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

Table 3

Numerical results (in t direction) for |𝑢(𝑥,𝑡)−𝜙₂₀(𝑥,𝑡)| where 𝑢(𝑥,𝑡)=(1+2𝑥)/(𝑥²+𝑥+6𝑡+1) for (3.19), (3.24)-(3.25).

𝑡𝑖∣𝑥𝑖	0.01	0.02	0.03	0.04	0.05
0.01	3.0000𝐸−20	4.0000𝐸−20	3.0000𝐸−20	2.0000𝐸−20	1.0000𝐸−20
0.02	2.8000𝐸−19	2.8000𝐸−19	1.7000𝐸−19	1.4000𝐸−19	1.3000𝐸−19
0.03	8.9367𝐸−16	7.3753𝐸−16	6.0717𝐸−16	4.9881𝐸−16	4.0888𝐸−16
0.04	2.6828𝐸−13	2.2148𝐸−13	1.8242𝐸−13	1.4992𝐸−13	1.2295𝐸−13
0.05	2.2204𝐸−11	1.8337𝐸−11	1.5109𝐸−11	1.2422𝐸−11	1.0191𝐸−11