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Fitted Non-Polynomial Cubic Spline Method For Solving Singularly Perturbed Robin Type Boundary Value Problems With Discontinuous Source Term Thesis

Hawi, Oljira Fayisa; Habtamu, Garoma; Masho, Jima (2023-05)

In this thesis, fitted non polynomial cubic spline method for solving singularly perturbed robin type boundary value problems with discontinuous source term is considered. The stability and parameter uniform convergence ...

Fourth-Order Finite Difference Scheme on Non-uniform Mesh for Semilinear Singularly Perturbed Reaction-Diffusion Problems Thesis

Birtukan, Tebabal Reda; Tesfaye, Aga Bullo; Gemechis, File Duressa (2023-06)

In this thesis, fourth-order finite difference scheme on non-uniform mesh for semilinear singularly perturbed reaction-diffusion problem is presented. The quasilinearization technique is used to linearize the semilinear ...

Essential Norm Of Generalized Integration Operator On Fock Space Thesis

Misganu, Mekonnen; Mafuz, Humer; Getahun, Bekele (2022-12)

In the past two decades, different properties of the integral operator have been studied in several functional spaces. In particular, on Fock spaces boundedness and compactness of the operator were studied by (Constantin, ...

An Iterative Algorithm for Split Equality Fixed Point Problem of Pseudo-pseudo Contractive Mappings in Hilbert Space Thesis

Teyib A/Oli A/Chebsa; Getahun Bekele; Abebech Yifru (2023-07)

In this thesis we introduced an iterative algorithm for approximating a solution of split equality fixed point problems (SEFPP) of peudo-pseudo contractive mappings in Hilbert spaces and proved the strong convergence of ...

Approximate Analytical Solutions to the One-Dimensional Fisher Equation Via Conformable Fractional Reduced Differential Transform Method Thesis

Keyiru AbaFogi Jorga; Yesuf Obsie; Ademe Kebede (2023-06)

In many branches of science, such as population dynamics, ecology, and epidemic modeling, the one-dimensional Fisher equation is very important. In this study, we recommend using the conformable fractional reduced ...

Schatten Class Generallized Integration Operators on Fock Spaces Thesis

Kamil Biya; Mafuz Humer; Mustefa Abduletif (2023-06)

Different properties of Volterra-type integral operator have been studied in the past two decades on several functional spaces. In particular, on Fock spaces Volterra type integral operator studied by (Constantin, 2012 ...

Mathematical Modeling and Analysis of Malaria Transmission Dynamics Incorporating Environmental Contamination Thesis

Addise Rameto Ergudo; Chernet Tuge; Dinka Tilahun (2023-06)

Malaria is one of the main public health problems in Ethiopia. This inspires an urgent need of conducting a comprehensive study as input for policy makers and future preparation to mitigate malaria in the country and the ...

Fitted Mesh Finite Difference Method for Singularly Perturbed Time-Fractional convection diffusion Problem Thesis

Yohannes Abate Alemu; Gemechis File; Worku Tilahun (2023-06)

In this thesis, fitted mesh finite difference method is presented for time-fractional parabolic convectiondiffusion problem with variable coefficients. The time-fractional derivative is considered in the Caputo sense. ...

Some topological properties of generalized Integration operators on fock spaces Thesis

Aklilu Defar Lambore; Mafuz Humer Worku; Nugusa Lamesa (2023-06)

On the past several years, different topological properties of Volterra-type integral operators is among an operator on several functional spaces, which was studied widely. In particular, on the Fock spaces (Constantine ...

Nonstandard finite difference method for solving Second order singularly perturbed problem having Large delay Thesis

Mulat Emagne Bekele; Habtamu Garoma Debela; Worku Tilahun Aniley (2023-02)

In this thesis, nonstandard fitted finite difference method has been presented for the numerical solution of a second order singularly perturbed problems having large delay. The behavior of the continuous solution of the ...

Numerical Method For Solving Double Integral Using Gauss-Legendre Integration Thesis

Muluken Alemu; Alemayehu Shiferaw; Sisay Dibaba (2023-04)

In this thesis, we have solved the double integrals by extending Gauss-Legendre rule on the rectangular regions [a,b]x[c,d].The given region of integration are transformed to [−1,1]x [−1,1] is evaluated as the functional ...

Existence of multiple positive solutions for Fourth order integral boundary value problems With two parameters Thesis

Kelbessa Geremew Balcha; Wesen legesse; Girma Kebede (2022-12)

Exponentially Fitted Modified Upwind Scheme For Singularly Perturbed Convection-Diffusion Problem Thesis

Belay, Bekele; Tesfaye, Aga Bullo; Gemechis, File Duresa (2022-12)

In this thesis, an exponentially fitted modified upwind difference scheme is presented for solving singularly perturbed convection-diffusion two point boundary value problems whose solution exhibits right boundary layer. ...

Exponential Fitted Operator Method For Singularly Perturbed Delay Differential Equation With Discontinuous Source Term Book

Merdasa, Taye Fite; Habtamu, Garoma Debala; Gemechis, File Duresa (2022-12)

The aim of this thesis is to present exponential fitted operator method for singularly perturbed delay differential equation with discontinuous source term.Due to the discontinuity an interior layer appears in the solution ...

Exponentially fitted numerical method for singularly Perturbed differential equation involving both small And large delay Thesis

Negasa Ruda; Habtamu Garoma Debala; Gemechis File Duresa (2022-02)

The aim of this thesis is to present exponentially tted numerical method for singularly per- turbed di erential equations involving both large and small delay.The stability and parameter uniform convergence of the ...

Mathematical Modeling and Stability Analysis of Corruption Dynamics Thesis

Abdulaziz Sherif; Chernet Tuge; Dinka Tilahun (2022-08)

In this thesis, Mathematical model of for corruption dynamics was developed based on compartmental approach. The thesis incorporates the following fruitful findings. Boundedness and positivity of the solution of the model ...

Higher-Order Numerical Scheme for Semi-linear Singularly Perturbed Reaction-Diffusion Problem Thesis

Worku, Wolancho; Tesfaye, Aga; Masho (2022-05)

In this paper, a higher-order numerical method presented for solving semi-linear singularly perturbed reaction-diffusion problems. The quasilinearization technique is used to linearize the semi-linear term. After uniform ...

MATHEMATICAL MODELING AND SENSITIVITY ANALYSIS OF COVID-19 Thesis

Chernet, Tuge; Moti, Asefa; Dinka, Tilahun (2022-06-24)

Coronaviruses are a large family of viruses that cause illness ranging from the common cold to more severe diseases. In this study, Mathematical Modeling and Sensitivity Analysis of Covid-19 was studied. For this, we ...

Mathematical Modeling and Analysis of Coffee Fruit Disease Thesis

Yohanis Tadele; Chernet Tuge; Dinka Tilahun (2022-02)

In this thesis, mathematical model for coffee fruit disease was developed based on compartmental approach. The thesis encompasses the following fruitful findings. Boundedness and positivity of the model were proved. The ...

Solving The Double Integrals By Extending Simpson’s 3/8 Rule Thesis

Gemachu, Terfasa; Alemayehu, Shiferaw; Sisay, Dibaba (2022-06)

In this thesis, we have solved the double integrals by extending Simpson’s 3/8 rule on the regions that are either vertically or horizontally simple, (or both). The given region of integration is discretized and the ...

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