Numerical inversion method for the Laplace transform based on Boubaker polynomials operational matrix

Rachid Belgacem; Ahmed Bokhari; Salih Djilali; Sunil Kumar

doi:10.1142/S1793962322500106

Numerical inversion method for the Laplace transform based on Boubaker polynomials operational matrix

Rachid Belgacem
, Ahmed Bokhari
, Salih Djilali
, Sunil Kumar

Benbouali Hassiba University of Chlef
Abou Bakr Belkaïd University of Tlemcen
National Institute of Technology Jamshedpur

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We investigate through this research the numerical inversion technique for the Laplace transforms cooperated by the integration Boubaker polynomials operational matrix. The efficiency of the presented approach is demonstrated by solving some differential equations. Also, this technique is combined with the standard Laplace Homotopy Perturbation Method. The numerical results highlight that there is a very good agreement between the estimated solutions with exact solutions.

Original language	English
Article number	2250010
Journal	International Journal of Modeling, Simulation, and Scientific Computing
Volume	13
Issue number	1
DOIs	https://doi.org/10.1142/S1793962322500106
State	Published - 1 Feb 2022
Externally published	Yes

Keywords

Boubaker polynomials operational matrix
Laplace transform
homotopy perturbation method
numerical method

Access to Document

10.1142/S1793962322500106

Cite this

@article{38f33013ead24a18b653c0b431185f48,

title = "Numerical inversion method for the Laplace transform based on Boubaker polynomials operational matrix",

abstract = "We investigate through this research the numerical inversion technique for the Laplace transforms cooperated by the integration Boubaker polynomials operational matrix. The efficiency of the presented approach is demonstrated by solving some differential equations. Also, this technique is combined with the standard Laplace Homotopy Perturbation Method. The numerical results highlight that there is a very good agreement between the estimated solutions with exact solutions.",

keywords = "Boubaker polynomials operational matrix, Laplace transform, homotopy perturbation method, numerical method",

author = "Rachid Belgacem and Ahmed Bokhari and Salih Djilali and Sunil Kumar",

note = "Publisher Copyright: {\textcopyright} 2022 World Scientific Publishing Company.",

year = "2022",

month = feb,

day = "1",

doi = "10.1142/S1793962322500106",

language = "English",

volume = "13",

journal = "International Journal of Modeling, Simulation, and Scientific Computing",

issn = "1793-9623",

publisher = "World Scientific",

number = "1",

}

TY - JOUR

T1 - Numerical inversion method for the Laplace transform based on Boubaker polynomials operational matrix

AU - Belgacem, Rachid

AU - Bokhari, Ahmed

AU - Djilali, Salih

AU - Kumar, Sunil

PY - 2022/2/1

Y1 - 2022/2/1

N2 - We investigate through this research the numerical inversion technique for the Laplace transforms cooperated by the integration Boubaker polynomials operational matrix. The efficiency of the presented approach is demonstrated by solving some differential equations. Also, this technique is combined with the standard Laplace Homotopy Perturbation Method. The numerical results highlight that there is a very good agreement between the estimated solutions with exact solutions.

AB - We investigate through this research the numerical inversion technique for the Laplace transforms cooperated by the integration Boubaker polynomials operational matrix. The efficiency of the presented approach is demonstrated by solving some differential equations. Also, this technique is combined with the standard Laplace Homotopy Perturbation Method. The numerical results highlight that there is a very good agreement between the estimated solutions with exact solutions.

KW - Boubaker polynomials operational matrix

KW - Laplace transform

KW - homotopy perturbation method

KW - numerical method

UR - https://www.scopus.com/pages/publications/85125017752

U2 - 10.1142/S1793962322500106

DO - 10.1142/S1793962322500106

M3 - Article

AN - SCOPUS:85125017752

SN - 1793-9623

VL - 13

JO - International Journal of Modeling, Simulation, and Scientific Computing

JF - International Journal of Modeling, Simulation, and Scientific Computing

IS - 1

M1 - 2250010

ER -

Numerical inversion method for the Laplace transform based on Boubaker polynomials operational matrix

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this