Uniform Higher Order 6, 7-Point Block Methods for Direct Integration of First Order Ordinary Differential Equations


Authors : Atabo V. O; Okorafor M. I; Stephen L

Volume/Issue : Volume 5 - 2020, Issue 6 - June

Google Scholar : http://bitly.ws/9nMw

Scribd : https://bit.ly/2C8Is1h

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.

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