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

Table 5

Numerical results for |𝑢(𝑥,𝑡)−𝜙₅₀(𝑥,𝑡)| where 𝑢(𝑥,𝑡)=1/(𝑥−𝑡) for (3.33).

𝑡𝑖∣𝑥𝑖	0.5	0.6	0.65	0.7	0.8
0.11	0.0000𝐸+00	0.0000𝐸+00	0.0000𝐸+00	0.0000𝐸+00	0.0000𝐸+00
0.2	0.0000𝐸+00	1.3322𝐸−15	1.3322𝐸−15	0.0000𝐸+00	0.0000𝐸+00
0.3	4.0413𝐸−11	2.6645𝐸−15	0.0000𝐸+00	0.0000𝐸+00	0.0000𝐸+00
0.4	1.4272𝐸−4	7.8416𝐸−9	1.1465𝐸−10	2.3510𝐸−12	2.2204𝐸−15
0.45	0.1030𝐸+00	3.7754𝐸−6	5.1752𝐸−8	1.0180𝐸−9	9.1571𝐸−13