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On the stability analysis of the time-fractional variable order Klein-Gordon equation and a numerical simulation

DENİZ, Sinan Bereketoğlu,Hüseyin

Communications Series A1 Mathematics & Statistics, 2020-05, Vol.69 (1), p.981-992 [Peer Reviewed Journal]

Ankara Üniversitesi Fen Fakültesi

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  • Title:
    On the stability analysis of the time-fractional variable order Klein-Gordon equation and a numerical simulation
  • Author: DENİZ, Sinan
  • Bereketoğlu,Hüseyin
  • Subjects: Matematik
  • Is Part Of: Communications Series A1 Mathematics & Statistics, 2020-05, Vol.69 (1), p.981-992
  • Description: 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 modified Klein- Gordon equa- tion. Stability analysis of the Crank-Nicholson scheme is examined and ana- lyzed to prove the proposed method is stable for solving the time-fractional variable order Klein- Gordon equation. Numerical examples are also given for illustration.
  • Publisher: Ankara Üniversitesi Fen Fakültesi
  • Language: English
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