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   4,456 Downloads  6,562 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   1,999 Downloads  2,580 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   5,659 Downloads  10,786 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   3,632 Downloads  6,825 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   61 Downloads  154 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   2,308 Downloads  3,001 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   1,244 Downloads  1,756 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   4,576 Downloads  5,108 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   4,199 Downloads  4,861 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   7,035 Downloads  8,152 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   4,298 Downloads  8,577 Views  Citations

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   170 Downloads  292 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   3,765 Downloads  6,203 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   2,446 Downloads  2,922 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   2,425 Downloads  2,972 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   287 Downloads  451 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   3,888 Downloads  4,676 Views  Citations

Numerical Simulation of Freak Wave Generation in Irregular Wave Train (Articles)

Lei Wang, Jinxuan Li, Shuxue Li

Journal of Applied Mathematics and Physics Vol.3 No.8，August 26, 2015

DOI: 10.4236/jamp.2015.38129   2,998 Downloads  3,420 Views  Citations

Common Fixed Point Iterations of Generalized Asymptotically Quasi-Nonexpansive Mappings in Hyperbolic Spaces (Articles)

H. Fukhar-ud-din, A. R. Khan

Journal of Applied Mathematics and Physics Vol.2 No.5，April 25, 2014

DOI: 10.4236/jamp.2014.25021   3,342 Downloads  4,562 Views  Citations

Iterative Method Based on the Truncated Technique for Backward Heat Conduction Problem with Variable Coefficient (Articles)

Hongwu Zhang, Xiaoju Zhang

Open Access Library Journal Vol.2 No.4，April 27, 2015

DOI: 10.4236/oalib.1101501   1,086 Downloads  1,488 Views  Citations