A Fully Implicit Finite Difference Scheme for the Regularized Long Wave Equation

In the present paper a numerical solution of the regularized long wave (RLW) equation with a fully implicit finite difference method is deduced. Numerical results for different particular cases of the problem are presented. Comparisons are made with published numerical and analytical solutions. The accuracy of the numerical solutions showed that the present method is well suited for the solution of the RLW equation.