A numerical method for solutions of pantograph type differential equations with variable coefficients using Bernstein polynomials

A numerical method for solutions of pantograph type differential equations with variable coefficients using Bernstein polynomials

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In this paper, a new numerical method based on the Bernstein polynomials is introduced for the approximate solution of pantograph type differential equations with retarded case or advanced case. Either the approximate solutions that are converging to the exact solutions or exact solutions of the pro...

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Main Authors: Salih Yalcinbas, Mehmet Sezer, Hilmi Sorkun
Format: Article
Language:English
Published: BİSKA Bilisim Company 2015-12-01
Series:New Trends in Mathematical Sciences
Subjects:
Differential equations
pantograph equations
collocation solutions
delay differential equations
Bernstein polynomials.
Online Access:https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=5098
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spelling doaj-ce723176f0cb42bf94ccba96f569e57d2020-11-25T01:06:05ZengBİSKA Bilisim CompanyNew Trends in Mathematical Sciences2147-55202147-55202015-12-01341791955098A numerical method for solutions of pantograph type differential equations with variable coefficients using Bernstein polynomialsSalih Yalcinbas0Mehmet Sezer1Hilmi Sorkun2Manisa Celal Bayar UniversityCelal Bayar UniversityCelal Bayar UniversityIn this paper, a new numerical method based on the Bernstein polynomials is introduced for the approximate solution of pantograph type differential equations with retarded case or advanced case. Either the approximate solutions that are converging to the exact solutions or exact solutions of the problems are obtained by using this presented process. In addition, some numerical examples are presented to show the properties of the given method and the results are discussed.https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=5098Differential equationspantograph equationscollocation solutionsdelay differential equationsBernstein polynomials.
collection DOAJ
language English
format Article
sources DOAJ
author Salih Yalcinbas
Mehmet Sezer
Hilmi Sorkun
spellingShingle Salih Yalcinbas
Mehmet Sezer
Hilmi Sorkun
A numerical method for solutions of pantograph type differential equations with variable coefficients using Bernstein polynomials
New Trends in Mathematical Sciences
Differential equations
pantograph equations
collocation solutions
delay differential equations
Bernstein polynomials.
author_facet Salih Yalcinbas
Mehmet Sezer
Hilmi Sorkun
author_sort Salih Yalcinbas
title A numerical method for solutions of pantograph type differential equations with variable coefficients using Bernstein polynomials
title_short A numerical method for solutions of pantograph type differential equations with variable coefficients using Bernstein polynomials
title_full A numerical method for solutions of pantograph type differential equations with variable coefficients using Bernstein polynomials
title_fullStr A numerical method for solutions of pantograph type differential equations with variable coefficients using Bernstein polynomials
title_full_unstemmed A numerical method for solutions of pantograph type differential equations with variable coefficients using Bernstein polynomials
title_sort numerical method for solutions of pantograph type differential equations with variable coefficients using bernstein polynomials
publisher BİSKA Bilisim Company
series New Trends in Mathematical Sciences
issn 2147-5520
2147-5520
publishDate 2015-12-01
description In this paper, a new numerical method based on the Bernstein polynomials is introduced for the approximate solution of pantograph type differential equations with retarded case or advanced case. Either the approximate solutions that are converging to the exact solutions or exact solutions of the problems are obtained by using this presented process. In addition, some numerical examples are presented to show the properties of the given method and the results are discussed.
topic Differential equations
pantograph equations
collocation solutions
delay differential equations
Bernstein polynomials.
url https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=5098
work_keys_str_mv AT salihyalcinbas anumericalmethodforsolutionsofpantographtypedifferentialequationswithvariablecoefficientsusingbernsteinpolynomials
AT mehmetsezer anumericalmethodforsolutionsofpantographtypedifferentialequationswithvariablecoefficientsusingbernsteinpolynomials
AT hilmisorkun anumericalmethodforsolutionsofpantographtypedifferentialequationswithvariablecoefficientsusingbernsteinpolynomials
AT salihyalcinbas numericalmethodforsolutionsofpantographtypedifferentialequationswithvariablecoefficientsusingbernsteinpolynomials
AT mehmetsezer numericalmethodforsolutionsofpantographtypedifferentialequationswithvariablecoefficientsusingbernsteinpolynomials
AT hilmisorkun numericalmethodforsolutionsofpantographtypedifferentialequationswithvariablecoefficientsusingbernsteinpolynomials
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