Numerical solution of second order ODE directly by two point block backward differentiation formula
Direct Two Point Block Backward Differentiation Formula, (BBDF2) for solving second order ordinary differential equations (ODEs) will be presented throughout this paper. The method is derived by differentiating the interpolating polynomial using three back values. In BBDF2, two approximate solutions...
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| Main Authors: | , , , , |
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| Format: | Conference or Workshop Item |
| Published: |
American Institute of Physics Inc.
2015
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| Online Access: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-84984541322&doi=10.1063%2f1.4937080&partnerID=40&md5=c7fe8f541f9e0de5c760a226db63e263 http://eprints.utp.edu.my/30742/ |
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| Institution: | Universiti Teknologi Petronas |
| Summary: | Direct Two Point Block Backward Differentiation Formula, (BBDF2) for solving second order ordinary differential equations (ODEs) will be presented throughout this paper. The method is derived by differentiating the interpolating polynomial using three back values. In BBDF2, two approximate solutions are produced simultaneously at each step of integration. The method derived is implemented by using fixed step size and the numerical results that follow demonstrate the advantage of the direct method as compared to the reduction method. © 2015 AIP Publishing LLC. |
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