New Family of Iterative Methods for Solving Non-Linear Equations Using New Adomian Polynomials

Rafiq, Arif; Pasha, Ayesha Inam; Lee, Byung-Soo

doi:10.7468/jksmeb.2015.22.3.231

The Pure and Applied Mathematics

2015

DOI: 10.7468/jksmeb.2015.22.3.231

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New Family of Iterative Methods for Solving Non-Linear Equations Using New Adomian Polynomials

Arif Rafiq¹,

Ayesha Inam Pasha²,

Byung-Soo Lee³

Abstract: Abstract. We suggest and analyze a family of multi-step iterative methods for solving nonlinear equations using the decomposition technique mainly due to Rafiq et al. [13].

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2023

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New Predictor-Corrector Methods Based on Adomian Decomposition Technique and Quadrature Rule for Solving Nonlinear Equations

Saeed

Ali

Batiha

et al. 2023

Preprint

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This study presents two efficient iterative methods for solving nonlinear equations using Adomian decomposition technique and a quadrature rule. The proposed methods are free of second derivatives and exhibit a higher order of convergence through a predictor-corrector scheme. Their effectiveness is verified by testing them on various mathematical models and comparing their performance against several well-known methods. Graphical analysis is also presented to validate the numerical results. MSC2020: 65H05, 65B99

show abstract

New Predictor-Corrector Methods Based on Adomian Decomposition Technique and Quadrature Rule for Solving Nonlinear Equations

Saeed

Ali

Batiha

et al. 2023

Preprint

View full text Add to dashboard Cite

show abstract

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New Family of Iterative Methods for Solving Non-Linear Equations Using New Adomian Polynomials

Abstract: Abstract. We suggest and analyze a family of multi-step iterative methods for solving nonlinear equations using the decomposition technique mainly due to Rafiq et al. [13].

Cited by 1 publication

References 10 publications

New Predictor-Corrector Methods Based on Adomian Decomposition Technique and Quadrature Rule for Solving Nonlinear Equations

New Predictor-Corrector Methods Based on Adomian Decomposition Technique and Quadrature Rule for Solving Nonlinear Equations

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