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arXiv · 1704.02720

Numerical algorithm for two-dimensional time-fractional wave equation of distributed-order with a nonlinear source term

Jiahui Hu·Jungang Wang·Zhanbin Yuan·Zongze Yang·Yufeng Nie
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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.

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Jiahui Hu, Jungang Wang, Zhanbin Yuan, Zongze Yang, Yufeng Nie. 2017-04-10. Numerical algorithm for two-dimensional time-fractional wave equation of distributed-order with a nonlinear source term. https://arxiv.org/abs/1704.02720

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