Numerical solutions of nonlinear volterra integral differential equations

This study consists of five main s ections. In the first section, the literature on nonlinear Volterra integro differential equations and the aim of the study are given. In the second section, the definition and types of integral equations are given, the usage areas of Volterra integral type equations and the existence of solutions are emphasised. In the third section, numerical methods for Volterra integral equations are given and numerical solution tables are obtained by applying these methods to examples. In the fourth chapter, nonlinear Volterra-integro differential equations are discussed and numerical methods are applied to these equations and graphs are obtained. In the last section, numerical methods ranging from Euler's method to Runge-Kutta-6 method are applied to nonlinear integro differential equations and high order convergent smooth graphs are obtained by using appropriate computer programmes.