Research Article
The Solution of Fourth Order Boundary Value Problem Arising out of the Beam-Column Theory Using Adomian Decomposition Method
Table 1
Numerical results obtained using the five terms of the decomposition series.
| | Analytical
solution | Approximate
solution | Error
|
| | 0 |
0. | 0. | 0. | | 0.1 | 0.099465 | 0.099465 | 2.92821 × 10−15 | | 0.2 | 0.195424 | 0.195424 | −2.16493 × 10−15 | | 0.3 | 0.283470 | 0.283470 | 6.10623 × 10−16 | | 0.4 | 0.358038 | 0.358038 | −1.30451 × 10−13 | | 0.5 | 0.412180 | 0.412180 | −2.37055 × 10−12 | | 0.6 | 0.437309 | 0.437309 | −2.58711 × 10−11 | | 0.7 | 0.422888 | 0.422888 | −1.94957 × 10−10 | | 0.8 | 0.356087 | 0.356087 | −1.12373 × 10−9 | | 0.9 | 0.221364 | 0.221364 | −5.27758 × 10−9 | | 1.0 | 0. | 2.10884 × 10 −8 | −2.10884 × 10 −8 |
|
|
