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Title: Non-polynomial spline approach in two-dimensional fractional sub-diffusion problems
Authors: Li, Xuhao
Wong, Patricia Jia Yiing
Keywords: Engineering::Electrical and electronic engineering
Issue Date: 2019
Source: Li, X. & Wong, P. J. Y. (2019). Non-polynomial spline approach in two-dimensional fractional sub-diffusion problems. Applied Mathematics and Computation, 357, 222-242.
Journal: Applied Mathematics and Computation
Abstract: In this paper, we propose a new numerical scheme for two-dimensional fractional sub-diffusion problems using non-polynomial spline. The solvability, stability and convergence of the proposed method are established using the well known discrete energy methodology. It is shown that the spatial convergence order is at least 4.5 which improves the best result achieved to date. We also carry out simulation to demonstrate the accuracy and efficiency of the proposed scheme and to compare with other methods.
ISSN: 0096-3003
DOI: 10.1016/j.amc.2019.03.045
Rights: © 2019 Elsevier Inc. All rights reserved.
Fulltext Permission: none
Fulltext Availability: No Fulltext
Appears in Collections:EEE Journal Articles

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