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

Table 2

The errors of ‖𝑢^𝐽_𝑥−𝑈^𝐽_𝑥‖ 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	0.0020	∖	0.0024	∖	0.0025	∖	0.0025	∖
1/40	0.0010	1.0000	0.0012	1.0000	0.0013	0.9434	0.0012	1.0589
1/80	5.0969𝑒−04	0.9723	5.9120𝑒−04	1.0213	6.3463𝑒−04	1.0345	6.2251𝑒−04	0.9469