Conservative Difference Scheme for Generalized Rosenau-KdV Equation

Table 1

The error at various time step.

	𝜏=ℎ=0.25		𝜏=ℎ=0.125		𝜏=ℎ=0.0625
	𝑝=3	𝑝=5	𝑝=3	𝑝=5	𝑝=3	𝑝=5
𝑡=10	2.53343𝑒−3	3.43739𝑒−3	6.35973𝑒−4	8.64177𝑒−4	1.59182𝑒−4	2.16316𝑒−4
𝑡=20	4.40914𝑒−3	6.31248𝑒−3	1.10927𝑒−3	1.58976𝑒−3	2.77703𝑒−4	3.98160𝑒−4
𝑡=30	6.03109𝑒−3	9.13274𝑒−3	1.51828𝑒−3	2.30402𝑒−3	3.80216𝑒−4	5.77288𝑒−4
𝑡=40	7.53941𝑒−3	1.20204𝑒−2	1.89987𝑒−3	3.03743𝑒−3	4.75848𝑒−4	7.61418𝑒−4