Research Article
A Subdivision Based Iterative Collocation Algorithm for Nonlinear Third-Order Boundary Value Problems
Table 2
Numerical results of Example
2:
.
| | Analytic solution | Approximate solution | Error by proposed method |
| 0.0 | 1 | 1 | 0 | 0.1 | 1.105170918 | 1.1056664532 | 0.000495535 | 0.2 | 1.221402758 | 1.2232054699 | 0.001802712 | 0.3 | 1.349858808 | 1.3534912400 | 0.003632432 | 0.4 | 1.491824698 | 1.4974920669 | 0.005667369 | 0.5 | 1.648721271 | 1.6562805667 | 0.007559296 | 0.6 | 1.822118800 | 1.8310443828 | 0.008925583 | 0.7 | 2.013752707 | 2.0230974700 | 0.009344763 | 0.8 | 2.225540928 | 2.2338920118 | 0.008351084 | 0.9 | 2.459603111 | 2.4650310392 | 0.005427928 | 1.0 | 2.718281828 | 2.7182818285 | 0 |
|
|