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Journals / Hacettepe Journal of Mathematics and Statistics / 2018 / Cilt: 47 - Sayı: 1

New higher order iterative methods for solving nonlinear equations

Faisal ALI
Shuliang HUANG
Arif RAFIG
Muhammad Rizwan SHAHZAD
Pages
77–91
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

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

We study the convergence analysis and also present various numerical examples to demonstrate the validity and efficiency of our methods.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, using the system of coupled equations involving an auxiliary function, we introduce some new efficient higher order iterative methods based on modified homotopy perturbation method.
📊
Key Findings & Data:In this paper, using the system of coupled equations involving an auxiliary function, we introduce some new efficient higher order iterative methods based on modified homotopy perturbation method.
💡
Conclusion & Impact:We study the convergence analysis and also present various numerical examples to demonstrate the validity and efficiency of our methods.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Iterative methods · Nonlinear equations · Order of convergence

Abstract

In this paper, using the system of coupled equations involving an auxiliary function, we introduce some new efficient higher order iterative methods based on modified homotopy perturbation method. We study the convergence analysis and also present various numerical examples to demonstrate the validity and efficiency of our methods.

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Cite This Article

ALI, F., HUANG, S., RAFIG, A., SHAHZAD, M. R. (2022). New higher order iterative methods for solving nonlinear equations. Hacettepe Journal of Mathematics and Statistics, Cilt: 47 - Sayı: 1, 77–91. https://ajindex.com/articles/529899

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