Benedict Barnes

Kwame Nkrumah University of Science and Technology

Associate Professor, Kwame Nkrumah University of Science and Technology, since 2024per ORCID

Publishing since 2012, latest 2026

Modeling and Simulation
Statistical and Nonlinear Physics
Numerical Analysis
Applied Mathematics
Atomic and Molecular Physics, and Optics
Mathematical Physics

In their own words

differential equations
functional analysis
linear algebra
quantum mechanics
Mathematical Modelling
ill-posed problems
chaos
soliton
fractal
optimization techniques

Publications: 652012–2026
Citations: 218to those papers
h-index: 6i10-index 3
Field-weighted impact: 1.081.00 is the world average
World top 10%: 11%5 of 47 scored papers
Open access: 77%36 of the 47 whose access is recorded

7 other works — preprints, datasets and the like — are listed but not counted.

Google Scholar shows 325 citations, h-index 8 and i10-index 7 (287 citations and h-index 8 since 2021), as of October 10, 2026. It also counts theses, books and web pages, so it runs higher.

By year

Papers, and the citations to them

Publications, left axisCitations to that year’s papers, right axis2026 still in progress

Career

As their ORCID record read on October 4, 2026

Positions

Associate Professor, MATHEMATICSKwame Nkrumah University of Science and Technologysince 2024

Education

Dr., MATHEMATICSKWAME NKRUMAH UNIVERSITY OF SCIENCE AND TECHNOLOGY2016–2031

Honours, memberships and service

MathematicsTaylor & Francis Groupsince 2020
American Mathematical Society
MathematicsGhana Mathematics Society

Publications

65 in all

Enhancing autonomous vehicle control with lateral error feedback analysis
2026IFAC Journal of Systems and ControlJournal5 citations10.1016/j.ifacsc.2025.100359
Stability of periodic orbits in the perturbed sine-Gordon equation
2026Nonlinear science.Journal1 citation10.1016/j.nls.2026.100124

bbarnes.cos@knust.edu.ghPublic on their ORCID record

Download CV:PDFWord

Citations received each year

PeerfordGoogle Scholar

To all their work, old papers included. Google Scholar also counts citations from theses, books and web pages, so its line runs higher.

What they work on

From the classification of each paper

Subfields

Modeling and Simulation1422%
Statistical and Nonlinear Physics1320%
Numerical Analysis1117%
Applied Mathematics69%
Atomic and Molecular Physics, and Optics69%
Mathematical Physics58%
Computational Mechanics46%
Computational Theory and Mathematics46%
Computer Vision and Pattern Recognition35%
Control and Systems Engineering35%

Physical Sciences

Topics most written on

Fractional Differential Equations Solutions13
Nonlinear Waves and Solitons8
Differential Equations and Numerical Methods6
Iterative Methods for Nonlinear Equations6
Nonlinear Photonic Systems5
Chaos control and synchronization4
Mathematical Inequalities and Applications4
Advanced Numerical Analysis Techniques3
COVID-19 epidemiological studies3
Image and Signal Denoising Methods3
Numerical methods in engineering3
Numerical methods in inverse problems3

Who they write with

Their most frequent co-authors, and the papers those co-authors share

Where their co-authors are

17% of their 47 papers with recorded affiliations have a co-author abroad

papers co-written1223455Home

Most frequent partner countries

United States6
South Africa4
Norway1
Canada1

Papers with at least one author in that country.

Institutions written with most

University of Skills Training and Entrepreneurial DevelopmentGH7 papers
University of IdahoUS4 papers
Stellenbosch UniversityZA4 papers
Anglican University College of TechnologyGH3 papers
Sunyani Technical UniversityGH3 papers
University of Cape CoastGH3 papers
Eastern Connecticut State UniversityUS2 papers
University of Energy and Natural ResourcesGH2 papers
Kwame Nkrumah UniversityZM2 papers
Council for Scientific and Industrial ResearchGH2 papers

Where they publish

European Journal of Pure and Applied Mathematics11
Scientific African6
International Journal of Differential Equations4
Partial Differential Equations in Applied Mathematics3
Abstract and Applied Analysis2
Advances in Mathematical Physics2

Development goals addressed

From each paper’s title and abstract

7Affordable and clean energy5
3Good health and well-being4
2Zero hunger2
8Decent work and economic growth2
10Reduced inequalities2
11Sustainable cities and communities2
5Gender equality1
6

Most cited

A review of anaerobic digestion of slaughterhouse waste: effect of selected operational and environmental parameters on anaerobic biodegradability
Reviews in Environmental Science and Bio/Technology
202151 citationsWorld top 10%
Proportional feedback and optimal control of perturbed sine-Gordon kink solitons
Chaos Solitons & Fractals13
202510 citationsWorld top 10%
The Modified Homogeneous Balance Methods for solving Korteweg–DeVries equations

International Association for Pure and Applied Mathematics

ReviewerBioresource Technology, Elsevier

ReviewerMathematical Reviews

ReviewerScience Publishing Group

ReviewerAsian Journal of Mathematics and Computer Research

ReviewerSpringer Nature

ReviewerPhysica A, Elsevier

Energy orthogonality and conformational recovery dynamics of torsional DNA solitons

2026Physica A Statistical Mechanics and its ApplicationsJournal0 citations10.1016/j.physa.2026.131995

The solitons of the coupled modified Korteweg–de Vries equation using a modified homogeneous balance method

2026Journal of Computational Mathematics and Data ScienceJournal0 citations

The exact solution of the composite fractional differential equation

2025Chaos Solitons & FractalsJournalSenior authorCorresponding6 citations10.1016/j.chaos.2025.116288

