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Journals / Mathematical and Computational Applications / 2015 / Cilt: 20 - Sayı: 2

SHIFTED JACOBI COLLOCATION METHOD BASED ON OPERATIONAL MATRIX FOR SOLVING THE SYSTEMS OF FREDHOLM AND VOLTERRA INTEGRAL EQUATIONS

Abdollah Borhanifar and Khadijeh SADRİ
Pages
76–93
DOI
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⚡ TL;DR(Too Long; Didn't Read)

Also, several theorems, which are related to the convergence of the proposed method, will be presented.

📌 3 Key Takeaways

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Objective & Hypothesis:This paper aims to construct a general formulation for the shifted Jacobi operational matrices of integration and product.
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Key Findings & Data:Illustrative examples are included to demonstrate the validity and efficiency of the presented method.
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Conclusion & Impact:Also, several theorems, which are related to the convergence of the proposed method, will be presented.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

This paper aims to construct a general formulation for the shifted Jacobi operational matrices of integration and product. The main aim is to generalize the Jacobi integral and product operational matrices to the solving system of Fredholm and Volterra equations. These matrices together with the collocation method are applied to reduce the solution of these problems to the solution of a system of algebraic equations. The method is applied to solve system of linear and nonlinear Fredholm and Volterra equations. Illustrative examples are included to demonstrate the validity and efficiency of the presented method. Also, several theorems, which are related to the convergence of the proposed method, will be presented.

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Cite This Article

SADRİ, A. B. A. K. (2015). SHIFTED JACOBI COLLOCATION METHOD BASED ON OPERATIONAL MATRIX FOR SOLVING THE SYSTEMS OF FREDHOLM AND VOLTERRA INTEGRAL EQUATIONS. Mathematical and Computational Applications, Cilt: 20 - Sayı: 2, 76–93. https://ajindex.com/articles/279774

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