A Fast and Efficient Numerical Algorithm for the Nonlocal Conservative Swift–Hohenberg Equation

Table 1

Convergence rate with and different M for Problem 1 at .

		10	20	40	80	160
ϵ = 0.05; η = 0.05		8.14e − 5	1.78e − 5	4.18e − 6	1.01e − 6	2.49e − 7
		—	2.19	2.09	2.05	2.02
		1.30e − 3	2.95e − 4	7.04e − 5	1.72e − 5	4.25e − 6
		—	2.14	2.07	2.03	2.02
ϵ = 0.25; η = 2		4.61e − 3	1.10e − 3	2.66e − 4	6.52e − 5	1.62e − 5
		—	2.07	2.05	2.03	2.01
		3.69e − 2	9.16e − 3	2.27e − 3	5.63e − 4	1.40e − 4
		—	2.01	2.01	2.01	2.01
ϵ = 0.5; η = 0.5		1.25e − 4	3.30e − 5	8.43e − 6	2.13e − 6	5.34e − 7
		—	1.92	1.97	1.99	1.99
		1.78e − 3	4.23e − 4	1.03e − 4	2.54e − 5	6.32e − 6
		—	2.08	2.04	2.02	2.01