The results have been obtained by using computer program MATLAB.
📌 3 Key Takeaways
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Objective & Hypothesis:In this study, a numerical method is developed for the approximate solution of the linear Volterra integro-differential equations.
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Key Findings & Data:This method is based Boole polynomial, its derivatives and the collocation points.
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Conclusion & Impact:The results have been obtained by using computer program MATLAB.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Boole polynomial · linear Volterra integro-differential equation · collocation points
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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