Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 3 The numerical results of first scheme ( 46 ) and second scheme ( 47 ) for u and v with Vineet, Bahadir and Jain’s solutions at $t = 0.625$ with $t = 0.0001$ , and $R = 50$ , $20 \times 20$ grid

From: Exact finite-difference scheme and nonstandard finite-difference scheme for coupled Burgers equation

(x,y)	Computed values of U					Computed values of V
(x,y)	First	Second	Srivastava	Bahadir	Jain	First	Second	Srivastava	Bahadir	Jain
(0.1,0.1)	0.95754	0.96925	0.97146	0.96688	0.97258	0.09364	0.09774	0.098688	0.09824	0.09773
(0.3,0.1)	1.05187	1.14237	1.15280	1.14827	1.16214	0.11669	0.13760	0.14158	0.14112	0.14039
(0.2,0.2)	0.86076	0.86218	0.86308	0.85911	0.86281	0.16361	0.16678	0.16754	0.16681	0.16660
(0.4,0.2)	0.91200	0.97637	0.97985	0.97637	0.96483	0.15713	0.16910	0.17111	0.17065	0.17397
(0.1,0.3)	0.67190	0.66426	0.66316	0.66019	0.66318	0.26263	0.26355	0.26378	0.26261	0.26294
(0.3,0.3)	0.76523	0.77524	0.77233	0.76932	0.77030	0.22205	0.22650	0.22655	0.22576	0.22463
(0.2,0.4)	0.58001	0.58333	0.58181	0.57966	0.58070	0.30996	0.32554	0.32851	0.32745	0.32402
(0.4,0.4)	0.70944	0.76524	0.75862	0.75678	0.74435	0.30151	0.32120	0.32502	0.32441	0.31822

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