Year: 2015
East Asian Journal on Applied Mathematics, Vol. 5 (2015), Iss. 1 : pp. 1–28
Abstract
Some efficient numerical schemes are proposed to solve one-dimensional and two-dimensional multi-term time fractional diffusion-wave equation, by combining the compact difference approach for the spatial discretisation and an $L1$ approximation for the multi-term time Caputo fractional derivatives. The unconditional stability and global convergence of these schemes are proved rigorously, and several applications testify to their efficiency and confirm the orders of convergence.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.080714.031114a
East Asian Journal on Applied Mathematics, Vol. 5 (2015), Iss. 1 : pp. 1–28
Published online: 2015-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 28
Keywords: Multi-term time fractional diffusion-wave equation compact difference scheme discrete energy method convergence.