A Review of Some Recent Results for the Approximate Analytical Solutions of Nonlinear Differential Equations

Table 6

Numerical results for |𝑢(𝑥,𝑡)−𝜙₆(𝑥,𝑡)| where 𝑢(𝑥,𝑡)=(2𝑥−3𝑡)^−3/4 for (3.38).

𝑡𝑖∣𝑥𝑖	1	2.5	4.8	8	10.8
0.01	5.1070𝐸−14	0.0000𝐸+00	0.0000𝐸+00	0.0000𝐸+00	0.0000𝐸+00
0.1	5.8857𝐸−7	4.4009𝐸−10	2.7246𝐸−12	5.1348𝐸−14	5.0238𝐸−15
0.2	9.0812𝐸−5	6.0039𝐸−8	3.5999𝐸−10	6.6973𝐸−12	6.4802𝐸−13
0.3	1.9539𝐸−3	1.0982𝐸−6	6.3556𝐸−9	1.1663𝐸−10	1.1227𝐸−11
0.45	0.0548𝐸+00	2.0984𝐸−5	1.1431𝐸−7	2.0519𝐸−9	1.9595𝐸−10