Analysis shows the effectiveness of a cubic B‐spline method for solitary wave propagation in RLWE, implying improved numerical solutions.
A new variant of least squares algorithm is introduced for obtaining numerical solutions of the regularized long wave equation (RLWE). The Crank‐Nicolson method and the least squares method (LSM) are combined to integrate the RLWE in both time and space, respectively. The approximation function for the LSM is a sum of weighted cubic trigonometric B‐splines (CTB‐splines). Minimization of the Galerkin form of the least squares approach has been carried out using the time weight of the CTB‐spline approximation. The propagation of solitary wave solutions and wave undulation are studied to assess the effectiveness of the suggested algorithm.
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Dağ et al. (2025) studied this question.
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