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Least-Squares Collocation Bernstein Method for Solving System of Linear Fractional Integro-diffrential Equations

by Oyedepo Taiye, Ayinde Muhammed Abdullahi, Adenipekun Adewale Emmanuel, Ajileye Ganiyu
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 183 - Number 22
Year of Publication: 2021
Authors: Oyedepo Taiye, Ayinde Muhammed Abdullahi, Adenipekun Adewale Emmanuel, Ajileye Ganiyu
10.5120/ijca2021921596

Oyedepo Taiye, Ayinde Muhammed Abdullahi, Adenipekun Adewale Emmanuel, Ajileye Ganiyu . Least-Squares Collocation Bernstein Method for Solving System of Linear Fractional Integro-diffrential Equations. International Journal of Computer Applications. 183, 22 ( Aug 2021), 46-50. DOI=10.5120/ijca2021921596

@article{ 10.5120/ijca2021921596,
author = { Oyedepo Taiye, Ayinde Muhammed Abdullahi, Adenipekun Adewale Emmanuel, Ajileye Ganiyu },
title = { Least-Squares Collocation Bernstein Method for Solving System of Linear Fractional Integro-diffrential Equations },
journal = { International Journal of Computer Applications },
issue_date = { Aug 2021 },
volume = { 183 },
number = { 22 },
month = { Aug },
year = { 2021 },
issn = { 0975-8887 },
pages = { 46-50 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume183/number22/32061-2021921596/ },
doi = { 10.5120/ijca2021921596 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-07T01:17:35.677388+05:30
%A Oyedepo Taiye
%A Ayinde Muhammed Abdullahi
%A Adenipekun Adewale Emmanuel
%A Ajileye Ganiyu
%T Least-Squares Collocation Bernstein Method for Solving System of Linear Fractional Integro-diffrential Equations
%J International Journal of Computer Applications
%@ 0975-8887
%V 183
%N 22
%P 46-50
%D 2021
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This study gears towards finding a new simple numerical algorithm to solve system of linear fractional integro-differential equations. The technique involves the application of Caputo properties, the properties of Bernstein polynomials and least square collocation approach to reduce the problem to system of linear algebraic equations and then solved. To demonstrate the accuracy and applicability of the presented method some numerical examples are given. Numerical results show that the method is easy to implement and compares favorably with the exact results. The graphical solution of the method is displayed.

References
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Index Terms

Computer Science
Information Sciences

Keywords

System of linear fractional integro- differential equations least squares collocation Bernstein polynomials

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