A class of sixth order hybrid extended block backward differentiation formulae for computational solutions of first order delay differential equations

Abstract

In this paper, we established and carried-out the computational solution of some first order delay differential equations (DDEs) using hybrid extended backward differentiation formulae method in block forms without the application of interpolation techniques in determining the delay term. The discrete schemes were worked-out through the linear multistep collocation technique by matrix inversion approach from the continuous construction of each step number which clearly demonstrated the order and error constants, consistency, zero stability, convergence and region of absolute stability of this method after investigations. The results obtained after the implementation of this method validate that the lower step number integrated with hybrid extended future points performed better than the higher step numbers integrated with hybrid extended future points when compared with the exact solutions and other existing methods.