Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900923 | Applied Mathematics and Computation | 2018 | 16 Pages |
Abstract
We address the problem of the numerical bifurcation analysis of general nonlinear delay equations, including integral and integro-differential equations, for which no software is currently available. Pseudospectral discretization is applied to the abstract reformulation of equations with infinite delay to obtain a finite dimensional system of ordinary differential equations, whose properties can be numerically studied with well-developed software. We explore the applicability of the method on some test problems and provide some numerical evidence of the convergence of the approximations.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Mats Gyllenberg, Francesca Scarabel, Rossana Vermiglio,