High-order difference scheme for the solution of linear time fractional Klein-Gordon equation

In this article, we apply a high-order difference scheme for the solution of time fractional Klein-Gordon equation. The time fractional derivative which has been described in the Caputo sense is approximated by a scheme of order O(_T^ 3 - a) 1 < a < 2, and the space derivative is discretized with a sixth-order compact procedure. Numerical example shows the effectiveness and the spatial higher-order accuracy of the proposed scheme.