Derivation of block predictor–block corrector method for direct solution of third order ordinary differential equations
This paper proposes a new numerical method with stepnumber k=5 for solving third order initial value problems of ordinary differential equations directly.Interpolation and collocation technique is applied in developing the method where power series approximate solution is used as a basis function an...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Research India Publications
2016
|
| Subjects: | |
| Online Access: | https://repo.uum.edu.my/id/eprint/27976/1/GJPAM%2012%201%202016%20343%20350.pdf |
| Summary: | This paper proposes a new numerical method with stepnumber k=5 for solving third order initial value problems of ordinary differential equations directly.Interpolation and collocation technique is applied in developing the method where power series approximate solution is used as a basis function and its third derivative as a collocation equation. The new method developed possesses the following properties namely zero–stability, consistency,
convergence and having order six for the main method. The application of the method to some third order initial value problems confirmed its superiority
over the existing method when compared in terms of error. |
|---|