The Modified Homogeneous Balance Method for solving fractional Cahn–Allen and equal width equations

2025Partial Differential Equations in Applied MathematicsJournalOpen accessCorresponding1 citation10.1016/j.padiff.2025.101246

The Analytic Methods for Solving the System of Fractional Order Brusselator Equations

2025International Journal of Differential EquationsJournalOpen access0 citations10.1155/ijde/8436408

Mathematical modeling of COVID-19 with a constant spatial diffusion term in Ghana

2025Computational Methods for Differential EquationsJournalSenior author5 citations

The Modified Homogeneous Balance Methods for solving Korteweg–DeVries equations

2024Partial Differential Equations in Applied MathematicsJournalOpen accessCorresponding10 citations10.1016/j.padiff.2024.101035

Fractional‐Order Delay Cobweb Model and Its Price Dynamics

2024International Journal of Differential EquationsJournalOpen access1 citation10.1155/2024/1209433

Convexity Properties in Non-Newtonian Calculus and Their Applications

2024European Journal of Mathematical AnalysisJournalOpen accessSenior author1 citation10.28924/ada/ma.4.19

The Analytic Solutions of the Fractional-Order Model for the Spatial Epidemiology of the COVID-19 Infection

2023Advances in Mathematical PhysicsJournalOpen accessFirst authorCorresponding5 citations10.1155/2023/5578900

Price Dynamics of a Delay Differential Cobweb Model

2023Discrete Dynamics in Nature and SocietyJournalOpen access4 citations10.1155/2023/1296562

The mathematical model for marital interactions in Ghana

2022Scientific AfricanJournalOpen accessFirst authorCorresponding6 citations10.1016/j.sciaf.2022.e01449

A 2-Phase Method for Solving Transportation Problems with Prohibited Routes

2022Pakistan Journal of Statistics and Operation ResearchJournalOpen access3 citations10.18187/pjsor.v18i3.3911

Mathematical Modelling of the Spatial Epidemiology of COVID-19 with Different Diffusion Coefficients

2022International Journal of Differential EquationsJournalOpen accessFirst authorCorresponding2 citations10.1155/2022/7563111

Scattering of kinks in noncanonical sine-Gordon Model

2022TURKISH JOURNAL OF PHYSICSJournalOpen access1 citation10.55730/1300-0101.2690

Using a Divergence Regularization Method to Solve an Ill-Posed Cauchy Problem for the Helmholtz Equation

2022Abstract and Applied AnalysisJournalOpen accessFirst authorCorresponding1 citation10.1155/2022/4628634

A Two-Phase Method for Solving Transportation Models with Prohibited Routes

2022Pakistan Journal of Statistics and Operation ResearchJournal0 citations

The Eigenspace Spectral Regularization Method for Solving Discrete Ill-Posed Systems

2021Journal of Applied MathematicsJournalOpen accessCorresponding1 citation10.1155/2021/4373290

Mathematical modelling of the epidemiology of COVID-19 infection in Ghana

2021Scientific AfricanJournalOpen accessFirst authorCorresponding5 citations10.1016/j.sciaf.2021.e01070

Vacuum polarization energy of the kinks in the sinh-deformed models

2021TURKISH JOURNAL OF PHYSICSJournalOpen access3 citations10.3906/fiz-2103-32

Wavelet-Based Method for Solving Linear Elliptic PDE with Dirichlet Boundary Conditions on Irregular Domains

2021Book Publisher International (a part of SCIENCEDOMAIN International)Book chapterSenior author1 citation10.9734/bpi/tpmcs/v6/2419e

Scientific African

2021Scientific AfricanReportFirst author1 citation

Mathematical Modeling of Wastes Pile-Up in Kwadaso Municipality in Ashanti, Ghana

2020European Journal of Pure and Applied MathematicsJournalOpen accessFirst author0 citations10.29020/nybg.ejpam.v13i4.3813

The Quotient Inequalities

2019European Journal of Pure and Applied MathematicsJournalOpen accessFirst author0 citations10.29020/nybg.ejpam.v12i2.3384

The Mathematical Modelling of Refuse Build-up on the University Campus: A Case Study of KNUST Campus

2019European Journal of Pure and Applied MathematicsJournalOpen accessFirst author0 citations10.29020/nybg.ejpam.v12i4.3546

Product-Normed Linear Spaces

2018European Journal of Pure and Applied MathematicsJournalOpen accessFirst author3 citations10.29020/nybg.ejpam.v11i3.3284

A Generalization of Integral Transform

2018European Journal of Pure and Applied MathematicsJournalOpen accessFirst author3 citations10.29020/nybg.ejpam.v11i4.3330

The Proofs of Triangle Inequality Using Binomial Inequalities

2018European Journal of Pure and Applied MathematicsJournalOpen accessFirst author1 citation10.29020/nybg.ejpam.v11i1.3165

Asian Journal of Mathematics and Computer Research2

British Journal of Mathematics & Computer Science2

How it can be read

77% free to read, of the 47 recorded

Diamond 14 · 22%Free to read and to publish
Gold 19 · 29%In an open-access journal
Hybrid 2 · 3%Open in a subscription journal
Green 1 · 2%A copy in a repository
Closed 11 · 17%Behind a paywall
Unknown 18 · 28%Not recorded by the source

Clean water and sanitation

16Peace, justice and strong institutions1

Partial Differential Equations in Applied Mathematics

202410 citationsOpen access · Gold

Polynomial Integral Transform for Solving Differential Equations

European Journal of Pure and Applied Mathematics

20169 citationsOpen access · Green