Approximate solutions to a nonlinear functional differential equation

Applied Numerical Mathematics 2026 Open access

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Authors: Nicholas Hale, Enrique Thomann, J. A. C. Weideman
DOI: 10.1016/j.apnum.2026.07.007
Cited by: 1
References: 22

Abstract

A functional differential equation related to the logistic equation is studied by a combination of numerical and perturbation methods. Parameter regions are identified where the solution to the nonlinear problem is approximated well by known series solutions of the linear version of the equation. The solution space for a particular class of functions is then mapped out using a continuation approach.

Fields of Study & Subjects

Differential Equations and Numerical Methods Numerical methods for differential equations Fractional Differential Equations Solutions

Publication details

Journal / source
Applied Numerical Mathematics
Publisher
Elsevier BV
Volume
230
Pages
114–125
Publication date
26 July 2026
Language
EN