@article{(Open Science Index):https://publications.waset.org/pdf/15645, title = {An eighth order Backward Differentiation Formula with Continuous Coefficients for Stiff Ordinary Differential Equations}, author = {Olusheye Akinfenwa and Samuel Jator and Nianmin Yoa}, country = {}, institution = {}, abstract = {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 using the proposed new block form show that it is attractive for solutions of stiff problems and compares favourably with existing ones.}, journal = {International Journal of Mathematical and Computational Sciences}, volume = {5}, number = {2}, year = {2011}, pages = {160 - 165}, ee = {https://publications.waset.org/pdf/15645}, url = {https://publications.waset.org/vol/50}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 50, 2011}, }