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 5,212 Downloads 8,344 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 3,000 Downloads 4,761 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 6,409 Downloads 12,201 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 4,383 Downloads 8,459 Views Citations
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 113 Downloads 541 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 621 Downloads 2,635 Views Citations
This article belongs to the Special Issue on Number Theory
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 2,710 Downloads 4,102 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 1,838 Downloads 3,130 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 5,195 Downloads 6,217 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 7,461 Downloads 10,005 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 4,751 Downloads 6,387 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 4,856 Downloads 9,607 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 142 Downloads 438 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 627 Downloads 1,573 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 164 Downloads 630 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 4,165 Downloads 7,115 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 2,918 Downloads 3,734 Views Citations
Result on the Convergence Behavior of Solutions of Certain System of Third-Order Nonlinear Differential Equations (Articles)

Akinwale L. Olutimo

Int'l J. of Modern Nonlinear Theory and Application Vol.5 No.1，March 7, 2016

DOI: 10.4236/ijmnta.2016.51005 2,774 Downloads 3,709 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 700 Downloads 1,459 Views Citations
A New Modification of the Method of Lines for First Order Hyperbolic PDEs (Articles)

Fatmah M. Alabdali, Huda Omar Bakodah

Applied Mathematics Vol.5 No.10，June 3, 2014

DOI: 10.4236/am.2014.510138 4,640 Downloads 5,847 Views Citations

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