Projected iterations of fixed point type to solve nonlinear partial Volterra integro--differential equations
Numerical Analysis
2020-02-07 v1 Numerical Analysis
Abstract
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.
Cite
@article{arxiv.2002.02172,
title = {Projected iterations of fixed point type to solve nonlinear partial Volterra integro--differential equations},
author = {M. I. Berenguer and D. Gamez},
journal= {arXiv preprint arXiv:2002.02172},
year = {2020}
}