A New Alternating Segment Crank-Nicolson Scheme for the Fourth-Order Parabolic Equation

Table 3

The errors of numerical solution at 𝑀=201,𝑟₁=83.78, and 𝑡 = 0.1.

𝑟	Errors	𝑗=40	𝑗=80	𝑗=100	𝑗=120	𝑗=160
𝑟=𝑟1	Ae(10^−5)	3.59751	5.83410	6.18043	5.86366	3.67502
	Re(10^−3)	7.50788	7.50789	7.54902	7.50791	7.50797
𝑟=2𝑟1	Ae(10^−4)	1.36830	2.21899	2.35153	2.23023	1.39779
	Re(10^−2)	2.85560	2.85561	2.87226	2.85562	2.85565
𝑟=5𝑟1	Ae(10^−4)	4.63372	7.51450	7.98790	7.55253	4.73342
	Re(10^−2)	9.67041	9.67040	9.75675	9.67036	9.67027
𝑟=10𝑟1	Ae(10^−3)	1.01018	1.63820	1.74819	1.64647	1.03187
	Re(10^−1)	2.10822	2.10820	2.13531	2.10817	2.10808
Exact	(10^−1)	4.79165	7.77062	8.18706	7.80998	4.89482