2020
DOI: 10.31801/cfsuasmas.450209
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On the stability analysis of the time-fractional variable order Klein-Gordon equation and a numerical simulation

Abstract: In this paper, the Klein-Gordon equation is generalized using the concept of the variational order derivative. We try to construct the Crank-Nicholson scheme for numerical solutions of the modi…ed Klein-Gordon equation. Stability analysis of the Crank-Nicholson scheme is examined and analyzed to prove the proposed method is stable for solving the time-fractional variable order Klein-Gordon equation. Numerical examples are also given for illustration.

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Cited by 2 publications
(1 citation statement)
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“…Other works can also be counted as in [11][12][13][14][15]. In addition to all these articles, readers are advised to read the works in [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35].…”
Section: Introductionmentioning
confidence: 99%
“…Other works can also be counted as in [11][12][13][14][15]. In addition to all these articles, readers are advised to read the works in [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35].…”
Section: Introductionmentioning
confidence: 99%