On the stability and convergence of the time-fractional variable order telegraph equation

作者：Atangana Abdon^*

来源：Journal of Computational Physics, 2015, 293: 104-114.

DOI：10.1016/j.jcp.2014.12.043

• Telegraph equation
• Fractional variable order derivative
• Crank-Nicholson scheme
• Stability
• Convergence

In this work, we have generalized the time-fractional telegraph equation using the concept of derivative of fractional variable order. The generalized equation is called time-fractional variable order telegraph equation. This new equation was solved numerically via the Crank-Nicholson scheme. Stability and convergence of the numerical solution were presented in details. Numerical simulations of the approximate solution of the time-fractional variable order telegraph equation were presented for different values of the grid point.

• 出版日期2015-7-15