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Boole approximation method with residual error function to solve linear Volterra integro-differential equations
2021
Journal:  
Celal Bayar Üniversitesi Fen Bilimleri Dergisi
Author:  
Abstract:

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.

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2021
Author:  
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2021
Author:  
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Celal Bayar Üniversitesi Fen Bilimleri Dergisi

Field :   Fen Bilimleri ve Matematik; Mühendislik

Journal Type :   Uluslararası

Metrics
Article : 762
Cite : 730
2023 Impact : 0.029
Celal Bayar Üniversitesi Fen Bilimleri Dergisi