Vol. 1, Issue 2, Part A (2019)

This paper considered the solution of special second order delay differential equations. The method was generated by interpolation and collocation techniques using a combination of power series and exponential function. The approximate basis function is interpolated at the first two grid points and collocated at both grid and off-grid points. The developed schemes and its derivatives were combined to form block methods to simultaneously solve special second order delay differential equations. The basic properties of the methods such as order, error constants, consistency and convergence were also examined. Numerical results are presented to show that the proposed method is suitable for solving second order delay differential equations.