Iterative Method; Nonlinear Equation; Twelfth-Order Convergence - Articles

Solution of a Two-Degree-of-Freedom Nonlinear Coupled Vibration System Based on the Multiple Scales Method (Articles)

Minghuan Liu

Journal of Applied Mathematics and Physics Vol.14 No.1, January 22, 2026

DOI: 10.4236/jamp.2026.141015 77 Downloads 396 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 3,176 Downloads 5,448 Views Citations
Exact Solution of a Linear Difference Equation in a Finite Number of Steps (Articles)

Albert Iskhakov, Sergey Skovpen

Applied Mathematics Vol.9 No.3, March 29, 2018

DOI: 10.4236/am.2018.93022 2,649 Downloads 4,122 Views Citations
Preconditioned Neural Network Solvers for the Frequency-Domain Wave Equation with Nearly Analytic Discretization (Articles)

Shili Pang, Chao Lang

Advances in Pure Mathematics Vol.16 No.3, March 23, 2026

DOI: 10.4236/apm.2026.163011 81 Downloads 386 Views Citations
Computational Studies of Reaction-Diffusion Systems by Nonlinear Galerkin Method (Articles)

Miroslav Kolář

American Journal of Computational Mathematics Vol.3 No.2, June 25, 2013

DOI: 10.4236/ajcm.2013.32022 4,511 Downloads 7,972 Views Citations
Analytical and Approximate Solutions to the Fee Vibration of Strongly Nonlinear Oscillators (Articles)

Taher A. Nofal, Gamal M. Ismail, Amal Ali M. Mady, Sayed Abdel-Khalek

Journal of Electromagnetic Analysis and Applications Vol.5 No.10, October 29, 2013

DOI: 10.4236/jemaa.2013.510061 3,992 Downloads 6,512 Views Citations
A Gauss-Newton-Based Broyden’s Class Algorithm for Parameters of Regression Analysis (Articles)

Xiangrong Li, Xupei Zhao

Applied Mathematics Vol.2 No.1, January 30, 2011

DOI: 10.4236/am.2011.21005 5,012 Downloads 9,857 Views Citations
Neural Network Approach for Solving Singular Convex Optimization with Bounded Variables (Articles)

Rendong Ge, Lijun Liu, Yi Xu

Open Journal of Applied Sciences Vol.3 No.3, July 17, 2013

DOI: 10.4236/ojapps.2013.33036 3,811 Downloads 6,054 Views Citations
Convergence Properties of Piecewise Power Approximations (Articles)

Arcady Ponosov, Anna Machina, Valeria Tafintseva

Applied Mathematics Vol.7 No.13, August 11, 2016

DOI: 10.4236/am.2016.713124 3,678 Downloads 4,905 Views Citations
This article belongs to the Special Issue on Mathematical Modelling of Natural Phenomena
Some Features of Neural Networks as Nonlinearly Parameterized Models of Unknown Systems Using an Online Learning Algorithm (Articles)

Leonid S. Zhiteckii, Valerii N. Azarskov, Sergey A. Nikolaienko, Klaudia Yu. Solovchuk

Journal of Applied Mathematics and Physics Vol.6 No.1, January 29, 2018

DOI: 10.4236/jamp.2018.61024 877 Downloads 1,916 Views Citations
An Examination of Greenhouse Gas Convergence in OECD Countries (Articles)

Cem Canel, Selahattin Güriş, Recep Öktem, Burak Güriş, Begüm Öktem, Yaşar Serhat Yaşgül, Muhammed Tıraşoğlu

Modern Economy Vol.11 No.1, January 14, 2020

DOI: 10.4236/me.2020.111008 928 Downloads 2,015 Views Citations
Compact Difference Method for Time-Fractional Neutral Delay Nonlinear Fourth-Order Equation (Articles)

Huan Wang, Qing Yang

Engineering Vol.14 No.12, December 29, 2022

DOI: 10.4236/eng.2022.1412041 295 Downloads 1,051 Views Citations
Crank-Nicolson Quasi-Compact Scheme for the Nonlinear Two-Sided Spatial Fractional Advection-Diffusion Equations (Articles)

Dechao Gao, Zeshan Qiu, Lizan Wang, Jianxin Li

Journal of Applied Mathematics and Physics Vol.12 No.4, April 19, 2024

DOI: 10.4236/jamp.2024.124068 204 Downloads 748 Views Citations
An Extended Riccati Equation Method to Find New Solitary Wave Solutions of the Burgers-Fisher Equation (Articles)

Yixinni Liu, Hongyan Pan

Open Journal of Applied Sciences Vol.13 No.8, August 31, 2023

DOI: 10.4236/ojapps.2023.138112 725 Downloads 1,344 Views Citations
Applying the General Riccati Equation to Construct New Solitary Wave Solutions with Complex Structure of Burgers-Fisher Equation (Articles)

Bicheng Wu, Hongyan Pan

Open Journal of Applied Sciences Vol.14 No.12, December 31, 2024

DOI: 10.4236/ojapps.2024.1412241 97 Downloads 624 Views Citations
Mixed Soliton Solutions of MNLS/DNLS Equations Based on Hirota Method (Articles)

Jiarui Hu, Guoquan Zhou

Journal of Applied Mathematics and Physics Vol.13 No.5, May 16, 2025

DOI: 10.4236/jamp.2025.135093 153 Downloads 624 Views Citations
A Comparative Study of Two Spatial Discretization Schemes for Advection Equation (Articles)

Huda O. Bakodah

International Journal of Modern Nonlinear Theory and Application Vol.5 No.1, March 8, 2016

DOI: 10.4236/ijmnta.2016.51006 3,141 Downloads 5,031 Views Citations
Application of Homotopy Perturbation Method and Parameter Expanding Method to Fractional Van der Pol Damped Nonlinear Oscillator (Articles)

Taher A. Nofal, Gamal M. Ismail, Sayed Abdel-Khalek

Journal of Modern Physics Vol.4 No.11, November 22, 2013

DOI: 10.4236/jmp.2013.411179 4,201 Downloads 6,566 Views Citations
PID Stabilization of Linear Neutral Time-Delay Systems in a Numerical Approach (Articles)

Hassan Farokhi Moghadam, Nastaran Vasegh, Seyed Zeinolabedin Moussavi

Intelligent Control and Automation Vol.3 No.4, November 28, 2012

DOI: 10.4236/ica.2012.34036 4,480 Downloads 7,509 Views Citations
Iterative Solution Methods for a Class of State and Control Constrained Optimal Control Problems (Articles)

Erkki Laitinen, Alexander Lapin

Applied Mathematics Vol.3 No.12, December 12, 2012

DOI: 10.4236/am.2012.312253 3,255 Downloads 5,708 Views Citations

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