Numerical solution of a linear Volterra integro-differential problem

P. González, A. Kouibia, B. Mustafa and M. Pasadas

Mathematics and Computers in Simulation (MATCOM), 2025, vol. 230, issue C, 493-500

Abstract: In this paper we develop an approximation method for numerically solving a linear Volterra integro-differential problem. The proposed method is based on a functional minimization problem in a finite-dimensional space generated by a finite Wendland’s type radial basis functions (RBFs) set. The existence and uniqueness of the solution are established and some convergence results are proved. Finally we present some numerical examples to show the effectiveness of this discrete method.

Keywords: Volterra integro-differential equation; Wendland radial basis functions; Variational methods (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:230:y:2025:i:c:p:493-500

DOI: 10.1016/j.matcom.2024.10.036

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