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Dergiler / 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
Sayfa
77–91
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez: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.
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Temel Bulgular & Veri: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.
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Sonuç & Katkı:We study the convergence analysis and also present various numerical examples to demonstrate the validity and efficiency of our methods.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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