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

Table 4

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

𝑥	𝑈𝐸	𝑈2	Error
0	1.0000000000	1.0000000000	0.00000𝐸 + 000
0.1	0.9946538262	0.9946577580	3.93180𝐸−006
0.2	0.9771222064	0.9771357780	1.35716𝐸−005
0.3	0.9449011656	0.9449268900	2.57244𝐸−005
0.4	0.8950948188	0.8951321100	3.72912𝐸−005
0.5	0.8243606355	0.8244058800	4.52445𝐸−005
0.6	0.7288475200	0.7288945300	4.70100𝐸−005
0.7	0.6041258121	0.6041666500	4.08379𝐸−005
0.8	0.4451081856	0.4451352800	2.70944𝐸−005
0.9	0.2459603111	0.2459701300	9.81890𝐸−006
1.0	0.0000000000	0.0000000000	0.00000𝐸 + 000