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

Table 2

Numerical results (in x direction) for |𝑢(𝑥,𝑡)−𝜙₃₀(𝑥,𝑡)| where 𝑢(𝑥,𝑡)=𝑒^{(1−𝜋2)𝑡}cos(𝜋𝑥) for (3.12)–(3.14).

𝑡𝑖∣𝑥𝑖	0.1	0.2	0.3	0.4	0.5
0.1	4.5975𝐸−21	3.9198𝐸−21	5.5044𝐸−21	4.8426𝐸−21	2.9253𝐸−20
0.2	2.0957𝐸−21	4.4964𝐸−21	2.5076𝐸−21	2.7629𝐸−22	3.1241𝐸−22
0.3	2.7394𝐸−22	3.5343𝐸−22	6.4007𝐸−22	4.6883𝐸−22	3.0307𝐸−21
0.4	2.2349𝐸−22	9.1141𝐸−23	4.2382𝐸−22	1.9278𝐸−22	5.7223𝐸−22
0.5	1.1388𝐸−23	9.3840𝐸−23	2.0905𝐸−22	2.9358𝐸−22	6.2591𝐸−22