Crank-Nicolson Fully Discrete 𝐻¹-Galerkin Mixed Finite Element Approximation of One Nonlinear Integrodifferential Model

Table 1

The errors of ‖𝑢^𝐽−𝑈^𝐽‖ at different time.

ℎ=𝜏	Time
	𝑡=0.2		𝑡=0.4		𝑡=0.6		𝑡=0.8
	Error	Order	Error	Order	Error	Order	Error	Order
1/20	1.0174𝑒−004	∖	1.1819𝑒−004	∖	1.2690𝑒−004	∖	1.2445𝑒−004	∖
1/40	2.5472𝑒−005	1.9979	2.9553𝑒−005	1.9997	3.1723𝑒−005	2.0001	3.1112𝑒−005	2.0000
1/80	6.3711𝑒−006	1.9993	7.3900𝑒−006	1.9997	7.9329𝑒−006	1.9996	7.7813𝑒−006	1.9994