Publication detail

An application of Bell polynomials in numerical solving of nonlinear differential equations

REBENDA, J.

Original Title

An application of Bell polynomials in numerical solving of nonlinear differential equations

English Title

An application of Bell polynomials in numerical solving of nonlinear differential equations

Type

conference paper

Language

en

Original Abstract

Partial ordinary Bell polynomials are used to formulate and prove a version of the Fa\`{a} di Bruno's formula which is convenient for handling nonlinear terms in the differential transformation. Applicability of the result is shown in two examples of solving the initial value problem for differential equations which are nonlinear with respect to the dependent variable.

English abstract

Partial ordinary Bell polynomials are used to formulate and prove a version of the Fa\`{a} di Bruno's formula which is convenient for handling nonlinear terms in the differential transformation. Applicability of the result is shown in two examples of solving the initial value problem for differential equations which are nonlinear with respect to the dependent variable.

Keywords

Faa di Bruno's formula, Bell polynomials, Differential transformation, Nonlinear differential equations

Released

05.06.2018

Publisher

Spektrum STU

Location

Bratislava

ISBN

978-80-227-4765-3

Book

17th CONFERENCE ON APPLIED MATHEMATICS APLIMAT 2018 PROCEEDINGS

Edition number

1

Pages from

891

Pages to

900

Pages count

10

URL

BibTex


@inproceedings{BUT151650,
  author="Josef {Rebenda}",
  title="An application of Bell polynomials in numerical solving of nonlinear differential equations",
  annote="Partial ordinary Bell polynomials are used to formulate and prove a version of the Fa\`{a} di Bruno's formula which is convenient for handling nonlinear terms in the differential transformation. Applicability of the result is shown in two examples of solving the initial value problem for differential equations which are nonlinear with respect to the dependent variable.",
  address="Spektrum STU",
  booktitle="17th CONFERENCE ON APPLIED MATHEMATICS APLIMAT 2018 PROCEEDINGS",
  chapter="151650",
  howpublished="online",
  institution="Spektrum STU",
  year="2018",
  month="june",
  pages="891--900",
  publisher="Spektrum STU",
  type="conference paper"
}