Iterative Methods; Simple-Root of Nonlinear Equations; Newton’s Method - Articles

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 4,345 Downloads 7,603 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 6,646 Downloads 12,779 Views Citations
Hybrid Steffensen’s Method for Solving Nonlinear Equation (Articles)

Hamideh Eskandari

Applied Mathematics Vol.13 No.9, September 2, 2022

DOI: 10.4236/am.2022.139046 424 Downloads 2,028 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 766 Downloads 3,237 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 2,862 Downloads 4,578 Views Citations
Solving Large Scale Nonlinear Equations by a New ODE Numerical Integration Method (Articles)

Tianmin Han, Yuhuan Han

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

DOI: 10.4236/am.2010.13027 9,481 Downloads 18,918 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 4,930 Downloads 7,004 Views Citations
Solution of Delay Differential Equations Using a Modified Power Series Method (Articles)

Oladotun Matthew Ogunlaran, Adeyemi Sunday Olagunju

Applied Mathematics Vol.6 No.4, April 17, 2015

DOI: 10.4236/am.2015.64061 4,466 Downloads 7,540 Views Citations
Computational Solutions of Two Dimensional Convection Diffusion Equation Using Crank-Nicolson and Time Efficient ADI (Articles)

Muhammad Saqib, Shahid Hasnain, Daoud Suleiman Mashat

American Journal of Computational Mathematics Vol.7 No.3, August 3, 2017

DOI: 10.4236/ajcm.2017.73019 2,433 Downloads 7,153 Views Citations
Positive Definite Solutions for the System of Nonlinear Matrix Equations X + A^*Y^-nA = I, Y + B^*X^-mB = I (Articles)

Salah M. El-Sayed, Asmaa M. Al-Dubiban

Applied Mathematics Vol.5 No.13, July 15, 2014

DOI: 10.4236/am.2014.513190 3,388 Downloads 4,714 Views Citations
Multistep Quadrature Based Methods for Nonlinear System of Equations with Singular Jacobian (Articles)

Oghovese Ogbereyivwe, Kingsley Obiajulu Muka

Journal of Applied Mathematics and Physics Vol.7 No.3, March 28, 2019

DOI: 10.4236/jamp.2019.73049 845 Downloads 1,977 Views Citations
This article belongs to the Special Issue on Optimization and Its Applications
Steffensen-Type Method of Super Third-Order Convergence for Solving Nonlinear Equations (Articles)

Zhongli Liu, Hong Zhang

Journal of Applied Mathematics and Physics Vol.2 No.7, June 13, 2014

DOI: 10.4236/jamp.2014.27064 5,339 Downloads 7,458 Views Citations
The Continuous Analogy of Newton’s Method for Solving a System of Linear Algebraic Equations (Articles)

Tugal Zhanlav, Ochbadrakh Chuluunbaatar, Gantumur Ankhbayar

Applied Mathematics Vol.4 No.1A, January 30, 2013

DOI: 10.4236/am.2013.41A032 3,475 Downloads 6,574 Views Citations
This article belongs to the Special Issue on Numerical Analysis
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 5,343 Downloads 6,673 Views Citations
Probabilistic Approach to the Asynchronous Iteration (Articles)

A. S. Rasulov, M. T. Bakoev, D. R. Akabirhodjaeva

Journal of Applied Mathematics and Physics Vol.2 No.1, January 9, 2014

DOI: 10.4236/jamp.2014.21006 2,304 Downloads 4,005 Views Citations
An Efficient Algorithm for the Numerical Computation of the Complex Eigenpair of a Matrix (Articles)

R. O. Akinola, K. Musa, I. A. Nyam, S. Y. Kutchin, K. V. Joshua

Journal of Applied Mathematics and Physics Vol.5 No.3, March 24, 2017

DOI: 10.4236/jamp.2017.53057 1,532 Downloads 2,850 Views Citations
High-Order Iterative Methods Repeating Roots a Constructive Recapitulation (Articles)

Isaac Fried

Applied Mathematics Vol.13 No.2, February 18, 2022

DOI: 10.4236/am.2022.132011 336 Downloads 1,349 Views Citations
Computational Methods in the Theory of Synthesis of Radio and Acoustic Radiating Systems (Articles)

Petro Savenko

Applied Mathematics Vol.4 No.3, March 27, 2013

DOI: 10.4236/am.2013.43078 3,560 Downloads 6,720 Views Citations
Operator Splitting Method for Coupled Problems:Transport and Maxwell Equations (Articles)

Jürgen Geiser

American Journal of Computational Mathematics Vol.1 No.3, September 19, 2011

DOI: 10.4236/ajcm.2011.13019 5,079 Downloads 10,276 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 4,587 Downloads 9,005 Views Citations

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