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

Table 4

Numerical results (in x 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	1.0000𝐸−20	1.0000𝐸−20	1.0000𝐸−20	1.0000𝐸−20	1.0000𝐸−20
0.02	1.0000𝐸−20	1.0000𝐸−20	0.0000𝐸+00	1.0000𝐸−20	0.0000𝐸+00
0.03	0.0000𝐸+00	1.0000𝐸−20	2.0000𝐸−20	1.0000𝐸−20	1.0000𝐸−20
0.04	0.0000𝐸+00	0.0000𝐸+00	3.0000𝐸−20	2.0000𝐸−20	2.0000𝐸−20
0.05	1.0000𝐸−20	0.0000𝐸+00	1.0000𝐸−20	0.0000𝐸+00	1.0000𝐸−20