Publication detail

Two Approaches to Derive Approximate Formulae of NILT Method with Generalization

BRANČÍK, L. AL-ZUBAIDI R-SMITH, N.

Original Title

Two Approaches to Derive Approximate Formulae of NILT Method with Generalization

Type

conference paper

Language

English

Original Abstract

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.

Keywords

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

Authors

BRANČÍK, L.; AL-ZUBAIDI R-SMITH, N.

RIV year

2015

Released

25. 5. 2015

Publisher

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

Location

Opatija, Croatia

ISBN

978-953-233-083-0

Book

Proceedings of MIPRO 2015 - 38th International Convention

ISBN

NEUVEDENO

Pages from

155

Pages to

160

Pages count

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"
}