Improved uniform error bounds of exponential wave integrator method for long-time dynamics of the space fractional Klein-Gordon equation with weak nonlinearity

Junqing Jia, Xiaoyun Jiang

An improved uniform error bound at $O\left(h^m+{\epsilon }^2{\tau }^2\right)$ is established in $H^{\alpha /2}$-norm for the long-time dynamics of the nonlinear space fractional Klein-Gordon…