Solving first and second order delay differential equations using new operational matrices of Said-Ball polynomials.

This study introduces new operational matrices to approximate the solution of first and second order delay differential equations (DDEs) using Said-Ball polynomials (SBP). To obtain the required approximate solution, the DDEs are transformed to a simplified set of algebraic equations with the adoption of the residual correction procedure (RCP) for error estimation of the SBP operational matrices. Some examples are given to demonstrate the employability of the new method and a comparison is made with the existing results. The new approach of adopting Said-Ball operational matrix displayed impressive results when compared in terms of absolute error with previous studies. [ABSTRACT FROM AUTHOR]