An Approximate Solution for Boundary Value Problems in Structural Engineering and Fluid Mechanics

Table 3

Comparison of the first-order approximate solution with exact solution.

𝑥	𝑈𝐸	𝑈1	Error
0	1.0000000000	1.0000000000	0.0000000𝐸 + 000
0.1	0.9946538262	0.9947931547	1.3932850𝐸−004
0.2	0.9771222064	0.9775949040	4.7269760𝐸−004
0.3	0.9449011656	0.9457776230	8.7645740𝐸−004
0.4	0.8950948188	0.8963297250	1.2349062𝐸−003
0.5	0.8243606355	0.8258087440	1.4481085𝐸−003
0.6	0.7288475200	0.7302919280	1.4444080𝐸−003
0.7	0.6041258121	0.6053240800	1.1982679𝐸−003
0.8	0.4451081856	0.4458625400	7.5435440𝐸−004
0.9	0.2459603111	0.2462193000	2.5898890𝐸−004
1.0	0.0000000000	0.0000000000	0.0000000𝐸 + 000