Leaderboards/Iterative Methods for Nonlinear Equations

Iterative Methods for Nonlinear Equations

Last updated July 7, 2026

Rising Stars

New and hot

Rising Stars Researchers

1
A. M. Shloof
Zintan University
2
Imtiyaz Ahmad Bhat
Vellore Institute of Technology University
3
H. A. Wasi
University of Babylon
4
Aasma Khalid
Government College Women University Faisalabad
5
Tran Minh Luan
Ho Chi Minh City Open University
6
Enyu Fan
Inner Mongolia University
7
Giro Candelario
Instituto Tecnológico de Santo Domingo
8
Parthkumar P. Sartanpara
Sardar Vallabhbhai National Institute of Technology Surat
9
Azzh Saad Alshehry
Princess Nourah bint Abdulrahman University
10
Ved Prakash Dubey
Shri Ramswaroop Memorial University

Rising Stars Papers

1
Exponential-trigonometric optimization algorithm for solving complicated engineering problems
Computer Methods in Applied Mechanics and Engineering|2024
84 cit.
2
Precision and efficiency of an interpolation approach to weakly singular integral equations
International Journal of Numerical Methods for Heat &amp Fluid Flow|2024
26 cit.
3
A comparative study of discretization techniques for augmented Urysohn type nonlinear functional Volterra integral equations and their convergence analysis
Applied Mathematics and Computation|2024
17 cit.
4
A comprehensive analysis for weakly singular nonlinear functional Volterra integral equations using discretization techniques
Alexandria Engineering Journal|2024
15 cit.
5
Analysis of efficient discretization technique for nonlinear integral equations of Hammerstein type
International Journal of Numerical Methods for Heat &amp Fluid Flow|2024
14 cit.
6
Numerical analysis of dengue transmission model using Caputo–Fabrizio fractional derivative
Open Physics|2024
13 cit.
7
Fractional-order view analysis of Fisher’s and foam drainage equations within Aboodh transform
Engineering Computations|2024
13 cit.
8
Thermal Analysis of MHD Hybrid Nanofluid on Stretching/Shrinking Non-Parallel Walls with Uncertain Volume Fractions
Journal of Multiscale Modelling|2024
10 cit.
9
Employing CNPS and CPS approaches to calculate numerical roots of ninth-order linear and nonlinear boundary value problems
International Journal of Modern Physics C|2024
7 cit.
10
Developing and applying cubic spline method for the solution of boundary value problems in complex physical and engineering systems
Partial Differential Equations in Applied Mathematics|2025
6 cit.

Emerging Leaders

Gaining momentum

Emerging Leaders Researchers

1
Arran Fernandez
Eastern Mediterranean University
2
Mushtak A. K. Shiker
University of Babylon
3
Jihad Asad
Palestine Technical University - Kadoorie
4
Nasrin Samadyar
Kermanshah University of Technology
5
Ram Swroop
Malaviya National Institute of Technology Jaipur
6
P. Veeresha
Christ University
7
Sevgi Şengül Ayan
Western Kentucky University
8
Ye Yuan
Technical University of Munich
9
Metib Said Alghamdi
King Khalid University
10
Mohammed K. A. Kaabar
Washington State University

Emerging Leaders Papers

1
Numerical approach toward ternary hybrid nanofluid flow with nonlinear heat source-sink and fourier heat flux model passing through a disk
International Journal of Thermofluids|2023
85 cit.
2
A Kalman-Filter-Incorporated Latent Factor Analysis Model for Temporally Dynamic Sparse Data
IEEE Transactions on Cybernetics|2022
84 cit.
3
On the Stochastic Modeling of COVID-19 under the Environmental White Noise
Journal of Function Spaces|2022
67 cit.
4
A fractal–fractional COVID-19 model with a negative impact of quarantine on the diabetic patients
Results in Control and Optimization|2023
64 cit.
5
Weighted Fractional Calculus: A General Class of Operators
Fractal and Fractional|2022
52 cit.
6
The efficient fractional order based approach to analyze chemical reaction associated with pattern formation
Chaos Solitons & Fractals|2022
47 cit.
7
Dynamics of chaotic waterwheel model with the asymmetric flow within the frame of Caputo fractional operator
Chaos Solitons & Fractals|2023
47 cit.
8
An efficient technique to analyze the fractional model of vector-borne diseases
Physica Scripta|2022
45 cit.
9
Effects of global warming, time delay and chaos control on the dynamics of a chaotic atmospheric propagation model within the frame of Caputo fractional operator
Communications in Nonlinear Science and Numerical Simulation|2023
42 cit.
10
A Fuzzy PID-Incorporated Stochastic Gradient Descent Algorithm for Fast and Accurate Latent Factor Analysis
IEEE Transactions on Fuzzy Systems|2024
42 cit.

Current Senior Leaders

Established & currently active

Current Senior Leaders Researchers

1
Dumitru Bǎleanu
Lebanese American University
2
Jorge Nocedal
Northwestern University
3
Paul E. Wright
BT Group (United Kingdom)
4
Shaher Momani
University of Jordan
5
Juan R. Torregrosa
Universitat Politècnica de València
6
Mehdi Dehghan
Amirkabir University of Technology
7
Mohammad Sababheh
Princess Sumaya University for Technology
8
YangQuan Chen
University of California, Merced
9
Hongchao Zhang
State Key Laboratory of Vehicle NVH and Safety Technology
10
Ishak Hashim
Al-Balqa Applied University

Current Senior Leaders Papers

1
On the limited memory BFGS method for large scale optimization
Mathematical Programming|1989
8.5k cit.
2
Convergence Properties of the Nelder--Mead Simplex Method in Low Dimensions
SIAM Journal on Optimization|1998
7.4k cit.
3
New fractional derivatives with nonlocal and non-singular kernel: Theory and application to heat transfer model
DOAJ (DOAJ: Directory of Open Access Journals)|2016
3.9k cit.
4
Algorithm 778: L-BFGS-B
ACM Transactions on Mathematical Software|1997
3.4k cit.
5
A new definition of fractional derivative
Journal of Computational and Applied Mathematics|2014
3.4k cit.
6
Updating quasi-Newton matrices with limited storage
Mathematics of Computation|1980
2.7k cit.
7
A new collection of real world applications of fractional calculus in science and engineering
Communications in Nonlinear Science and Numerical Simulation|2018
1.7k cit.
8
An Interior Point Algorithm for Large-Scale Nonlinear Programming
SIAM Journal on Optimization|1999
1.7k cit.
9
A trust region method based on interior point techniques for nonlinear programming
Mathematical Programming|2000
1.6k cit.
10
A New Conjugate Gradient Method with Guaranteed Descent and an Efficient Line Search
SIAM Journal on Optimization|2005
1.1k cit.

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