Exami̇ni̇ng stabi̇li̇ty regi̇ons of second type volterra i̇ntegro-di̇fferenti̇al equati̇ons

This thesis consists of obtaining the stability regions and numerical solutions of second kind Volterra-integro differential equations. This thesis essentially consists of five chapters. In the introduction chapter, the information about the second kind Volterra integro-differential equations is given, and the applications the integral equations and second kind Volterra integro-differential equations are discussed briefly. In addition, the studies about second kind Volterra integro-differential equations that has been done so far is given. In the second chapter, the conditions related to the existence and uniqueness of the numerical solution of second kind Volterra integral equations are mentioned. In the third chapter, the numerical methods for second kind Volterra integral equations are tackled, and the stability regions of the second type are obtained. The exact solutions and obtained numerical results were also shown on a table for comparison. In the last part of the thesis, the stability regions and numerical methods for second kind Volterra-integro differential equations are investigated. The obtained numerical solutions are compared with exact solutions.