Simple and High-Accurate Schemes for Hyperbolic Conservation Laws

Table 1

Initial value problem (30) and 𝐿¹ and 𝐿^∞ norms of the errors.

𝑀	𝐿^1-error	Order	𝐿^∞-error	Order
10	1.203897900384131𝑒−002	—	1.860124553555120𝑒−002	—
20	7.747165606962370𝑒−004	3.957	1.216839281057258𝑒−003	3.934
40	4.892558239899294𝑒−005	3.985	7.685201177864975𝑒−005	3.984
80	3.065750738086813𝑒−006	3.996	4.815669996355299𝑒−006	3.996
160	1.917328754602903𝑒−007	3.999	3.011732963263680𝑒−007	3.999