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William Obeng-Denteh

Mathematics

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About

Very Rev. Prof. William Obeng-Denteh, CMath FIMA, is a Professor of Mathematics and the immediate past Head of the Department of Mathematics at Kwame Nkrumah University of Science and Technology (KNUST). A Chartered Mathematician and Fellow of the Institute of Mathematics and its Applications (UK). Passionate educator and researcher with extensive publications, supervision, and curriculum contributions.As an ordained minister, Prof. Obeng-Denteh serves in multiple capacities.

Research Summary

(inferred from publications by AI)

The researcher is primarily engaged in integrating theoretical mathematics with applied fields across diverse domains such as physics, social sciences, health sciences, computer science, philosophy, and more. Their work spans areas like fractional calculus, chaos theory, optimization techniques, genetic algorithms, fuzzy systems, algebraic geometry, probabilistic modeling, differential equations, and quantum mechanics. The researcher's focus includes both foundational mathematical advancements and practical applications in teaching methodologies (education), pandemic tracking (health sciences), virus modeling, computational approaches, theoretical physics, and interdisciplinary studies that bridge mathematics with other scientific and social disciplines.

Research Themes

All Papers

Numerical solution of fractional order model of measles disease with double dose vaccination(2024)
On the Regularization-Homotopy Analysis Method for Linear and Nonlinear Fredholm Integral Equations of the First Kind(2017)
Oscillatory Solution of a Convolutional Volterra Integral Equation(2023)
FREDHOLM INTEGRAL EQUATIONS: THINGS TO NOTE(2018)
A Force Function Formula for Solutions of Nonlinear Weakly Singular Volterra Integral Equations(2024)
Semi-analytical approach to a fractional-order model for the dynamics and control of Typhoid fever(2025)
Everyday uses of mathematics and the roles of a mathematics teacher(2024)
The Impact of Using Balance Model in Teaching Linear Equation(2018)
The Constructivist Approach of Solving Word Problems Involving Algebraic Linear Equations: The Case Study of Mansoman Senior High School, Amansie West District of Ghana(2015)
Analysis of Grade 11 Students’ Conceptual Understanding in Probability Concepts: A Perspective of Skemp Understanding Theory(2025)
A Mathematical Model to Predict the Prevalence and Transmission Dynamics of Tuberculosis in Amansie West District, Ghana(2014)
Mathematical Analysis of COVID-19 Transmission Dynamics with a Case Study of Nigeria and its Computer Simulation(2020)
Numerical solution of fractional order mathematical model on the transmission dynamics of Ebola Virus Disease using the Laplace-Adomian Decomposition method(2024)
A Study of Chaos in Dynamical Systems(2018)
Topological Dynamics in Tandem with Permutation Groups(2013)
Dynamic Systems of Shifts in the Space of Piece-Wise Continuous Functions(2012)
Modeling Nurse Scheduling Problem Using 0-1 Goal Programming: A Case Study Of Tafo Government Hospital, Kumasi-Ghana(2015)
A Mathematical Modeling of School Feeding Programme in the Asem – Kumasi Cluster of Schools in Ashanti Region of Ghana(2014)
Advancing mathematics education in Africa: Challenges, strategies, and prospects(2024)
Mathematical Modeling of the Epidemiology of Tuberculosis in the Ashanti Region of Ghana(2014)
On Modelling of Promiscuous Lifestyle; An SIR Dynamics(2015)
Inverse problem for the quartic mean-field Ising model(2023)
Exploring cooking fuel choices among Ghanaian women of reproductive age: A socio-economic analysis from a statistical mechanics perspective(2025)
Modeling the Epidemiology of Human Papilloma Virus Infection and Vaccination and Its Impact on Cervical Cancer in Ghana(2014)
An Epidemiological Model for Sexual Activities(2014)
Modelling Students’ Affinity for Lecture Attendance Using Differential Equations: The Case of Students of Kwame Nkrumah University of Science and Technology(2012)
The Effects of Leadership Styles of Headteachers on Academic Performance at Seniagya – Effiduase Sekyere East in the Ashanti Region(2016)
EFFECTIVENESS OF THE INQUIRY-BASED TEACHING APPROACH ON TECHNICAL AND VOCATIONAL STUDENTS’ MATHEMATICS ACHIEVEMENT IN GHANA(2024)
