Simple and High-Accurate Schemes for Hyperbolic Conservation Laws

Table 2

Initial value problem (65) and 𝐿¹ and 𝐿^∞ norms of the errors.

𝑀	𝐿^1-error	Order	𝐿^∞-error	Order
10	1.271602441600013𝑒−003	—	4.379023250708602𝑒−003	—
20	3.014198107186672𝑒−004	2.076	1.184828766909840𝑒−003	1.885
40	8.022589039827272𝑒−005	1.909	3.326609280748238𝑒−004	1.836
80	1.970290376099131𝑒−005	2.025	8.196194678489199𝑒−005	2.021
160	4.901628379673853𝑒−006	2.007	2.022463637441074𝑒−005	2.001