دانشگاه شهید چمران اهوازمجله مدلسازی پیشرفته ریاضی2251-808814(English)320240822A Finite Difference Method for Smooth Solution of a System of Linear Volterra Integral EquationsA Finite Difference Method for Smooth Solution of a System of Linear Volterra Integral Equations1151946210.22055/jamm.2024.48011.2313FAMehdi JalalvandDepartment of Mathematics, Shahid Chamran University of Ahvaz,0000-0001-5962-8132Mohammad Reza MokhtarzadehSchool of Mathematics,
Institute for Research in Fundamental Sciences,Sedigheh ToubaeiDepartment of Mathematics, Ahvaz Branch, Islamic Azad University, Ahvaz, IranJournal Article20240919In this paper, we propose a finite difference numerical method for the smooth solution of a system of linear Volterra integral equations. This method is a generalization of the finite difference method proposed in [11] and [12] for scalar linear Volterra integral equations. Error analysis of this method is presented via asymptotic expansion of the absolute error, and verification of accuracy is examined by two illustrative test problems.In this paper, we propose a finite difference numerical method for the smooth solution of a system of linear Volterra integral equations. This method is a generalization of the finite difference method proposed in [11] and [12] for scalar linear Volterra integral equations. Error analysis of this method is presented via asymptotic expansion of the absolute error, and verification of accuracy is examined by two illustrative test problems.https://jamm.scu.ac.ir/article_19462_1ddf96a98a2f91f83d5626845d88328c.pdf