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

Table 2

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

𝑥	𝑈𝐸	𝑈2	Error
0	1.000000000	1.000000000	0.0𝐸 + 000
0.1	1.215688010	1.215688008	2.0𝐸−009
0.2	1.465683310	1.465683305	5.0𝐸−009
0.3	1.754816450	1.754816444	6.0𝐸−009
0.4	2.088554577	2.088554566	1.1𝐸−008
0.5	2.473081906	2.473081902	4.0𝐸−009
0.6	2.915390080	2.915390064	1.6𝐸−008
0.7	3.423379602	3.423379600	2.0𝐸−009
0.8	4.005973670	4.005973650	2.0𝐸−008
0.9	4.673245911	4.673245930	1.9𝐸−008
1.0	2𝑒	2𝑒	0.0𝐸 + 000