Aproximations in Divisible Groups: Part I(2015)
Exploring mean field spin models with multiple populations: A theoretical framework(2024)
Mathematical modeling of poliomyelitis with control measure(2024)
A Mathematical Model for the Control of Ebola Virus Disease with Vaccination Effect(2025)
Modeling Memorization and Forgetfulness Using Dierential Equations(2013)
Review of the Birch and Swinnerton-Dyer Conjecture(2016)
Application of Homotopy to the Ageing Process of Human Body Within the Framework of Algebraic Topology(2019)
The Fuzzy Experiment Approach for Detection and Prevention of Phishing attacks in online Domain(2020)
Cantor's Ternary Set Formula-Basic Approach(2015)
THE GENERAL kTH CONCEPT OF THE CANTOR SET FORMULA(2018)
Algebraic Construction of The Cantor Set(2018)
Discrete Adomian Decomposition Method for Fuzzy Convection-Diusi on Equation(2015)
Statistical Analysis of Hourly Solar Radiation in Kumasi –Ghana: Bayesian Approach(2016)
On the Application of Homeomorphism on Amoeba Proteus(2021)
The Impact of Deduako Community on Giving in the Church: A Mathematical Analysis(2012)
An Elementary Proof of Riemann's Hypothesis by the Modified Chi-square Function(2016)
SOME SOLVED QUESTIONS ON LITERAL EQUATIONS(2018)
EXTENSION OF THE CANTOR SET: THE MIDDLE 721ST CONCEPT(2018)
Periodic Point as a Recurrent Formation Using the Logistic Function: A Survey(2022)
Using the Logistic Function to Illustrate Periodic Orbits as Recurrent Formation(2017)
EXTENSION OF THE CANTOR SET: THE MIDDLE 407TH CONCEPT(2018)
SOLVED PROBLEMS INVOLVING SIMPLE EQUATIONS: PHASE II(2018)
Numerical solution of partial differential equations using MATLAB: Applications to one-dimensional heat and wave equations(2024)
Volterra Integral Equations: Candid Appreciation(2018)
The Homotopical Proof of Π<sub>1</sub> (<i>S</i>, <i>x<sub>o</sub></i>) as a Fundamental Group in a General Interval(2021)
EXTENSION OF THE CANTOR SET: THE MIDDLE 295TH CONCEPT(2018)
EXTENSION OF THE CANTOR SET: THE MIDDLE 735TH CONCEPT(2018)
EXTENSION OF THE CANTOR SET: THE MIDDLE 703RD CONCEPT(2018)
EXTENSION OF THE CANTOR SET: THE SECOND FOURTH CONCEPT(2018)
Cantor Set: Far-Reaching Implications(2021)
The Universal Coefficient Theorem for Homology and Cohomology an Enigma of Computations(2019)
STRUCTURE TO POLYNOMIAL FUNCTORS IN ORTHOGONAL CALCULUS II(2021)
Approximations in Divisible Groups: Part II(2015)
Application of Linear Integer Programming to Optimal Resources Allocation: A Case Study of Mampong Municipal Assembly, Mampong-Ashanti(2016)
Modeling Newspaper Distribution as Capacitated Vehicle Routing Problem with Time Window: Case Study of Daily Graphic Newspaper, Ashanti Region, Ghana(2015)
Analytical Consideration of Growth in Population via Homological Invariant in Algebraic Topology(2020)
A MATHEMATICIAN’S JOURNEY THROUGH TIME: FROM GALILEO TO EINSTEIN(2020)
Structure to polynomial factors in orthogonal calculus(2021)
Comparative analysis between homotopy group and homology group(2022)
Using the Logistic Map as Compared to the Cubic Map to Show the Convergence and the Relaxation of the Period–1 Fixed Point(2022)
A Mathematical Model and Analysis of COVID-19 Transmission Dynamics with a Case Study of Nigeria and its Computer Simulation(2020)
A comprehensive approach to geometric simplexes(2022)
Aninvestigation Of Winding Number Of A Closed Planar Curve(2022)
Review of: "Analysis of Traub's method for cubic"(2023)
A Review of the Tietze Extension Theorem(2025)
Determination of the Fixed Point of Lotka-Volterra Function(2024)
Grammatical Insights and Spiritual Significance: A Morpho-Syntactic Analysis of Matthew 8:1-4 and Its Implications on Testimony Practices in Ghanaian Pentecostal and Charismatic Congregations(2024)
The Divinity of Christ in a Pluralistic World – A Study of Johannine Christology(2024)
On the fixed points theory of strong partial b- metric spaces(2024)
Investigating the role of chaos theory in understanding and mitigating the impacts of climate change(2024)
A Systematic Review and Bibliometric Analysis of Probability Concepts: Research Methods and Frameworks(2025)
Probability Concepts: A Systematic Literature Review of Students’ Learning Difficulties, Errors and Misconceptions(2025)
Mathematical modelling of measles disease with double dose vaccination(2025)
A Review of the Tietze Extension Theorem(2025)

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.