Optimal Rate of Convergence for a Nonstandard Finite Difference Galerkin Method Applied to Wave Equation Problems

Table 2

SFD method error in both 𝐿² and 𝐻¹-norms.

𝑀	𝐿^2-error	𝐻^1-error	Rate 𝐿^2	Rate 𝐻^1
10	3.400𝐸−3	1.700𝐸−2
15	1.700𝐸−3	1.130𝐸−2	1.709	1.007
20	1.050𝐸−3	8.500𝐸−3	1.674	0.989
25	1.600𝐸−3	6.800𝐸−3	1.887	1.000
50	5.170𝐸−4	3.500𝐸−3	1.629	0.958
100	1.799𝐸−4	1.900𝐸−3	1.522	0.881