Laguerre wavelets collocation method for the numerical solution of the Benjamina–Bona–Mohany equations

In this paper, a new approach for the accurate numerical solution of the Benjamin–Bona–Mahony (BBM) equations with the initial and boundary conditions using Laguerre wavelets is presented. This method is based on the truncated Laguerre wavelet expansions used to convert the initial and boundary value problems into systems of algebraic equations which can be efficiently solved by suitable solvers. Illustrative examples are included to demonstrate the validity and applicability of the technique. Numerical results show the efficiency and accuracy of the present method.