Corpus ID: 6853958

An eighth order Backward Differentiation Formula with Continuous Coefficients for Stiff Ordinary Differential Equations

@article{Akinfenwa2011AnEO,
  title={An eighth order Backward Differentiation Formula with Continuous Coefficients for Stiff Ordinary Differential Equations},
  author={O. Akinfenwa and S. Jator and Nianmin Yoa},
  journal={World Academy of Science, Engineering and Technology, International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering},
  year={2011},
  volume={5},
  pages={160-165}
}
  • O. Akinfenwa, S. Jator, Nianmin Yoa
  • Published 2011
  • Mathematics
  • World Academy of Science, Engineering and Technology, International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering
A block backward differentiation formula of uniform order eight is proposed for solving first order stiff initial value problems (IVPs). The conventional 8-step Backward Differentiation Formula (BDF) and additional methods are obtained from the same continuous scheme and assembled into a block matrix equation which is applied to provide the solutions of IVPs on non-overlapping intervals. The stability analysis of the method indicates that the method is L0-stable. Numerical results obtained… Expand

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