Publication detail

A New Semi-analytical Approach for Numerical Solving of Cauchy Problem for Differential Equations with Delay

REBENDA, J. ŠMARDA, Z. KHAN, Y.

Original Title

A New Semi-analytical Approach for Numerical Solving of Cauchy Problem for Differential Equations with Delay

English Title

A New Semi-analytical Approach for Numerical Solving of Cauchy Problem for Differential Equations with Delay

Type

journal article in Web of Science

Language

en

Original Abstract

In the paper, we present new semi-analytical approach for FDE’s consisting in combination of the method of steps and a technique called differential transformation method (DTM). This approach reduces the original Cauchy problem for delayed or neutral differential equation to Cauchy problem for ordinary differential equation for which DTM is convenient and efficient method.

English abstract

In the paper, we present new semi-analytical approach for FDE’s consisting in combination of the method of steps and a technique called differential transformation method (DTM). This approach reduces the original Cauchy problem for delayed or neutral differential equation to Cauchy problem for ordinary differential equation for which DTM is convenient and efficient method.

Keywords

Differential transformation method; method of steps; Cauchy problem; Delayed differential equations

Released

11.11.2017

Location

Srbsko

ISBN

0354-5180

Periodical

FILOMAT

Year of study

31

Number

15

State

RS

Pages from

4725

Pages to

4733

Pages count

9

Documents

BibTex 


@article{BUT141239,
  author="Josef {Rebenda} and Zdeněk {Šmarda} and Yasir {Khan}",
  title="A New Semi-analytical Approach for Numerical Solving of Cauchy Problem for Differential Equations with Delay",
  annote="In the paper, we present new semi-analytical approach for FDE’s consisting in combination of the
method of steps and a technique called differential transformation method (DTM). This approach reduces the original Cauchy problem for delayed or neutral differential equation to Cauchy problem for ordinary differential equation for which DTM is convenient and efficient method.",
  chapter="141239",
  doi="10.2298/FIL1715725R",
  howpublished="online",
  number="15",
  volume="31",
  year="2017",
  month="november",
  pages="4725--4733",
  type="journal article in Web of Science"
}