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Isaac Kwame Dontwi

Mathematics

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Research Summary

(inferred from publications by AI)

The overall research focus is centered on the integration of advanced mathematical models and innovative analytical techniques to enhance our ability to understand and predict complex phenomena across various domains. Through a blend of theoretical advancements in areas such as fractional differential equations, image processing methodologies, and epidemiological studies, researchers aim to develop robust frameworks that can be applied to fields ranging from health sciences to environmental management. By leveraging cutting-edge approaches like modified semiseparation methods, Chebyshev wavelets collocation techniques, and network information criterion adjustments, mathematical models are increasingly used to address challenges in disease spread, ecological systems, transportation planning, and public health interventions.

Research Themes

All Papers

Fractional Order SIR Model with Constant Population(2016)
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)
Fractional radial-cylindrical diffusivity model for levels of heterogeneity in petroleum reservoirs(2017)
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)
Fractional Gauss Hypergeometric Power Series Method for Solving Fractional Partial Differential Equations(2025)
Fractional Order Optimal Control Model For Malaria Infection(2016)
Fractional Order Malaria Model With Temporary Immunity(2016)
The Fractional Separation of Variables Method For  Solving System Of Nonlinear Fractional Partial Differential Equation(2024)
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)
A new construction of a fractional derivative mask for image edge analysis based on Riemann-Liouville fractional derivative(2016)
On the Analysis and Numerical Formulation of Miscible Fluid Flow in Porous Media Using Chebyshev Wavelets Collocation Method(2016)
A Mathematical Model to Predict the Prevalence and Transmission Dynamics of Tuberculosis in Amansie West District, Ghana(2014)
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)
Performance Analysis of Image Smoothing Techniques on a New Fractional Convolution Mask for Image Edge Detection(2016)
Stability Analysis of Zika – Malaria Co-infection Model for Malaria Endemic Region(2018)
Stability Analysis of Multi-Infections (Malaria, Zika-Virus and Elephantiasis) Model(2019)
Traffic-data driven modelling of vehicular emissions using COPERT III in Ghana: A case study of Kumasi(2010)
A Theoretical Model for the Transmission Dynamics of the Buruli Ulcer with Saturated Treatment(2014)
Optimal Control Applied to the Spread of Buruli Uclcer Disease(2014)
Technical efficiencies of Ghanaian general insurers(2010)
Modelling Hepatitis B in A High Prevalence District in Ghana(2014)
Using Mathematical Model to Depict the Immune Response to Hepatitis B Virus Infection(2011)
Predicting the timing of second praziquantel treatment and its effect on reduction of egg counts in southern Ghana(2004)
The Modified Homogeneous Balance Methods for solving Korteweg–DeVries equations(2024)
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)
A Rigorous Homogenization for a Two-Scale Convergence Approach to Piping Flow Erosion with Deposition in a Spatially Heterogeneous Soil(2020)
A Formal Homogenization Approach to Piping Flow Erosion with Deposition in a Spatially Heterogeneous Soil(2020)
A New Multicontinuum Model for Advection-Diffusion Process of Single-Phase Nonlinear Flow in a Multiscale Fractured Porous Media(2022)
A new macro-scale volume averaged transport model for diffusive dominated non-Darcian flow problem in multi-scaled naturally fractured reservoirs(2022)
Modeling Memorization and Forgetfulness Using Dierential Equations(2013)
Chebyshev wavelets collocation method for simulating a two-phase flow of immiscible fluids in a reservoir with different capillary effects(2019)
Threshold Analysis of Wavelet Based Fingerprint Feature Extraction Methods on Multiple Impression Dataset(2014)
A matching scheme for aquaculture; a graphing calculator approach(2007)
Ascertaining the Financial Cost of Malaria and Mitigating against It Using Actuarial Models for Financial Cost(2013)
A Mathematical Model for Mycolactone Toxin Reaction and Di usion in Cell Cytoplasm(2018)
Improved estimators for the rate parameter of gamma model using asymptotic properties(2021)
An Adjusted Network Information Criterion for Model Selection in Statistical Neural Network Models(2016)
Mathematical Model of Two Isomeric Conformations for WASP Autoinhibition(2014)
Optimal Allocation of Flows (Water) Within the Volta Basin System of Ghana(2010)
Application of an index-based scheme to fish pond culture in Ghana(2010)
Research in Graphing Calculator Use: A Preliminary Report(2001)
Comparing Mathematical Models for the Rate of Clot Dissolution during Laminar and Turbulent Flows using Reynolds Numbers(2017)
An Adjusted Network Information Criterion for Model Selection in Statistical Neural Network Models(2015)
The Quotient Inequalities(2019)
OCCUPATIONAL EXPOSURE TO IONISING RADIATION IN MEDICAL FACILITIES AND POSSIBLE HEALTH IMPLICATIONS: A CASE STUDY IN RADIOLOGICAL OR X-RAY DEPARTMENTS IN SOME SELECTED HEALTH FACILITIES IN GHANA(2019)
The “Determinant Of The Jacobian Matrix” As A Purely Determining Factor Of A Vegetation Pattern Formation Under Turing Instability(2019)
On the Level of Precision of the Wavelet Neural Network in Rainfall Analysis(2014)
Determination of the Fixed Point of Lotka-Volterra Function(2024)
On the fixed points theory of strong partial b- metric spaces(2024)
Fixed point theory with partially ordered metric spaces and homotopy(2024)
Fixed point of discrete dynamical system of Lotka Volterra model(2024)

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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.