A Polynomial Approximation for the Numerical Solution of First Order Volterra Integro-Differential Equations
Ojo Olamiposi Aduroja,
Ganiyu Ajileye,
Lydia Adiku
et al.
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
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