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Benedict Barnes

Mathematics

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About

Dr. Benedict Barnes is an Associate Professor at the Mathematics Department, Kwame Nkrumah University of Science and Technology (KNUST), Kumasi, Ghana. He received his Masters and Doctoral degrees from the same university in 2011 and 2016, respectively. He has served the university in several domains across the three core duties of a university lecturer, that is, research, teaching, and service to the public. Dr. Barnes is a Mathematician whose research interest is in the field of both applied and pure mathematics with a special focus on differential equations, functional analysis, abstract algebra, linear algebra and numerical analysis. He has published articles in various aspects of mathematics including Differential Equations, Functional Analysis, Algebra and Numerical Analysis and Computations. He has published over fifty-two (52) peer reviewed articles in refereed journals, twenty-five (25) of them were published in last three years.  He is a member of American Mathematical Association, Ghana Mathematics Association and a reviewer of the applied mathematical letters (Elesiver), waves in random and complex media (Taylor and Francis Group), and journal of inequalities and applications (Springer Nature). He has also presented his research findings in a number of conferences, including, the International Applied Mathematics, Algorithms and Mathematical Methods held in Rome, Italy, 2021, 2nd international conference on engineering, science, technology and entrepreneurship, and also at the Ghana science association webinar, 2021 on the theme; Covid-19 pandemic: scientific updates and the way forward.So far, he has trained one Ph.D student and has several PhD and MPhil thesis ongoing with contemporary topics such as; climate modelling, modelling of depletion of the ozone layer, modelling of infectious diseases, modeling of fluid dynamics, modelling of biochemical reactions, chaos in Chua's circuit, modelling of problems in engineering, social problems, physiology and ill-posed problems.He teaches both post-graduate and undergraduate students at the Kwame Nkrumah University of Science and Technology. He is a lecturer that in the classroom exhibits the two essential elements of a teacher, that is, science and the skill of teaching. He is also very innovative in the classroom and trains his students with an in-depth knowledge in pure mathematics and its applications in real life.Dr. Barnes has held positions in the Mathematics department, such as; the examinations officer for both regular and IDL programmes, assistant post-graduate cordinator, patron of mathematics students association. He has also served as chairman of several comittees in the Mathematics department. He has also served on both local and national committees and boards in Ghana. He has in enormous ways displayed an excellent communication and presentation skills in the several invitations he honored across the country and also, at international level. Dr. Barnes is an unapologetic nerd and his love for mathematics is superb. He is also open to collaborations with scholars and researchers in diverse fields of interest.

Research Summary

(inferred from publications by AI)

The research integrates advanced mathematical models across diverse scientific domains to address challenges in public health, urban planning, environmental management, and medicine. Employing techniques such as fractional calculus, iterative numerical methods, fixed-point theorems, wavelet-based signal processing, and virtual or physical modeling approaches, these studies develop comprehensive solutions for complex problems. These methodologies are applied across themes like anaerobic digestion of waste, nonlinear photonic systems, COVID-19 epidemiology, family dynamics, and geotechnical engineering, highlighting an interdisciplinary approach that bridges physics, medicine, urban planning, and environmental science. The focus is on leveraging analytical tools to enhance problem-solving in real-world contexts, emphasizing methodologies such as fractional calculus, iterative techniques, fixed-point proofs, virtual process modeling, and time-series analysis.

