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

Figure 5

Figures showing the quantities log(max𝚽^𝑗_𝟎) and log(max𝚽^𝑗_𝟐) for each 𝑡_𝑗, where 𝑡_𝑗∈[0,20], 𝑥₀=0, and 𝑣=0.1 for 𝑥∈[−50,70] for the step lengths Δ𝑥=0.5,Δ𝑥=0.1, and Δ𝑥=0.05.