Research Article
Approximate Solutions of Differential Equations by Using the Bernstein Polynomials
Table 2
Numerical results for Example
7.2.
| | Exact solution | Method  of [10] | Presented method | | for | for |
| |
0.01
|
1.00010001
|
0.9958
|
1.00010001
| |
0.3
|
1.09417428
|
1.0942
|
1.09417428
| |
0.5
|
1.28402542
|
1.2843
|
1.28402542
| |
0.75
|
1.75505466
|
1.7551
|
1.75505466
| |
0.9
|
2.24790799
|
2.2480
|
2.24790799
| |
0.95
|
2.46575981
|
2.4658
|
2.46575981
| |
1
|
2.71828183
|
2.7184
|
2.71828183
|
|
|
