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

Table 6

The LTNHPM results for 𝑣(𝑥,𝑦,𝑡) for the first five approximations with 𝑅=100.

(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)	−0.01602719682	1𝐸−9	−0.01281338076	5𝐸−7	−0.01158528430	5𝐸−3
(0.5,0.1)	−5.521281362𝐸−16	5𝐸−16	−7.159309431𝐸−6	7𝐸−6	−0.01817103931	1𝐸−2
(0.9,0.1)	0.01921176621	7𝐸−10	0.01476978811	2𝐸−7	−0.06185015166	6𝐸−2
(0.3,0.3)	−0.01263767338	1𝐸−11	−0.01054980461	7𝐸−7	2.61506638𝐸−3	8𝐸−3
(0.7,0.3)	0.2831506768	5𝐸−9	0.01969169193	7𝐸−5	0.6129399566	6𝐸−1
(0.1,0.5)	−0.0000000000	0𝐸−0	−0.0000000000	0𝐸−0	0.0000000000	0𝐸−0
(0.5,0.5)	0.0000000000	0𝐸−0	0.0000000000	0𝐸−0	0.0000000000	0𝐸−0
(0.9,0.5)	−0.0000000000	0𝐸−0	−0.0000000000	0𝐸−0	0.0000000000	0𝐸−0
(0.3,0.7)	0.01263767338	0𝐸−0	0.01054980461	7𝐸−7	−2.61506637𝐸−3	8𝐸−3
(0.7,0.7)	−0.02831513946	7𝐸−8	−0.019969205679	7𝐸−5	−0.6129371973	6𝐸−1
(0.1,0.9)	0.01602719556	1𝐸−10	0.01281338024	5𝐸−7	0.01158528474	5𝐸−3
(0.5,0.9)	−5.521281351𝐸−16	5𝐸−16	7.159309412𝐸−6	7𝐸−6	0.01817103920	1𝐸−2
(0.9,0.9)	−0.01146399722	3𝐸−6	−0.01476978755	2𝐸−7	0.06185014690	6𝐸−2