A predictor-corrector scheme for the improved Boussinesq equation

An implicit finite-difference method based oil rational approximants of second order to the matrix-exponential term in a three-time level recurrence relation has been proposed for the numerical solution of the improved Boussinesq equation already known from the bibliography. The method, which is analyzed for local truncation error and stability, leads to file solution of a nonlinear system. To overcome this difficulty a predictor-corrector (P-C) scheme ill which the predictor is also a second order implicit one is proposed. The efficiency of the proposed method is tested to various wave packets and the results arising from file experiments are compared with file relevant ones known in file bibliography. (C) 2007 Elsevier Ltd. All rights reserved.