- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 69 Issue: 1
- On the stability analysis of the time-fractional variable order Klein-Gordon equation and a numerica...
On the stability analysis of the time-fractional variable order Klein-Gordon equation and a numerical simulation
Authors : Sinan Deniz
Pages : 981-992
Doi:10.31801/cfsuasmas.450209
View : 7 | Download : 7
Publication Date : 2020-06-30
Article Type : Research
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 modified 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. A numerical example is also given for illustration.Keywords : Klein-Gordon equation, fractional variable order derivative, Crank-Nicholson scheme