This research article focuses on proposing
uniform higher order 6,7-point BBDF for the numerical
integration of first order ODEs. These methods are
formulated via interpolation and collocation techniques
using power series as the basis function. Usual
properties such zero and absolute stabilities,
convergence, order and error constant of the methods
have been investigated. The methods were applied to
some selected test problems and compared with some
existing methods such as BBDF(4), BBDF(5), DIBBDF,
SDIBBDF, DI2BBDF, NDISBBDF, 3PVSBBDF, Ode15s
and Ode23s to prove the accuracy of the methods. Test
performance showed that the new methods are viable.
Keywords : Backward differentiation formula, uniform order, block methods.