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Title: A non-polynomial numerical scheme for fourth-order fractional diffusion-wave model
Authors: Li, Xuhao
Wong, Patricia Jia Yiing
Keywords: Engineering::Electrical and electronic engineering
Issue Date: 2018
Source: Li, X. & Wong, P. J. Y. (2018). A non-polynomial numerical scheme for fourth-order fractional diffusion-wave model. Applied Mathematics and Computation, 331, 80-95. doi:10.1016/j.amc.2018.02.044
Journal: Applied Mathematics and Computation
Abstract: In this paper, we tackle the numerical treatment of a fourth-order fractional diffusion-wave problem. By using parametric quintic spline in the spatial dimension and an approximation of Caputo derivatives at half-points, we propose a numerical scheme and rigorously prove its solvability, convergence and stability in maximum norm. It is shown that the theoretical convergence order improves those of earlier work. To confirm, simulation is carried out to demonstrate the numerical efficiency of the proposed scheme as well as the better performance over other methods.
ISSN: 0096-3003
DOI: 10.1016/j.amc.2018.02.044
Rights: © 2018 Elsevier Inc. All rights reserved.
Fulltext Permission: none
Fulltext Availability: No Fulltext
Appears in Collections:EEE Journal Articles

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