A Meshfree Quasi-Interpolation Method for Solving Burgers’ Equation

Table 8

Comparison of results at different times for 𝜏=0.01.

	𝐿2×10^3	𝐿∞×10^3	𝐿2×10^3	𝐿∞×10^3	𝐿2×10^3	𝐿∞×10^3
ℎ=0.02, 𝜆=0.005	𝑡=1.8	𝑡=1.8	𝑡=2.4	𝑡=2.4	𝑡=3.2	𝑡=3.2
BSQI [41]	1.66464	5.12020	2.06695	6.31491	2.36889	6.85425
QBCM I [17]	0.19127	0.54058	0.14246	0.39241	0.93617	5.54899
QBCM II [17]	0.49130	1.16930	0.41864	0.93664	1.28863	7.49147
MQQI [39]	6.88480	25.6767	7.89738	27.2424	8.56856	2.68122
Our method	0.6642	0.91725	0.7573	1.1465	0.8592	1.2103
ℎ=0.02, 𝜆=0.01	𝑡=1.8	𝑡=1.8	𝑡=2.4	𝑡=2.4	𝑡=3.2	𝑡=3.2
BSQI [41]	0.82751	2.59444	0.98595	2.35031	1.58264	5.73827
QBCM I [17]	0.17014	0.40431	0.20476	0.86363	1.29951	6.69425
QBCM II [17]	0.24003	0.48800	0.30849	1.14760	1.57548	8.06798
MQQI [39]	5.89555	14.7550	6.64358	15.9892	6.90385	16.3403
Our method	0.82751	0.50367	0.46281	1.05625	0.88261	4.73827