Department of Applied Physics, Tianjin University, Tianjin 300072,
China
Abstract:
We present the new predictor-corrector methods for systems
of nonlinear differential equations, based on the method of exponential time
differencing. We compare the present schemes with the explicit multistep
exponential time differencing and Adams-Bashforth-Moulton method. The
numerical results show that the schemes are more accurate and more efficient
than Adams predictor-corrector method. The exponential time differencing
method has been developed and perfected by the present studies.