A Numerical Approach Based on Exponential Polynomials for solving of Fredholm Integro-Differential-Difference Equations

A Numerical Approach Based on Exponential Polynomials for solving of Fredholm Integro-Differential-Difference Equations

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In this study, a matrix method based on exponential polynomials by means of collocation points is proposed to solve the higher-order linear Fredholm integro-differential-difference equa- tions under the initial-boundary conditions. In addition, an error analysis technique based on residual function...

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Bibliographic Details
Main Authors: Mehmet BALCI, Mehmet Sezer
Format: Article
Language:English
Published: BİSKA Bilisim Company 2015-02-01
Series:New Trends in Mathematical Sciences
Subjects:
Exponential Polynomials; Fredholm Integro-Differential-Difference Equations; Matrix Method; Residual Error Analysis.
Online Access:http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=61
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spelling doaj-df0388aa2e2a4ae2b773bece16bba8df2020-11-24T21:57:30ZengBİSKA Bilisim CompanyNew Trends in Mathematical Sciences2147-55202147-55202015-02-0132445461A Numerical Approach Based on Exponential Polynomials for solving of Fredholm Integro-Differential-Difference EquationsMehmet BALCI0Mehmet BALCI1Mehmet Sezer2Mugla Sitki Kocman UniversityMugla Sitki Kocman UniversityCelal Bayar universityIn this study, a matrix method based on exponential polynomials by means of collocation points is proposed to solve the higher-order linear Fredholm integro-differential-difference equa- tions under the initial-boundary conditions. In addition, an error analysis technique based on residual function is developed for our method. Illustrative examples are included to demostrate the validity and applicability of the presented technique.http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=61Exponential Polynomials; Fredholm Integro-Differential-Difference Equations; Matrix Method; Residual Error Analysis.
collection DOAJ
language English
format Article
sources DOAJ
author Mehmet BALCI
Mehmet BALCI
Mehmet Sezer
spellingShingle Mehmet BALCI
Mehmet BALCI
Mehmet Sezer
A Numerical Approach Based on Exponential Polynomials for solving of Fredholm Integro-Differential-Difference Equations
New Trends in Mathematical Sciences
Exponential Polynomials; Fredholm Integro-Differential-Difference Equations; Matrix Method; Residual Error Analysis.
author_facet Mehmet BALCI
Mehmet BALCI
Mehmet Sezer
author_sort Mehmet BALCI
title A Numerical Approach Based on Exponential Polynomials for solving of Fredholm Integro-Differential-Difference Equations
title_short A Numerical Approach Based on Exponential Polynomials for solving of Fredholm Integro-Differential-Difference Equations
title_full A Numerical Approach Based on Exponential Polynomials for solving of Fredholm Integro-Differential-Difference Equations
title_fullStr A Numerical Approach Based on Exponential Polynomials for solving of Fredholm Integro-Differential-Difference Equations
title_full_unstemmed A Numerical Approach Based on Exponential Polynomials for solving of Fredholm Integro-Differential-Difference Equations
title_sort numerical approach based on exponential polynomials for solving of fredholm integro-differential-difference equations
publisher BİSKA Bilisim Company
series New Trends in Mathematical Sciences
issn 2147-5520
2147-5520
publishDate 2015-02-01
description In this study, a matrix method based on exponential polynomials by means of collocation points is proposed to solve the higher-order linear Fredholm integro-differential-difference equa- tions under the initial-boundary conditions. In addition, an error analysis technique based on residual function is developed for our method. Illustrative examples are included to demostrate the validity and applicability of the presented technique.
topic Exponential Polynomials; Fredholm Integro-Differential-Difference Equations; Matrix Method; Residual Error Analysis.
url http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=61
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AT mehmetsezer anumericalapproachbasedonexponentialpolynomialsforsolvingoffredholmintegrodifferentialdifferenceequations
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