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Numerical solution of delay Volterra functional integral equations with variable bounds

2023; Elsevier BV; Volume: 200; Linguagem: Inglês

10.1016/j.apnum.2023.05.002

1873-5460

Dajana Conte, Eslam Farsimadan, Leila Moradi, Francesco Palmieri, Beatrice Paternoster,

Differential Equations and Numerical Methods

This work presents a new numerical method for solving Volterra-type integro functional equations with variable bounds and mixed delay. This paper applies discrete orthogonal Hahn polynomials and their properties numerically. A discrete scalar product is associated with discrete orthogonal polynomials. Several numerical experiments (including linear and nonlinear) for multiple test problems are provided to validate the accuracy of this method.