A Meshfree Quasi-Interpolation Method for Solving Burgers’ Equation

Table 2

Comparison of exact and numerical solution at 𝑡=0.001.

𝑥	𝜆=1			𝜆=0.5
	Our method	Asai [42]	Exact	Our method	Asai [42]	Exact
0.1	0.653563	0.653589	0.653544	0.327870	0.327874	0.327870
0.2	1.305519	1.305611	1.305534	0.655028	0.655078	0.655069
0.3	1.949321	1.949485	1.949364	0.978449	0.978427	0.978413
0.4	2.565977	2.566103	2.565925	1.288417	1.288485	1.288463
0.5	3.110769	3.110992	3.110739	1.563014	1.563096	1.563064
0.6	3.492902	3.493222	3.492866	1.756653	1.756691	1.756642
0.7	3.549538	3.550079	3.549595	1.787184	1.787281	1.787206
0.8	3.050089	3.050702	3.050134	1.537658	1.537794	1.537694
0.9	1.816492	1.817077	1.816660	0.916795	0.916941	0.916860