Visualization of Solitary Waves Using a Multistep Predictor-Corrector Algorithm

In this paper, we combine the cubic B-spline Galerkin method with the predictor-corrector method to get the numerical method for solving the RLW equation(RLWE). Thus fully-integration of the RLWE is managed by employing the time integrator of the four step explicit Adams-Bashforth as predictor and the four step implicit Adams-Moulton as corrector and the cubic B-spline Galerkin method for spatial discretization. The performance of this new method is carried out studying the single solitary wave, wave undulation and wave generation and findings of error norm L∞ and numerical conservation laws are compared with exact solutions and those already published.