Numerical Solution to Coupled Burgers’ Equations by Gaussian-Based Hermite Collocation Scheme

Table 1

Numerical solutions for Re = 50, , , and .

U-velocity		V-velocity		U-velocity		V-velocity
Hermite	Exact	Hermite	Exact	Hermite	Exact	Hermite	Exact
0	0.3	0.6873	0.6872	0.8127	0.8128	0.6873	0.6872	0.8127	0.8128
0.1	0.2	0.6653	0.6628	0.8347	0.8372	0.6553	0.6631	0.8247	0.8367
0.3	0.8	0.7381	0.7395	0.7719	0.7605	0.7281	0.7398	0.7719	0.7601
0.4	0.6	0.6938	0.6943	0.8162	0.8057	0.6838	0.6946	0.8162	0.8052
0.6	0.7	0.6553	0.6628	0.8347	0.8372	0.6653	0.6631	0.8247	0.8367
0.7	0.2	0.5149	0.5105	0.9951	0.9895	0.5049	0.5109	0.9951	0.9890
0.7	0.6	0.5892	0.5872	0.9008	0.9128	0.5892	0.5875	0.9108	0.9124
0.8	0.1	0.5014	0.5031	0.9986	0.9969	0.5014	0.5034	0.9986	0.9964
1	0.4	0.5027	0.5027	0.9973	0.9973	0.5027	0.5027	0.9973	0.9973
1	0.7	0.5164	0.5164	0.9836	0.9836	0.5164	0.5164	0.9836	0.9836