WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 25, 2026
Visualization of Solitary Waves Using a Multistep Predictor-Corrector Algorithm
Authors: , ,
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Abstract: 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.
Keywords:
Multistep predictor-corrector method, Adams-Bashforth-Moulton method, RLW equation, single solitary wave, wave undulation, wave generation
Pages: 501-509
DOI: 10.37394/23206.2026.25.46