A Linearised Three-Point Combined Compact Difference Method with Weighted Approximation for Nonlinear Time Fractional Klein-Gordon Equations
Year: 2021
Author: Chunhua Zhang, Haiwei Sun
East Asian Journal on Applied Mathematics, Vol. 11 (2021), Iss. 3 : pp. 604–617
Abstract
A numerical method for nonlinear time fractional Klein-Gordon equations is studied. Discretising spatial and temporal variables by a combined compact difference and a weighted approximation, respectively, we develop a linearised method for the equations under consideration. It has at least sixth-order accuracy in space and second-order accuracy in time. Numerical examples demonstrate the effectiveness and accuracy of the method.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.271120.310321
East Asian Journal on Applied Mathematics, Vol. 11 (2021), Iss. 3 : pp. 604–617
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Combined compact difference method finite difference method nonlinear time fractional Klein-Gordon equation.