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Reseach Article

A New Numerical Approach for Solving Fractional Bagley-Torvik Equation

by Gül Gözde Biçer Şarlak, Ayşe Anapali, Mustafa Gülsu
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 178 - Number 2
Year of Publication: 2017
Authors: Gül Gözde Biçer Şarlak, Ayşe Anapali, Mustafa Gülsu
10.5120/ijca2017915771

Gül Gözde Biçer Şarlak, Ayşe Anapali, Mustafa Gülsu . A New Numerical Approach for Solving Fractional Bagley-Torvik Equation. International Journal of Computer Applications. 178, 2 ( Nov 2017), 55-59. DOI=10.5120/ijca2017915771

@article{ 10.5120/ijca2017915771,
author = { Gül Gözde Biçer Şarlak, Ayşe Anapali, Mustafa Gülsu },
title = { A New Numerical Approach for Solving Fractional Bagley-Torvik Equation },
journal = { International Journal of Computer Applications },
issue_date = { Nov 2017 },
volume = { 178 },
number = { 2 },
month = { Nov },
year = { 2017 },
issn = { 0975-8887 },
pages = { 55-59 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume178/number2/28650-2017915771/ },
doi = { 10.5120/ijca2017915771 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-07T00:49:20.888520+05:30
%A Gül Gözde Biçer Şarlak
%A Ayşe Anapali
%A Mustafa Gülsu
%T A New Numerical Approach for Solving Fractional Bagley-Torvik Equation
%J International Journal of Computer Applications
%@ 0975-8887
%V 178
%N 2
%P 55-59
%D 2017
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, we present a method which is based on Bernoulli Collocation Method to give approximate solution of the Bagley-Torvik equation. The Bagley-Torvik equation is transformed into a system of algebraic equations by this method and this algebraic equations are solved through by assistance of Maple 2016. Further some numerical examples are given to illustrate and establish the accuracy and reliability of the proposed algorithm.

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Index Terms

Computer Science
Information Sciences

Keywords

Bagley-Torvik equation fractional differantial equation Bernoulli Collocation approximate solution.