A Modified Equation Approach to Selecting a Nonstandard Finite Difference Scheme Applied to the Regularized Long Wave Equation

Figure 2

Plot comparing the behaviour of the modified equations obtained for the nonstandard approximation (21) (−−−) and the nonstandard approximation (24) (solid line) to the nonlinear term in the RLW equation after substituting the single solitary wave solution to the RLW equation (8) with (23) and (27) taking 𝑣=0.1 and 𝑥₀=0.