Boole approximation method with residual error function to solve linear Volterra integro-differential equations

Kübra ERDEM BİÇER; Hale Gül DAĞ

doi:https://doi.org/10.18466/cbayarfbe.791302

Makale detayları

Boole approximation method with residual error function to solve linear Volterra integro-differential equations

Yazarlar:

Kübra ERDEM BİÇER | Hale Gül DAĞ

Yayıncı:

Celal Bayar University

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Celal Bayar University Journal of Science 2021 Vol.17 Issue 1, pp.59-66

Belge Tipi:

Makale

Yayın Tarihi:

12/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000705772

Sıklık:

Üç Aylık

eISSN:

1305-1385

pISSN:

1305-130X

DOI:

https://doi.org/10.18466/cbayarfbe.791302

Özet:

 

In this study, a numerical method is developed for the approximate solution of the linear Volterra integro-differential equations. This method is based Boole polynomial, its 
derivatives and the collocation points. The aim is to reduce the given problem, as the linear algebraic equation, to the matrix equation. This matrix equation is solved using Boole collocation points. As a result, the approximate solution is obtained in the truncated Boole series in the interval [a,b]. The exact solution and the approximate solution are included in the study. Also, the error analysis and residual correction calculations are performed in the study. The results have been obtained by using computer program MATLAB.

Makale detayları

Boole approximation method with residual error function to solve linear Volterra integro-differential equations

Yazarlar: Kübra ERDEM BİÇER | Hale Gül DAĞ

Yayıncı: Celal Bayar University

Ana Başlıklar: Uygulamalı fizik

Dergi: Celal Bayar University Journal of Science 2021 Vol.17 Issue 1, pp.59-66

Belge Tipi: Makale

Yayın Tarihi: 12/2020

Belge Dili: İngilizce

Document ID (Org No.): 2000705772

Sıklık: Üç Aylık

eISSN: 1305-1385

pISSN: 1305-130X

DOI: https://doi.org/10.18466/cbayarfbe.791302

Sayı

Yazarlar:

Kübra ERDEM BİÇER | Hale Gül DAĞ

Yayıncı:

Celal Bayar University

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Celal Bayar University Journal of Science 2021 Vol.17 Issue 1, pp.59-66

Belge Tipi:

Makale

Yayın Tarihi:

12/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000705772

Sıklık:

Üç Aylık

eISSN:

1305-1385

pISSN:

1305-130X

DOI:

https://doi.org/10.18466/cbayarfbe.791302