The Improved Moving Least-Square Ritz Method for the One-Dimensional Sine-Gordon Equation

Figure 2

Error function 𝑢^ℎ(𝑥,𝑡)−𝑢(𝑥,𝑡), where 𝑢(𝑥,𝑡) is an exact solution and numerical solution 𝑢^ℎ(𝑥,𝑡) is obtained by using the IMLS-Ritz method with 𝑑𝑡=0.001 at 𝑡=0.1 (Example 1).