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

Table 5

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

(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)	−0.01433515980	4𝐸−10	−0.01146399722	3𝐸−6	−0.04985414081	4𝐸−2
(0.5,0.1)	0.01932053175	0𝐸−0	0.01517417083	3𝐸−6	−0.04626741859	5𝐸−2
(0.9,0.1)	−0.01718352263	4𝐸−19	−0.01319841673	1𝐸−5	0.06125231399	6𝐸−2
(0.3,0.3)	0.01130347869	1𝐸−11	0.009435085671	1𝐸−6	−0.01389095422	1𝐸−2
(0.7,0.3)	0.02532577158	9𝐸−9	0.01777109572	2𝐸−4	0.1210568093	1𝐸−1
(0.1,0.5)	−0.03913650004	8𝐸−11	−0.03227952068	2𝐸−5	0.2751624426	2𝐸−1
(0.5,0.5)	0.06252255411	1𝐸−11	0.04901387388	5𝐸−5	−0.8092220313	1𝐸−1
(0.3,0.7)	0.01130347871	3𝐸−11	0.009435085675	1𝐸−6	−0.01389095417	1𝐸−2
(0.7,0.7)	0.02532586111	9𝐸−8	0.01777138161	2𝐸−4	0.1210567369	1𝐸−1
(0.1,0.9)	−0.01433515851	8𝐸−10	−0.01146399707	3𝐸−6	−0.04985413728	4𝐸−2
(0.5,0.9)	0.01932053170	0𝐸−0	0.01517417079	3𝐸−6	−0.04626741849	5𝐸−2
(0.9,0.9)	−0.01718352694	2𝐸−10	−0.01319842063	1𝐸−5	0.06125228267	6𝐸−2