Research Themes

All Papers

A review of anaerobic digestion of slaughterhouse waste: effect of selected operational and environmental parameters on anaerobic biodegradability(2021)
Development of mathematical model for predicting methane-to-carbon dioxide proportion in anaerobic biodegradability of cattle blood and rumen content(2022)
Kink collision in the noncanonical <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.svg" display="inline" id="d1e581"> <mml:msup> <mml:mrow> <mml:mi>φ</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>6</mml:mn> </mml:mrow> </mml:msup> </mml:math> model: A model with localized inner structures(2022)
Vacuum polarization energy of the kinks in the sinh-deformed models(2021)
Vacuum Polarization Energy of the Kinks in the Sinh-Deformed Models(2020)
Scattering of kinks in noncanonical sine-Gordon Model(2022)
The Analytic Solutions of the Fractional-Order Model for the Spatial Epidemiology of the COVID-19 Infection(2023)
Modified Fractional Power Series Method for solving fractional partial differential equations(2024)
The Exact Solution of the Fractional Burger’s Equation using the Modified Homogeneous Balance Method(2025)
Polynomial Integral Transform for Solving Differential Equations(2016)
The Modified Homogeneous Balance Methods for Solving Space-Time Fractional Kaup-Kupershmidt Equation(2024)
Solving system of nonlinear fractional partial differential equations by fractional semi-separation of variables method(2025)
The exact solution of the composite fractional differential equation(2025)
Fractional Gauss Hypergeometric Power Series Method for Solving Fractional Partial Differential Equations(2025)
A Generalization of Integral Transform(2018)
A Two-Dimensional Chebyshev Wavelet Method for Solving Partial Di erential Equations(2016)
The Fractional Separation of Variables Method For  Solving System Of Nonlinear Fractional Partial Differential Equation(2024)
Analytic Solution of the Composite Fractional Oscillation Equation Using Homotopy Analysis Method and Variational Iteration Method(2025)
Modified Semiseparation of Variables Methods for Solving the System of Nonlinear Fractional Partial Differential Equations(2025)
Exact solution of system of nonlinear fractional partial differential equations by modified semi-separation of variables method(2025)
The Analytic Methods for Solving the System of Fractional Order Brusselator Equations(2025)
Price Dynamics of a Delay Differential Cobweb Model(2023)
Fractional‐Order Delay Cobweb Model and Its Price Dynamics(2024)
The mathematical model for marital interactions in Ghana(2022)
The Modified Homogeneous Balance Methods for solving Korteweg–DeVries equations(2024)
Proportional feedback and optimal control of perturbed sine-Gordon kink solitons(2025)
The Modified Homogeneous Balance Method for solving fractional Cahn–Allen and equal width equations(2025)
A methodological approach to solving the Korteweg–de Vries equation in its various forms(2025)
Uptake and in-vitro bioaccessibility of toxic metals in cocoa beans: Human health risks(2024)
Modeling the Epidemiology of Human Papilloma Virus Infection and Vaccination and Its Impact on Cervical Cancer in Ghana(2014)
Mathematical modelling of the epidemiology of COVID-19 infection in Ghana(2021)
Mathematical Modelling of the Spatial Epidemiology of COVID-19 with Different Diffusion Coefficients(2022)
Product-Normed Linear Spaces(2018)
A 2-Phase Method for Solving Transportation Problems with Prohibited Routes(2022)
Solving the Helmholtz Equation Together with the Cauchy Boundary Conditions by a Modified Quasi‐Reversibility Regularization Method(2022)
Convex Regularization Method for Solving Cauchy Problem of the Helmholtz Equation(2016)
Using a Divergence Regularization Method to Solve an Ill-Posed Cauchy Problem for the Helmholtz Equation(2022)
The Eigenspace Spectral Regularization Method for Solving Discrete Ill-Posed Systems(2021)
Modelling the isotope enrichment of leaf water(2004)
The Eigenspace Spectral Regularization Method for solving Discrete Ill-Posed Systems(2021)
On the Notes of Quasi-Boundary Value Method for Solving both Cauchy-Dirichlet Problem of the Helmholtz Equation(2017)
The Proofs of Triangle Inequality Using Binomial Inequalities(2018)
Probabilistic modeling for an integrated temporary acquired immunity with norovirus epidemiological data(2019)
Wavelet-Based Method for Solving Linear Elliptic PDE with Dirichlet Boundary Conditions on Irregular Domains(2021)
Convexity Properties in Non-Newtonian Calculus and Their Applications(2024)
A Finite Difference Fictitious Domain Wavelet Method for Solving Dirichlet Boundary Value Problem(2021)
In-Place Stabilization of Waste Phosphatic Clays Using Lime Columns(1993)
A Note on the Spread of Infectious Diseases in a Large Susceptible Population(2012)
The Proofs of Product Inequalities in Vector Spaces(2018)
The Proofs of the Arithmetic-Geometric Mean Inequality Through Both the Product and Binomial Inequalities(2018)
The Quotient Inequalities(2019)
The Mathematical Modelling of Refuse Build-up on the University Campus: A Case Study of KNUST Campus(2019)
Mathematical Modeling of Wastes Pile-Up in Kwadaso Municipality in Ashanti, Ghana(2020)
Kink Collision in the Noncanonical Φ⁶ Model: A Model with Localized Inner Structures(2022)
Mathematical Analysis of the Impact ofVaccination in the Spread of Diseases in a Large Susceptible Population(2013)

Collaboration Network

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About This Profile

This profile is generated from publicly available publication metadata and is intended for research discovery purposes. Themes, summaries, and trajectories are inferred computationally and may not capture the full scope of the lecturer's work. For authoritative information, please refer to the official KNUST profile.