Ronald E. Mickens

7.9k citations
243 papers · 6.0k · 2 hit papers · h-index 37

Impact in

    • Fractional Differential Equations Solutions
    • COVID-19 epidemiological studies
    • Numerical methods for differential equations
    • Differential Equations and Numerical Methods

Papers in

    • Numerical methods for differential equations 68
    • Differential Equations and Numerical Methods 33
    • Fractional Differential Equations Solutions 40
    • Mathematical Biology Tumor Growth 18

Ronald E. Mickens

221 papers receiving 5.6k citations

Ronald E. Mickens's Hit Papers

Applications of Nonstandard Finite Difference Schemes 2000 · 291 citations
2910+11+22Years since publication250500750

Peers

Ronald E. Mickens
Comparison fields: 5 of 166
  • Modeling and Simulation 3.0k
  • Numerical Analysis 1.8k
  • Statistical and Nonlinear Physics 1.2k
  • Public Health, Environmental and Occupational Health 1.7k
  • Applied Mathematics 338
Replace Manuel De la Sen with:
Manuel De la Sen Spain
Sunil Kumar India
Vitaly Volpert France
Behzad Ghanbari Iran
Ali Akgül Türkiye
Amin Jajarmi Iran
Fred Brauer Canada
Paul C. Fife United States
E. F. Mishchenko Russia
Zakia Hammouch Morocco
Ronald E. Mickens relative to Manuel De la Sen Spain Manuel De la Sen's profile →
Citations per field
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Manuel De la Sen · 1×
Citations per year

Countries citing papers authored by Ronald E. Mickens

Since Specialization
Citations

This map shows the geographic impact of Ronald E. Mickens's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Ronald E. Mickens with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Ronald E. Mickens more than expected).

Fields of papers citing papers by Ronald E. Mickens

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Ronald E. Mickens. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Ronald E. Mickens. The network helps show where Ronald E. Mickens may publish in the future.

Co-authors

The 25 scholars most cited alongside Ronald E. Mickens, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Ronald E. Mickens Line = papers co-authored together Ronald E. Mickens links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 243 papers — load more, or switch the sort, to bring in the rest.

#Work
1
Nonstandard Finite Difference Models of Differential Equations
Hit paper breakdown →
1993792
2
Applications of Nonstandard Finite Difference Schemes
Hit paper breakdown →
2000291
3 1996243
4 2015225
5 2002221
6 2005215
7 2005181
8 1984170
9 2006144
10 1986135
11
Difference Equations: Theory and Applications
1990121
12 1989115
13
An introduction to nonlinear oscillations
198195
14 199983
15 200182
16 200881
17 199978
18 200777
19 200377
20 200476

About Ronald E. Mickens

Ronald E. Mickens is a scholar working on Numerical Analysis, Modeling and Simulation, Statistical and Nonlinear Physics, Public Health, Environmental and Occupational Health and Mathematical Physics, having authored 243 papers that have together received 6.0k indexed citations. Recurring topics across this work include Numerical methods for differential equations (68 papers), Fractional Differential Equations Solutions (40 papers), Mathematical and Theoretical Epidemiology and Ecology Models (39 papers), Differential Equations and Numerical Methods (33 papers), Nonlinear Dynamics and Pattern Formation (27 papers), Mathematical Biology Tumor Growth (18 papers), Mathematical and Theoretical Analysis (15 papers) and Nonlinear Waves and Solitons (13 papers). The work is most often cited by research in Modeling and Simulation (3.0k citations), Numerical Analysis (1.8k citations), Statistical and Nonlinear Physics (1.2k citations), Public Health, Environmental and Occupational Health (1.7k citations) and Applied Mathematics (338 citations). Ronald E. Mickens has collaborated with scholars based in United States, South Africa and Russia. Frequent co-authors include P.M. Jordan, Abba B. Gumel, Weizhong Dai, Matthias Ehrhardt, Talitha Washington, Michael Chapwanya, Jean Lubuma, Arthur L. Smith, Kevin D. Cooper and Haojie Wang. Their work appears in journals such as Journal of Sound and Vibration, The Journal of Difference Equations and Applications, Numerical Methods for Partial Differential Equations, Computers & Mathematics with Applications and Mathematics and Computers in Simulation.

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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