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Journals / Communications in Advanced Mathematical Sciences / 2019 / Cilt: 2 - Sayı: 3

Solving FIDEs by Using Semi-Analytical Techniques

Ahmed A. HAMOUD
Kirtiwant P. GHADLE
Nedal M. MOHAMMED
Pages
192–198
Publication Date
2019-09-30
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

To illustrate the methods, an example is presented.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This paper mainly focuses on the recent advances in the semi-analytical approximated methods for solving Fredholm Integro-Differential Equations (FIDEs) of the second kind by using Variational Iteration Method (VIM), Homotopy Perturbation Method (HPM) and Direct Homotopy Analysis Method (DHAM).
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Key Findings & Data:Convergence analysis of the exact solution of the proposed methods is established.
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Conclusion & Impact:To illustrate the methods, an example is presented.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Fredholm integro-differential equation · variational iteration method · homotopy perturbation method

Abstract

This paper mainly focuses on the recent advances in the semi-analytical approximated methods for solving Fredholm Integro-Differential Equations (FIDEs) of the second kind by using Variational Iteration Method (VIM), Homotopy Perturbation Method (HPM) and Direct Homotopy Analysis Method (DHAM). Convergence analysis of the exact solution of the proposed methods is established. Moreover, we proved the uniqueness of the solution. To illustrate the methods, an example is presented.

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Cite This Article

HAMOUD, A. A., GHADLE, K. P., MOHAMMED, N. M. (2019). Solving FIDEs by Using Semi-Analytical Techniques. Communications in Advanced Mathematical Sciences, Cilt: 2 - Sayı: 3, 192–198. https://ajindex.com/articles/748285

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