A New Efficient Method for Solving Two-Dimensional Burgers' Equation

Table 3

The LTNHPM results for 𝑢(𝑥,𝑦,𝑡) for the first five approximations with 𝑅=1.

(𝑥,𝑦)	𝑡=0.01		𝑡=0.5		𝑡=2
	𝑢^∗(𝑥,𝑦,𝑡)	|𝑢^∗−𝑢|	𝑢^∗(𝑥,𝑦,𝑡)	|𝑢^∗−𝑢|	𝑢^∗(𝑥,𝑦,𝑡)	|𝑢^∗−𝑢|
(0.1,0.1)	0.6249804688	1𝐸−10	0.6240234576	2𝐸−10	0.6210993749	4𝐸−6
(0.5,0.1)	0.6218561341	2𝐸−9	0.6208999113	2𝐸−9	0.6179805324	4𝐸−6
(0.9,0.1)	0.6187357207	1𝐸−10	0.6177814780	2𝐸−10	0.6148703830	4𝐸−6
(0.3,0.3)	0.6249804688	1𝐸−10	0.6240234576	2𝐸−10	0.6210993749	4𝐸−6
(0.7,0.3)	0.6218561341	2𝐸−9	0.6208999113	2𝐸−9	0.6179805324	4𝐸−6
(0.1,0.5)	0.6281048314	1𝐸−9	0.6271482276	1𝐸−9	0.6242230488	4𝐸−6
(0.5,0.5)	0.6249804688	1𝐸−10	0.6240234576	2𝐸−10	0.6210993749	4𝐸−6
(0.9,0.5)	0.6218561341	2𝐸−9	0.6208999113	2𝐸−9	0.6179805324	4𝐸−6
(0.3,0.7)	0.6281048314	1𝐸−9	0.6271482276	1𝐸−9	0.6242230488	4𝐸−6
(0.7,0.7)	0.6249804688	1𝐸−10	0.6240234576	2𝐸−10	0.6210993749	4𝐸−6
(0.1,0.9)	0.6312253142	0𝐸−0	0.6302703114	2𝐸−10	0.6273476542	4𝐸−6
(0.5,0.9)	0.6281048314	1𝐸−9	0.6271482276	1𝐸−9	0.6242230488	4𝐸−6
(0.9,0.9)	0.6249804688	1𝐸−10	0.6240234576	2𝐸−10	0.6210993749	4𝐸−6