The unique solvability of the difference solution is discussed, and the unconditional stability and convergence order of the numerical scheme are analysed. Finally, numerical experiments are carried out to verify the effectiveness and accuracy of the algorithm.
Cite
@article{arxiv.1704.02720,
title = {Numerical algorithm for two-dimensional time-fractional wave equation of distributed-order with a nonlinear source term},
author = {Jiahui Hu and Jungang Wang and Zhanbin Yuan and Zongze Yang and Yufeng Nie},
journal= {arXiv preprint arXiv:1704.02720},
year = {2017}
}
Comments
25 pages, 3 figures