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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Also, Some numerical examples are presented to illustrate the efficiency of the method
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper, we introduce a numerical method for solving linear Fredholm integro-differential equations of the first order.
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Key Findings & Data:To solve these equations, we consider the equation solution approximately from rationalized Haar (RH) functions.
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Conclusion & Impact:Also, Some numerical examples are presented to illustrate the efficiency of the method
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Block-Pulse Functions · Operational matrix · Volterra integral equations
Abstract
In this paper, we introduce a numerical method for solving linear Fredholm integro-differential equations of the first order. To solve these equations, we consider the equation solution approximately from rationalized Haar (RH) functions. The numerical solution of a linear integro-differential equation reduces to solving a linear system of algebraic equations. Also, Some numerical examples are presented to illustrate the efficiency of the method
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Cite This Article
Khaireddine, F., Fateh, E. (2016). Numerical solution of linear integro-differential equation by using modified Haar wavelets. Hacettepe Journal of Mathematics and Statistics, Volume: 45 Issue: 5. https://ajindex.com/articles/1403097