A Polynomial Approximation for the Numerical Solution of First Order Volterra Integro-Differential Equations

Abstract

Inthisstudy,wedevelopandimplementanumericalapproachforsolvingfirst-orderVolterraintegro-differential equations. We derive the integral form of the problem, which is then transformed into analgebraic equation system using standard collocation points. We established the approach's uniquenessaswellasitsconvergenceandnumericalexampleswereusedtotestthemethod'sefficiencywhichshowsthatthemethodcompetesfavourablywithexistingmethods