arXiv subjects

D. Gamez

Publications and source records attributed to D. Gamez.

2 recordsLinked to original sources

arXiv2020

Projected iterations of fixed point type to solve nonlinear partial Volterra integro--differential equations

In this paper, we propose a method to approximate the fixed point of an operator in a Banach space. Using biorthogonal systems, this method is applied to build an approximation of the solution of a class of nonlinear partial integro--differential equations. The theoretical findings are illustrated with several numerical examples, confirming the reliability, validity and precision of the proposed method.

math.NA↗

arXiv2020

A perturbed collage theorem and its application to inverse interval integral problems

This paper deals with inverse problems subject to imprecise or vague information of some involved data by means of interval-valued functions. To provide interval solutions to the inverse problems we have adopted a perturbed collage-based approach and we have also introduced a numerical procedure by means of the use of interval bases in a sense. To illustrate the results, and as an application, we have studied the Volterra interval-valued integral equation, and provide some computational examples.

math.NA↗