An Explicit Time-Difference Scheme with an Adams-Bashforth Predictor and a Trapezoidal Corrector

A new predictor-corrector time-difference scheme that employs a second-order Adams-Bashforth scheme for the predictor and a trapezoidal scheme for the corrector is introduced. The von Neumann stability properties of the proposed Adams-Bashforth trapezoidal scheme are determined for the oscillation and friction equations. Effectiveness of the scheme is demonstrated through a number of time integrations using finite-difference numerical models of varying complexities in one and two spatial dimensions. The proposed scheme has useful implications for the fully-implicit schemes currently employed in some semi-Lagrangian numerical models of the atmosphere.