Research Article
Numerical Solution of Two-Point Boundary Value Problems by Interpolating Subdivision Schemes
Table 2
Solutions and error estimation of Example
1.
| | Analytic solution | Approximate solution by (36) | Approximate solution by (44) | Absolute error by (36) | Absolute error by (44) |
| 0.0 | 1 | 1 | 0.0000 | 0 | 0 | 0.1 | 0.9946538262 | 0.978925359857389 | 0.9934991878 | 0.0157284663 | 0.00115463837 | 0.2 | 0.9771222064 | 0.933503956247400 | 0.9728768936 | 0.0436182502 | 0.00424531280 | 0.3 | 0.9449011656 | 0.865636023693632 | 0.9362531105 | 0.0792651419 | 0.00864805513 | 0.4 | 0.8950948188 | 0.797539554103408 | 0.8814510903 | 0.0975552647 | 0.01364372850 | 0.5 | 0.8243606355 | 0.771795250759200 | 0.8059555784 | 0.0525653847 | 0.0184050571 | 0.6 | 0.7288475200 | 0.651392727341382 | 0.7068662336 | 0.0774547927 | 0.0219812864 | 0.7 | 0.6041258121 | 0.519777983609805 | 0.5808456679 | 0.0843478285 | 0.0232801441 | 0.8 | 0.4451081856 | 0.380902186129123 | 0.42406141196 | 0.06420599959 | 0.0210467736 | 0.9 | 0.2459603111 | 0.199271785305208 | 0.23212109670 | 0.0466885258 | 0.0138392144 | 1.0 | 0 | 0 | 0.0000 | 0.000 | 0.000 |
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