Research Article

A Galerkin Finite Element Method for Numerical Solutions of the Modified Regularized Long Wave Equation

Table 9

The order of convergence in time for error norm with and .

TimeΔ Δ Δ Order Order
(2.0/1.0)(1.0/0.5)

2 2.528470 × 10−32.505105 × 10−43.653213 3.335322
4 4.159059 × 10−34.456332 × 10−43.584155 3.222328
6 5.587773 × 10−35.905399 × 10−43.411531 3.242167
8 7.106547 × 10−37.270440 × 10−43.173611 3.289034
10 8.861734 × 10−38.671150 × 10−42.899376 3.353294