Cover Image

Numerical inversion of Sumudu transform by orthonormal bernstein polynomials

An approximate method based on operational matrix of integration of the orthonormal Bernstein polynomials is developed for the inversion of Sumudu transform. The procedure is based on replacing the unknown function through a truncated series of Bernstein polynomials basis while the coefficients of t...

Full description

Saved in:
Bibliographic Details
Main Authors: Ayoo, Vanenchii Peter, Aboiyar, Terhemen, Shafie, Sharidan
Format: Conference or Workshop Item
Published: 2023
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/108085/
http://dx.doi.org/10.1063/5.0129903
Tags: Add Tag
No Tags, Be the first to tag this record!
id my.utm.108085
record_format eprints
spelling my.utm.1080852024-10-20T07:51:52Z http://eprints.utm.my/108085/ Numerical inversion of Sumudu transform by orthonormal bernstein polynomials Ayoo, Vanenchii Peter Aboiyar, Terhemen Shafie, Sharidan QA Mathematics An approximate method based on operational matrix of integration of the orthonormal Bernstein polynomials is developed for the inversion of Sumudu transform. The procedure is based on replacing the unknown function through a truncated series of Bernstein polynomials basis while the coefficients of the expansion are obtained using the operational matrix of integration. Error estimation is performed, convergence analysis is carried out using the residual function and the proof shows that the residual function is Cauchy convergent. A test of the proposed method is performed on some Sumudu transforms and the results of their inverse functions as well as their error estimates are obtained. A comparison of the results and the errors with the exact solution and the existing method respectively shows that the proposed method has elevated level of accuracy for just a few terms of the polynomial and it is better than the existing approach. 2023 Conference or Workshop Item PeerReviewed Ayoo, Vanenchii Peter and Aboiyar, Terhemen and Shafie, Sharidan (2023) Numerical inversion of Sumudu transform by orthonormal bernstein polynomials. In: 7th International Conference of Science, Technology, and Interdisciplinary Research, IC-STAR 2021, 26 October 2021-27 October 2021, Virtual, Bandar Lampung, Indonesia. http://dx.doi.org/10.1063/5.0129903
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic QA Mathematics
spellingShingle QA Mathematics
Ayoo, Vanenchii Peter
Aboiyar, Terhemen
Shafie, Sharidan
Numerical inversion of Sumudu transform by orthonormal bernstein polynomials
description An approximate method based on operational matrix of integration of the orthonormal Bernstein polynomials is developed for the inversion of Sumudu transform. The procedure is based on replacing the unknown function through a truncated series of Bernstein polynomials basis while the coefficients of the expansion are obtained using the operational matrix of integration. Error estimation is performed, convergence analysis is carried out using the residual function and the proof shows that the residual function is Cauchy convergent. A test of the proposed method is performed on some Sumudu transforms and the results of their inverse functions as well as their error estimates are obtained. A comparison of the results and the errors with the exact solution and the existing method respectively shows that the proposed method has elevated level of accuracy for just a few terms of the polynomial and it is better than the existing approach.
format Conference or Workshop Item
author Ayoo, Vanenchii Peter
Aboiyar, Terhemen
Shafie, Sharidan
author_facet Ayoo, Vanenchii Peter
Aboiyar, Terhemen
Shafie, Sharidan
author_sort Ayoo, Vanenchii Peter
title Numerical inversion of Sumudu transform by orthonormal bernstein polynomials
title_short Numerical inversion of Sumudu transform by orthonormal bernstein polynomials
title_full Numerical inversion of Sumudu transform by orthonormal bernstein polynomials
title_fullStr Numerical inversion of Sumudu transform by orthonormal bernstein polynomials
title_full_unstemmed Numerical inversion of Sumudu transform by orthonormal bernstein polynomials
title_sort numerical inversion of sumudu transform by orthonormal bernstein polynomials
publishDate 2023
url http://eprints.utm.my/108085/
http://dx.doi.org/10.1063/5.0129903
_version_ 1814043598151221248
score 13.211869

Similar Items