Halley Method; Jarratt Method; Iterative Methods; Convergence Order; Numerical Examples - Articles

New Ninth Order J-Halley Method for Solving Nonlinear Equations (Articles)

Farooq Ahmad, Sajjad Hussain, Sifat Hussain, Arif Rafiq

Applied Mathematics Vol.4 No.12, December 5, 2013

DOI: 10.4236/am.2013.412233 5,384 Downloads 8,917 Views Citations
The Convergences Comparison between the Halley’s Method and Its Extended One Based on Formulas Derivation and Numerical Calculations (Articles)

Shunji Horiguchi

Applied Mathematics Vol.7 No.18, December 27, 2016

DOI: 10.4236/am.2016.718188 3,126 Downloads 5,338 Views Citations
Modified Efficient Families of Two and Three-Step Predictor-Corrector Iterative Methods for Solving Nonlinear Equations (Articles)

Sanjeev Kumar, Vinay Kanwar, Sukhjit Singh

Applied Mathematics Vol.1 No.3, September 29, 2010

DOI: 10.4236/am.2010.13020 6,601 Downloads 12,704 Views Citations
A Family of Methods for Solving Nonlinear Equations with Twelfth-Order Convergence (Articles)

Xilan Liu, Xiaorui Wang

Applied Mathematics Vol.4 No.2, February 27, 2013

DOI: 10.4236/am.2013.42049 4,536 Downloads 8,945 Views Citations
A New Modification of Newton Method with Cubic Convergence (Articles)

Aurelien Goudjo, Louis Kouye

Advances in Pure Mathematics Vol.11 No.1, January 13, 2021

DOI: 10.4236/apm.2021.111001 742 Downloads 3,176 Views Citations
This article belongs to the Special Issue on Number Theory
Comparative Studies between Picard’s and Taylor’s Methods of Numerical Solutions of First Ordinary Order Differential Equations Arising from Real-Life Problems (Articles)

Khalid Abd Elrazig Awad Alla Elnour

Journal of Applied Mathematics and Physics Vol.12 No.3, March 29, 2024

DOI: 10.4236/jamp.2024.123055 285 Downloads 1,125 Views Citations
New Fourth Order Iterative Methods Second Derivative Free (Articles)

Osama Y. Ababneh

Journal of Applied Mathematics and Physics Vol.4 No.3, March 23, 2016

DOI: 10.4236/jamp.2016.43058 2,824 Downloads 4,503 Views Citations
Gauss-Legendre Iterative Methods and Their Applications on Nonlinear Systems and BVP-ODEs (Articles)

Zhongli Liu, Guoqing Sun

Journal of Applied Mathematics and Physics Vol.4 No.11, November 18, 2016

DOI: 10.4236/jamp.2016.411203 1,984 Downloads 3,608 Views Citations
Alternating Group Explicit Iterative Methods for One-Dimensional Advection-Diffusion Equation (Articles)

Ning Chen, Haiming Gu

American Journal of Computational Mathematics Vol.5 No.3, August 31, 2015

DOI: 10.4236/ajcm.2015.53025 5,307 Downloads 6,602 Views Citations
Simpson’s Method for Solution of Nonlinear Equation (Articles)

Hamideh Eskandari

Applied Mathematics Vol.8 No.7, July 14, 2017

DOI: 10.4236/am.2017.87073 7,608 Downloads 10,472 Views Citations
New Fourth and Fifth-Order Iterative Methods for Solving Nonlinear Equations (Articles)

Muhammad Saqib, Muhammad Iqbal, Shahid Ali, Tariq Ismaeel

Applied Mathematics Vol.6 No.8, July 14, 2015

DOI: 10.4236/am.2015.68114 4,898 Downloads 6,926 Views Citations
The Conditions for the Convergence of Power Scaled Matrices and Applications (Articles)

Xuzhou Chen, Robert E. Hartwig

American Journal of Computational Mathematics Vol.1 No.2, June 30, 2011

DOI: 10.4236/ajcm.2011.12007 5,045 Downloads 10,061 Views Citations
The Alternating Group Explicit Iterative Method for the Regularized Long-Wave Equation (Articles)

Anqi Xie, Xiaojia Ye, Guanyu Xue

Journal of Applied Mathematics and Physics Vol.12 No.1, January 22, 2024

DOI: 10.4236/jamp.2024.121006 221 Downloads 753 Views Citations
This article belongs to the Special Issue on Computers and Mathematics with Applications
Explicit Iterative Methods of Second Order and Approximate Inverse Preconditioners for Solving Complex Computational Problems (Articles)

Anastasia-Dimitra Lipitakis

Applied Mathematics Vol.11 No.4, April 22, 2020

DOI: 10.4236/am.2020.114023 797 Downloads 2,130 Views Citations
Some New Systems of Exponentially General Equations (Articles)

Muhammad Aslam Noor, Khalida Inayat Noor

Advances in Linear Algebra & Matrix Theory Vol.12 No.3, September 30, 2022

DOI: 10.4236/alamt.2022.123004 265 Downloads 1,061 Views Citations
Numerical Study of Some Nonlinear Boundary Value Problems (BVPs) with an Efficient Numerical Method (Articles)

Md. Amirul Islam, Nazmun Nahar, S. M. Kamal Hossain

American Journal of Computational Mathematics Vol.15 No.3, August 12, 2025

DOI: 10.4236/ajcm.2025.153015 116 Downloads 699 Views Citations
A New Family of Nonlinear Fifth-Order Solvers for Finding Simple Roots (Articles)

Behzad Ghanbari

Applied Mathematics Vol.3 No.6, June 26, 2012

DOI: 10.4236/am.2012.36088 4,289 Downloads 7,514 Views Citations
Comparison of Fixed Point Methods and Krylov Subspace Methods Solving Convection-Diffusion Equations (Articles)

Xijian Wang

American Journal of Computational Mathematics Vol.5 No.2, June 9, 2015

DOI: 10.4236/ajcm.2015.52010 3,069 Downloads 4,161 Views Citations
Result on the Convergence Behavior of Solutions of Certain System of Third-Order Nonlinear Differential Equations (Articles)

Akinwale L. Olutimo

International Journal of Modern Nonlinear Theory and Application Vol.5 No.1, March 7, 2016

DOI: 10.4236/ijmnta.2016.51005 2,877 Downloads 4,066 Views Citations
Constructive Theory of Designing Optimal Eighth-Order Derivative-Free Methods for Solving Nonlinear Equations (Articles)

Tugal Zhanlav, Khuder Otgondorj, Renchin-Ochir Mijiddorj

American Journal of Computational Mathematics Vol.10 No.1, March 17, 2020

DOI: 10.4236/ajcm.2020.101007 860 Downloads 1,912 Views Citations

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