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DENİZ, Sinan
Communications Series A1 Mathematics & Statistics, 05/2020, Letnik: 69, Številka: 1Journal Article
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.
