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- Title
THE NUMERICAL SOLUTION OF THE TIME-FRACTIONAL NON-LINEAR KLEIN-GORDON EQUATION VIA SPECTRAL COLLOCATION METHOD.
- Authors
Yin YANG; Xingfa YANG; Jindi WANG; Jie LIU
- Abstract
In this paper, we consider the numerical solution of the time-fractional non-linear Klein-Gordon equation. We propose a spectral collocation method in both temporal and spatial discretizations with a spectral expansion of Jacobi interpolation polynomial for this equation. A rigorous error analysis is provided for the spectral methods to show both the errors of approximate solutions and the errors of approximate derivatives of the solutions decaying exponentially in infinity-norm and weighted L2-norm. Numerical tests are carried out to confirm the theoretical results.
- Subjects
COLLOCATION methods; KLEIN-Gordon equation
- Publication
Thermal Science, 2019, Vol 23, Issue 3, p1529
- ISSN
0354-9836
- Publication type
Article
- DOI
10.2298/TSCI180824220Y