Analytic solution to functional differential equations via Bell's polynomials

Diego Caratelli; Pierpaolo Natalini; Paolo Emilio Ricci

doi:10.1515/gmj-2024-2005

Analytic solution to functional differential equations via Bell's polynomials

Diego Caratelli, Pierpaolo Natalini, Paolo Emilio Ricci (Corresponding author)

Electromagnetics

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

It is shown how to approximate the solution of functional differential equations in terms of Bell's polynomials. Some numerical checks are shown, by using the computer algebra system Mathematica.

Original language	English
Pages (from-to)	745-756
Number of pages	12
Journal	Georgian Mathematical Journal
Volume	31
Issue number	5
Early online date	20 Feb 2024
DOIs	https://doi.org/10.1515/gmj-2024-2005
Publication status	Published - 1 Oct 2024

Keywords

Bell's polynomials
Cauchy's initial value problem
multivariate Bell's polynomials
numerical methods for composed-type initial value problems
second-order Bell's polynomials

Access to Document

10.1515/gmj-2024-2005

Cite this

@article{f3b378edf35c4ef583a324cbd306f6ee,

title = "Analytic solution to functional differential equations via Bell's polynomials",

abstract = "It is shown how to approximate the solution of functional differential equations in terms of Bell's polynomials. Some numerical checks are shown, by using the computer algebra system Mathematica.",

keywords = "Bell's polynomials, Cauchy's initial value problem, multivariate Bell's polynomials, numerical methods for composed-type initial value problems, second-order Bell's polynomials",

author = "Diego Caratelli and Pierpaolo Natalini and Ricci, {Paolo Emilio}",

year = "2024",

month = oct,

day = "1",

doi = "10.1515/gmj-2024-2005",

language = "English",

volume = "31",

pages = "745--756",

journal = "Georgian Mathematical Journal",

issn = "1072-947X",

publisher = "Walter de Gruyter GmbH",

number = "5",

}

TY - JOUR

T1 - Analytic solution to functional differential equations via Bell's polynomials

AU - Caratelli, Diego

AU - Natalini, Pierpaolo

AU - Ricci, Paolo Emilio

PY - 2024/10/1

Y1 - 2024/10/1

N2 - It is shown how to approximate the solution of functional differential equations in terms of Bell's polynomials. Some numerical checks are shown, by using the computer algebra system Mathematica.

AB - It is shown how to approximate the solution of functional differential equations in terms of Bell's polynomials. Some numerical checks are shown, by using the computer algebra system Mathematica.

KW - Bell's polynomials

KW - Cauchy's initial value problem

KW - multivariate Bell's polynomials

KW - numerical methods for composed-type initial value problems

KW - second-order Bell's polynomials

UR - http://www.scopus.com/inward/record.url?scp=85185580358&partnerID=8YFLogxK

U2 - 10.1515/gmj-2024-2005

DO - 10.1515/gmj-2024-2005

M3 - Article

AN - SCOPUS:85185580358

SN - 1072-947X

VL - 31

SP - 745

EP - 756

JO - Georgian Mathematical Journal

JF - Georgian Mathematical Journal

IS - 5

ER -

Analytic solution to functional differential equations via Bell's polynomials

Abstract

Keywords

Access to Document

Other files and links

Embargoed Document

Fingerprint

Cite this