%0 Journal Article %A Olusheye Akinfenwa and Samuel Jator and Nianmin Yoa %D 2011 %J International Journal of Mathematical and Computational Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 50, 2011 %T An eighth order Backward Differentiation Formula with Continuous Coefficients for Stiff Ordinary Differential Equations %U https://publications.waset.org/pdf/15645 %V 50 %X 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. %P 160 - 165