A Compact-Type CIP Method for General Korteweg-de Vries Equation

Figure 3

Numerical and analytical solutions for equation 𝑢_𝑡+6𝑢𝑢_𝑥+𝑢_𝑥𝑥𝑥=0 with initial condition 𝑢(𝑥,0)=(𝑐/2)sech²((√𝑐/2)𝑥−7),0≤𝑥≤40,𝑐=0.5 of Example 3 at various time stages and the absolute error for 𝑡=3.