Detail publikace

Two Approaches to Derive Approximate Formulae of NILT Method with Generalization

BRANČÍK, L. AL-ZUBAIDI R-SMITH, N.

Originální název

Two Approaches to Derive Approximate Formulae of NILT Method with Generalization

Typ

článek ve sborníku ve WoS nebo Scopus

Jazyk

angličtina

Originální abstrakt

The paper deals with relationship between two approaches to derive approximate formulae of one specific numerical inverse Laplace transform (NILT) method, which is based on the approximation of the exp(st) function in the definition Bromwich integral, and the method based on the direct numerical integration of this ILT integral. It is shown that respective approximate formulae can also be derived by integrating the Bromwich integral numerically provided the integration path and the step are properly chosen as time-dependent. The generalization of the NILT formulae is also suggested leading to possibility to predict a limiting absolute error. The experimental error analysis is performed in the Matlab program for properly chosen Laplace transforms, and modified usage of Euler transformation to accelerate convergence of infinite series is tested successfully.

Klíčová slova

numerical inverse Laplace transform, approximate formula, residue theorem, Bromwich integral, Euler transformation, accelerating convergence, absolutní chyba

Autoři

BRANČÍK, L.; AL-ZUBAIDI R-SMITH, N.

Rok RIV

2015

Vydáno

25. 5. 2015

Nakladatel

Croatian Society for Information and Communication Technology, Electronics and Microelectronics - MIPRO

Místo

Opatija, Croatia

ISBN

978-953-233-083-0

Kniha

Proceedings of MIPRO 2015 - 38th International Convention

ISSN

NEUVEDENO

Strany od

155

Strany do

160

Strany počet

6

URL

https://ieeexplore.ieee.org/document/7160256

BibTex

@inproceedings{BUT114749,
  author="Lubomír {Brančík} and Nawfal {Al-Zubaidi R-Smith}",
  title="Two Approaches to Derive Approximate Formulae of NILT Method with Generalization",
  booktitle="Proceedings of MIPRO 2015 - 38th International Convention",
  year="2015",
  pages="155--160",
  publisher="Croatian Society for Information and Communication Technology, Electronics and Microelectronics - MIPRO",
  address="Opatija, Croatia",
  doi="10.1109/MIPRO.2015.7160256",
  isbn="978-953-233-083-0",
  url="https://ieeexplore.ieee.org/document/7160256"
}