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

Table 5

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

𝑥	𝑈𝐸	𝑈1	Error
0	0.0000000000	0.0000000000	0.0000000𝐸 + 000
0.1	0.0198100000	0.0198624243	5.2424300𝐸−005
0.2	0.0771200000	0.0773022107	1.8221070𝐸−004
0.3	0.1662300000	0.1665781379	3.4813790𝐸−004
0.4	0.2790400000	0.2795490972	5.0909720𝐸−004
0.5	0.4062500000	0.4068747265	6.2472650𝐸−004
0.6	0.5385600000	0.5392178270	6.5782700𝐸−004
0.7	0.6678700000	0.6684511385	5.8113850𝐸−004
0.8	0.7884800000	0.7888727023	3.9270230𝐸−004
0.9	0.8982900000	0.8984356964	1.4569640𝐸−004
1.0	1.0000000000	1.0000000000	0.0000000𝐸 + 000