Solving second order boundary value problems by discrete cubic splines
In this paper we use discrete cubic spline based on central differences to obtain approximate solution of a second order boundary value problem. It is shown that the method is of order 4 if a parameter takes a specific value, else it is of order 2. Two numerical examples are included to illustrate o...
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| Main Authors: | , |
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| Other Authors: | |
| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
2013
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/97079 http://hdl.handle.net/10220/11810 |
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| Institution: | Nanyang Technological University |
| Language: | English |
| Summary: | In this paper we use discrete cubic spline based on central differences to obtain approximate solution of a second order boundary value problem. It is shown that the method is of order 4 if a parameter takes a specific value, else it is of order 2. Two numerical examples are included to illustrate our method as well as to compare the performance with other numerical methods proposed in the literature. |
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