Matrix based morgan-voyce approximation for the numerical solutions of various functional integro differential equations

In this study, a fast and reliable numerical method is proposed in order to find numerical solutions of various functional integro differential equations subject to mixed conditions by using the matrix formulation of Morgan-Voyce polynomials. To show the applicability and productivity of the proposed method, we applied the Morgan-Voyce matrix method and their figures and tables are given with the obtained data. Except from the introduction part, this thesis consists mainly of four chapters. The aim and scope of the thesis are explained in the introduction. In the second chapter, basic concepts related to integro-differential equations and Morgan-Voyce polynomials are given. In the third chapter, Morgan-Voyce polynomials of first order integro-differential equations and high order delayed Fredholm and Volterra integro-differential equations are examined. It has been observed that there will be improvements with different process in a shorter time on different samples discussed in the fourth section.