%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