Publication result detail

Accuracy comparison of some 2D numerical inverse Laplace transform methods

AL-ZUBAIDI R-SMITH, N.

Original Title

Accuracy comparison of some 2D numerical inverse Laplace transform methods

English Title

Accuracy comparison of some 2D numerical inverse Laplace transform methods

Type

Paper in proceedings outside WoS and Scopus

Original Abstract

Numerical Laplace inversions are essential to use when the analytical manipulations of the Laplace transform tables are not possible to apply, and this becomes more and more difficult for applications with higher number of variables. In this paper we describe three methods for 2D numerical inverse Laplace transforms and analyse the methods as for their accuracy and calculation efficiency by implementing them in the Matlab environment. The relative and absolute errors for three different testing functions with previously known originals are presented in a comparative table for the selected points, and the 3D resulting plots for the inversion of a test function are displayed.

English abstract

Numerical Laplace inversions are essential to use when the analytical manipulations of the Laplace transform tables are not possible to apply, and this becomes more and more difficult for applications with higher number of variables. In this paper we describe three methods for 2D numerical inverse Laplace transforms and analyse the methods as for their accuracy and calculation efficiency by implementing them in the Matlab environment. The relative and absolute errors for three different testing functions with previously known originals are presented in a comparative table for the selected points, and the 3D resulting plots for the inversion of a test function are displayed.

Keywords

Numerical inversion, two-dimensional Laplace transform, test functions, Matlab language, 3D plot.

Key words in English

Numerical inversion, two-dimensional Laplace transform, test functions, Matlab language, 3D plot.

Authors

AL-ZUBAIDI R-SMITH, N.

RIV year

2017

Released

28.04.2016

Publisher

Vysoké učení technické v Brně, Fakulta elektrotechniky a komunikačních

Location

Brno

ISBN

978-80-214-5350-0

Book

Proceedings of the 22nd Conference STUDENT EEICT 2016

Pages from

282

Pages to

287

Pages count

6

BibTex

@inproceedings{BUT124525,
  author="Nawfal {Al-Zubaidi R-Smith}",
  title="Accuracy comparison of some 2D numerical inverse Laplace transform methods",
  booktitle="Proceedings of the 22nd Conference STUDENT EEICT 2016",
  year="2016",
  pages="282--287",
  publisher="Vysoké učení technické v Brně, Fakulta elektrotechniky a komunikačních",
  address="Brno",
  isbn="978-80-214-5350-0"
}