Research Article

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

Table 7

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

SpaceΔ Δ Δ Order Order
(0.1/0.2)(0.2/0.4)

20.920780 × 10−43.689931 × 10−41.480253 × 10−32.00272.0042
41.512530 × 10−46.055462 × 10−42.430139 × 10−32.00122.0047
61.956752 × 10−47.811765 × 10−43.126531 × 10−31.99722.0008
82.368004 × 10−49.454389 × 10−43.768796 × 10−31.99731.9950
102.766940 × 10−41.104758 × 10−34.416067 × 10−31.99741.9990