Operational Matrix via Boole Polynomials for Solving Linear Volterra-Fredholm Integro-Differential Equations

Abstract

This thesis presents a numerical approach for solving high-order linear Volterra-Fredholm Integro-Differential Equations based on Boole polynomials. By constructing an operational matrix of derivatives and integration, the governing equations are transformed into a system of algebraic equations. Several numerical examples are provided to demonstrate the accuracy, efficiency, and reliability of the proposed computational method.