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AI-Enhanced Performance Evaluation of Python, MATLAB, and Scilab for Solving Nonlinear Systems of Equations: A Comparative Study Using the Broyden Method
(Articles)
Isaac Azure
,
Japheth Kodua Wiredu
,
Anas Musah
,
Eric Akolgo
American Journal of Computational Mathematics
Vol.13 No.4
, December 28, 2023
DOI:
10.4236/ajcm.2023.134036
810
Downloads
1,838
Views
Citations
Simulation of Steel Reinforcement on the Nonlinear Behaviour of Slender Glulam Beam Columns by Using the Newton-Raphson Method
(Articles)
Martial Ourmama
,
Marcelline Blanche Manjia
,
Edmond Dawak Fezeu
Open Journal of Applied Sciences
Vol.14 No.2
, February 9, 2024
DOI:
10.4236/ojapps.2024.142018
214
Downloads
717
Views
Citations
Galerkin-Bernstein Approximations for the System of Third-Order Nonlinear Boundary Value Problems
(Articles)
Snigdha Dhar
,
Md. Shafiqul Islam
Journal of Applied Mathematics and Physics
Vol.12 No.6
, June 19, 2024
DOI:
10.4236/jamp.2024.126127
132
Downloads
763
Views
Citations
Development of Lanchester-Type Spatial Models with Obtaining Localized Solutions for the Interaction of Two Groups
(Articles)
Nikita D. Borisov
Journal of Applied Mathematics and Physics
Vol.13 No.7
, July 28, 2025
DOI:
10.4236/jamp.2025.137132
268
Downloads
1,948
Views
Citations
Probabilistic QOS Aware Congestion Control in Wireless Multimedia Sensor Networks
(Articles)
Muthuselvi Mayandi
,
Kavitha Velayudhan Pillai
Circuits and Systems
Vol.7 No.9
, July 5, 2016
DOI:
10.4236/cs.2016.79181
1,979
Downloads
3,344
Views
Citations
Adaptive Quasi-PID Control Method for Switching Power Amplifiers
(Articles)
Xiaoming Sun
Journal of Power and Energy Engineering
Vol.5 No.2
, February 9, 2017
DOI:
10.4236/jpee.2017.52003
1,743
Downloads
2,919
Views
Citations
A Data-Driven Adaptive Method for Attitude Control of Fixed-Wing Unmanned Aerial Vehicles
(Articles)
Meili Chen
,
Yuan Wang
Advances in Aerospace Science and Technology
Vol.4 No.1
, March 1, 2019
DOI:
10.4236/aast.2019.41001
1,858
Downloads
4,067
Views
Citations
Modified Fletcher-Reeves and Dai-Yuan Conjugate Gradient Methods for Solving Optimal Control Problem of Monodomain Model
(Articles)
Kin Wei Ng
,
Ahmad Rohanin
Applied Mathematics
Vol.3 No.8
, August 1, 2012
DOI:
10.4236/am.2012.38128
4,815
Downloads
8,790
Views
Citations
Parametric Iteration Method for Solving Linear Optimal Control Problems
(Articles)
Abdolsaeed Alavi
,
Aghileh Heidari
Applied Mathematics
Vol.3 No.9
, September 27, 2012
DOI:
10.4236/am.2012.39155
4,292
Downloads
7,450
Views
Citations
Proximal Methods for Elliptic Optimal Control Problems with Sparsity Cost Functional
(Articles)
Andreas Schindele
,
Alfio Borzì
Applied Mathematics
Vol.7 No.9
, May 30, 2016
DOI:
10.4236/am.2016.79086
2,194
Downloads
3,791
Views
Citations
Control Rod Calibration and Worth Calculation for Optimized Power Reactor 1000 (OPR-1000) Using Core Simulator OPR1000
(Articles)
Nguyen An Son
,
Nguyen Duc Hoa
,
Tran Trung Nguyen
,
Tran Quoc Tuan
,
Osvaldo Camueje Raul
World Journal of Nuclear Science and Technology
Vol.7 No.1
, December 28, 2016
DOI:
10.4236/wjnst.2017.71002
2,415
Downloads
7,167
Views
Citations
Iterative Solution of Mesh Constrained Optimal Control Problems with Two-Level Mesh Approximations of Parabolic State Equation
(Articles)
A. Lapin
,
E. Laitinen
Journal of Applied Mathematics and Physics
Vol.6 No.1
, January 5, 2018
DOI:
10.4236/jamp.2018.61007
1,014
Downloads
2,336
Views
Citations
Analysis of the Boundary Stability of a Diffusion-Reaction System on a Nanolayer
(Articles)
Tarik Boulahrouz
,
Mohammed Filali
,
Jamal Messaho
,
Najib Tsouli
Journal of Applied Mathematics and Physics
Vol.12 No.5
, May 22, 2024
DOI:
10.4236/jamp.2024.125105
182
Downloads
773
Views
Citations
Numerical Treatment of Initial Value Problems of Nonlinear Ordinary Differential Equations by Duan-Rach-Wazwaz Modified Adomian Decomposition Method
(Articles)
Ömür Umut
,
Serpil Yaşar
International Journal of Modern Nonlinear Theory and Application
Vol.8 No.1
, February 1, 2019
DOI:
10.4236/ijmnta.2019.81002
1,965
Downloads
4,523
Views
Citations
Hybrid Dispersive Optical Solitons in Nonlinear Cubic-Quintic-Septic Schrödinger Equation
(Articles)
Clovis Taki Djeumen Tchaho
,
Hugues Martial Omanda
,
Gaston N’tchayi Mbourou
,
Jean Roger Bogning
,
Timoléon Crépin Kofané
Optics and Photonics Journal
Vol.11 No.2
, February 26, 2021
DOI:
10.4236/opj.2021.112003
677
Downloads
2,063
Views
Citations
Robust Sliding Mode Control for Nonlinear Discrete-Time Delayed Systems Based on Neural Network
(Articles)
Vishal Goyal
,
Vinay Kumar Deolia
,
Tripti Nath Sharma
Intelligent Control and Automation
Vol.6 No.1
, January 27, 2015
DOI:
10.4236/ica.2015.61009
18,160
Downloads
20,931
Views
Citations
H
2
and
H
∞
-Feedback Control Design for Nonlinear Gene Networks via Successive Galerkin’s Approximation
(Articles)
Alexander W. Bae
Computational Molecular Bioscience
Vol.12 No.2
, June 29, 2022
DOI:
10.4236/cmb.2022.122006
403
Downloads
1,164
Views
Citations
Adomian Decomposition Method for Solving Goursat's Problems
(Articles)
Mariam A. Al-Mazmumy
Applied Mathematics
Vol.2 No.8
, August 8, 2011
DOI:
10.4236/am.2011.28134
6,541
Downloads
12,964
Views
Citations
The Basic (
G'/G
)-Expansion Method for the Fourth Order Boussinesq Equation
(Articles)
Hasibun Naher
,
Farah Aini Abdullah
Applied Mathematics
Vol.3 No.10
, October 11, 2012
DOI:
10.4236/am.2012.310168
57,792
Downloads
144,569
Views
Citations
Exact Solution to Nonlinear Differential Equations of Fractional Order via (
G’
/
G
)-Expansion Method
(Articles)
Muhammad Younis
,
Asim Zafar
Applied Mathematics
Vol.5 No.1
, December 25, 2013
DOI:
10.4236/am.2014.51001
9,585
Downloads
21,872
Views
Citations
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