A Compact Difference Scheme for Fourth-Order Temporal Multi-Term Fractional Wave Equations and Maximum Error Estimates
Year: 2019
Author: Guang-Hua Gao, Rui Liu
East Asian Journal on Applied Mathematics, Vol. 9 (2019), Iss. 4 : pp. 703–722
Abstract
A spatial compact difference scheme for a class of fourth-order temporal multi-term fractional wave equations is developed. The original problem is reduced to a lower order system and the corresponding time fractional derivatives are approximated by the $L$1-formula. The unconditional stability and convergence of the difference scheme are proved by the energy method. Numerical experiments support theoretical results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.171118.060119
East Asian Journal on Applied Mathematics, Vol. 9 (2019), Iss. 4 : pp. 703–722
Published online: 2019-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: Compact difference scheme multi-term fractional derivatives spatial fourth-order derivative stability convergence.
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