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