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

Czech Title

Nový semianalytický přístup pro numerické řešení Cachyova problému pro diferenciální rovnice se zpožděním

English Title

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

Type

journal article

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.

Czech abstract

V článku je prezentován nový semianalytický přístup pro FDEs založený na kombinaci krokové metody a diferenciální transformační metody. tento přístup redukuje původní Cachyovu úlohu pro zpožděné nebo neutrální rovnice na Cachyovu úlohu pro obyčejné diferenciální rovnice pro které je DTM efektivní a vhodnou metodou.

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

Pages from

4725

Pages to

4733

Pages count

9

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"
}