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

Figure 8

Evolution of initial undular bore (59), where 𝑢₀=0.1, 𝑥₀=0, and 𝛼=2 for Δ𝑡=0.001and 𝑛=2500 on the interval 𝑥∈[−50,500] using the nonstandard finite difference scheme (40).