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A Study on the Strong Minimum/Maximum Principle and Liouville-Type Theorems for Partial Trace Equations with Nonlinear Gradient Terms

Bukayaw, Kindu (2025-07)

The purpose of this dissertation is to study the strong minimum/maximum principle and to investigate various Louisville-type theorems for partial trace equations with nonlinear gradient terms. To investigate the problems ...

Iterative Algorithms for Approximating Solutions of Split Common Fixed Point Problems in Banach Spaces

Dagnachew, Jenber (2025)

Many real-world physical problems are inherently nonlinear in nature. In most cases, obtaining their exact solutions is challenging or even impossible. Consequently, once the existence of solutions is assured, considerable ...

Iterative Methods for Approximating Solutions of Split Equality Problems Involving Variational Inequality and Fixed Point Problems

Gedefaw, Mekuriaw (2025-07)

Nonlinear problems, including variational inequality problems and fixed point problems, are pervasive in various fields like physics, optimization, and economics. These problems often lack closed form solutions and pose ...

Analysis of Thermal and Surface Roughness Effects on the Performance of Infinitely Long Plane Slider Bearings: Finite Element Methods

Girma, Desu (2024-07)

In this dissertation, the Streamline Upwind Petrov-Galerkin finite element method is used to investigate the performance analysis of slider bearings with the effect of temperature and surface roughness on one-dimensional ...

Autonomous Dynamical Systems and Stability Analysis

Tadesse, Akele (2024-09)

This project report is to explore the behavior and stability of autonomous dynamical systems, focusing on their theoretical and practical applications. The primary objective of this study is to analyze the stability ...

An Investigation and Analysis of the Problems Facing the Teaching of Mathematics at Adet Town Adminstration Secondary School Teachers West Gojjam Ethiopia

Simachew, Debie (2024-09)

The purpose of this study was to identify and analyze the problems faced by teachers in teaching mathematics at Adet town administration secondary schools West Gojjam, Amhara Region, Ethiopia and also to find causes of ...

Application of Natural Transform – Decomposition Method for Solving Nonlinear Fractional Order Diffusion Equations

Geremew, Fekadu (2024-09)

In this project, we apply the combination of Natural transform and Adomian Decomposition method to solve fractional order diffusion equations. The linear term in the equation can be solved by using Natural Transform Method ...

Subject Matter Competency of Ethiopian Secondary School Physics Teachers in The Content Areas They Teach

Bantie, Shegaw (2026-06)

Improving students' achievements in physics depends on having well-qualified teachers with strong subject matter competency encompassing knowledge, skills, and attitudes (KSA). In Ethiopia, few researches have explored how ...

Hybrid Machine Learning Models In Banking And Peer-To-Peer Lending For Credit Card Fraud And Credit Risk Prediction: Addressing Data Imbalance With SMOTE

Tamiru, Melese (2025-02-25)

Advancements in technology and e-commerce have made credit cards a common payment method, reducing reliance on cash. However, this shift has also led to a rise in online fraud, causing significant financial losses. ...

Enhancing achievement, problem-solving, and critical thinking of secondary school biology students through problem-based scenarios integrated with indigenous knowledge

Kiros, Tareke (2026-01)

Critical thinking and problem-solving are essential 21st-century skills; however, they remain underdeveloped in Ethiopian secondary education, where biology instruction is often dominated by rote learning, low academic ...

Hybrid Econometric - Deep Learning Models for Volatility and Correlation Forecasting in Stock and Agricultural Commodity Markets

Elias, Dessie (2026-04)

Predicting volatility and correlation in financial assets is crucial for assessing financial risk and achieving effective portfolio diversification. However, conventional econometric models used for forecasting volatility ...

Investigation of Magnetohydrodynamic Non-Newtonian Nanofluid Flow over Stretching Surfaces with Hall and Ion Slip Effects

Wubale, Demis (2026-01)

This dissertation presents a theoretical investigation of magnetohydrodynamic (MHD) flow of non-Newtonian nanofluids over stretching surfaces, with particular focus on the combined effects of Hall currents and ion slip ...

Mathematical Model and Analysis of Fasciola Hepatica Disease Transmission Dynamics with Optimal Control

Dagnaw, Tantie (2025-12)

Fascioliasis, a snail-borne zoonotic disease recognized by the World Health Organization as a neglected tropical disease, significantly impacted human and livestock health and economies, affecting over 700 million animals ...

Parameter Uniformly Convergent Numerical Schemes for Time-Fractional Singularly Perturbed Convection-Diffusion Equations

Habtamu, Getachew (2025-12)

In this dissertation, different parameter uniformly convergent numerical methods are proposed to solve time-fractional singularly perturbed convection-diffusion equations with/without delay in the time variable. The ...

Mathematical Modeling and Optimal Control Strategies of Peste des Petits Ruminants Dynamics in Ethiopia

Yibekal, Walle (2026-03)

Peste des petits ruminants (PPR) is a highly contagious viral disease that severely threatens the livelihoods and food security of smallholder farmers across Africa, the Middle East, and Asia, including Ethiopia, where ...

Heat and Mass Transfer Analysis of Non-Newtonian Hybrid Nanofluid Flows over Stretching Surfaces

Asfaw, Tsegaye (2026-06)

This dissertation investigates heat and mass transfer in two- and three-dimensional electrically conducting non-Newtonian hybrid nanofluid flow over a stretching surface embedded in a porous medium. The Tiwari–Das and ...

ε- Uniformly Convergent Numerical Schemes for Singularly Perturbed Parabolic Convection–Diffusion Problems with Boundary Turning Point

Yimesgen, Mehari Kebede (2026-06-16)

In this dissertation, fitted operator and fitted mesh numerical methods are developed for singularly perturbed parabolic differential and differential-difference equations with boundary turning points. These problems ...

Minimizing Secondary School Students’ Misconceptions About Electricity Using Conceptual Change Text Integrated With Formative Feedback: A Design-Based Research

Yibeltal, Dessie Belay (2026-06)

This study investigated the effectiveness of integrating Conceptual Change Texts (CCTs) with systematic formative feedback to minimize Grade 10 students‟ misconceptions and enhance their conceptual understanding of ...

Fitted Numerical Methods for Singularly Perturbed Parabolic Diffusion-Type Problems with Boundary Layers

Amare, Worku (2026-06)

This dissertation focuses on the formulation and analysis of various fitted numerical methods for the solution of singularly perturbed parabolic diffusion-type problems characterized by boundary layers, both in the ...

Adapting Realistic Mathematics Education For Grade 9 Mathematics At Millennium Progress Academy: A Design-Based Research Study In Bahir Dar City

Jenberu, Tefera (2026-06)

This Design-Based Research (DBR) study investigated the adaptation of Realistic Mathematics Education (RME) for teaching Grade 9 mathematics in an Ethiopian secondary school context. The study addressed the adaptation ...

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