Solving the Volterra Integrative Differential Equation

Abstract

Volterra integrative differential equation are among the most important mathematical equations encountered in a wide range of scientific and engineering applications. They combine differential and integral operators within a single mathematical model, making their solution a challenging task in many practical problems. This study aims to review and analyze three of the most widely used method for solving Volterra integrative differential equations, namely Adomian, Decomposition Method, Laplace Transform Method, Series Method. The theoretical foundation to illustrative examples, the study demonstrates that the choice of the nature of the equation and its associated initial conditions.