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

Table 4

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

(𝑥,𝑦)	𝑡=0.01		𝑡=0.5		𝑡=2
	𝑣^∗(𝑥,𝑦,𝑡)	|𝑣^∗−𝑣|	𝑣^∗(𝑥,𝑦,𝑡)	|𝑣^∗−𝑣|	𝑣^∗(𝑥,𝑦,𝑡)	|𝑣^∗−𝑣|
(0.1,0.1)	0.8750195312	1𝐸−10	0.8759765424	2𝐸−10	0.8789006251	4𝐸−6
(0.5,0.1)	0.8781438713	3𝐸−9	0.8791000941	3𝐸−9	0.8820194730	4𝐸−6
(0.9,0.1)	0.8812642793	1𝐸−10	0.8822185220	2𝐸−10	0.8851296170	4𝐸−6
(0.3,0.3)	0.8750195312	1𝐸−10	0.8759765424	2𝐸−10	0.8789006251	4𝐸−6
(0.7,0.3)	0.8781438713	3𝐸−9	0.8791000941	3𝐸−9	0.8820194730	4𝐸−6
(0.1,0.5)	0.8718951722	2𝐸−9	0.8728517760	2𝐸−9	0.8757769548	4𝐸−6
(0.5,0.5)	0.8750195312	1𝐸−10	0.8759765424	2𝐸−10	0.8789006251	4𝐸−6
(0.9,0.5)	0.8781438713	3𝐸−9	0.8791000941	3𝐸−9	0.8820194730	4𝐸−6
(0.3,0.7)	0.8718951722	2𝐸−10	0.8728517760	2𝐸−9	0.8757769548	4𝐸−6
(0.7,0.7)	0.8750195312	1𝐸−10	0.8759765424	2𝐸−10	0.8789006251	4𝐸−6
(0.1,0.9)	0.8687746864	6𝐸−10	0.8697296892	4𝐸−10	0.8726523464	4𝐸−6
(0.5,0.9)	0.8718951722	1𝐸−9	0.8728517760	2𝐸−9	0.8757769548	4𝐸−6
(0.9,0.9)	0.8750195312	1𝐸−10	0.8759765424	2𝐸−10	0.8789006251	4𝐸−6