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An Iterative Algorithm for Approximating a Common Fixed Point of a Finite Family of Pseudo-pseudocontractive Mapping in Hilbert Space. Thesis

Asefa, Abera; Getahun, Bekele; Abebech, Yifru (2022-06)

In this thesis we introduced an iterative algorithm for approximating a common fixed point of a finite family Pseudo-pseudocontractive mappings in Hilbert space and proved a strong convergence of a sequence generated by ...

Higher Order Layer Resolving Numerical Scheme For Singularly Perturbed Boundary Turning Point Problems Thesis

Eyasu, Petros; Tesfaye, Aga; Gemechis, File (2022-06)

In this thesis, higher-order layer resolving numerical scheme is presented for singularly perturbed boundary turning point problems. The method is attempted on piecewise uniform mesh of the shishkin mesh type. The discrete ...

Common Fixed Point Results for Rational Type Geraghty Contraction Mappings in B-Metric Spaces Thesis

Desalegn Oljira; Kidane Koyas; Bontu Nasir (2022-02-04)

In this thesis work, we established common fixed point results for Suzuki-rational Geraghty contractive mappings in b-metric spaces and proved the existence and uniqueness of commons fixed point for a pair of self-mappings ...

Boundedness and Compactness Of Generalized Integration Operators on Fock Spaces Thesis

Hafiz A/Bor; Mafuz Humer; Nigussa Lamessa (2022-06-04)

Different properties of Volterra-type integral operator have been studied in the past two decades on several functional spaces. In particular, on Fock spaces boundedness and compactness of the operator was studied by ...

Exponential Fitted Operator Method for Solving Second Order Singularly Perturbed Problem Having Large Delay Thesis

Osman Nuru; Habtamu Garoma; Masho Jima (2022-01-04)

In this thesis, exponential tted operator method has been presented for solving second order singularly perturbed problem having large delay. The stability and parameter uni form convergence of the proposed method are ...

Almost second order finite difference method for singularly perturbed delay differential equations Thesis

Nezifa Mohammed Kedir; Gemechis File; Tasfaye Aga (2022-06)

In this thesis, we consider singularly perturbed differential equation containing delay parameter on the convection and reaction terms. The considered problem exhibits left or right boundary layer, depending on the sign ...

Accelerated Fitted Mesh Finite Difference Method For Singularly Perturbed Self-Ad joint Boundary Value Problem Thesis

Kassaw Ayalew; Gemechis File; Tesfaye Aga (2022-02-21)

In this thesis, accelerated tted mesh nite di erence method is presented for solving Singularly perturbed Self-adjoint boundary value problems. First, the derivatives of the di erential equation are transformed into ...

Common Fixed Point Theorems for a Pair of Contractive Mappings in Partially Ordered b-Metric Space Involving Simulation Functions Thesis

Mohamedamin Temam; Kidane Koyas; Solomon Gebregiorgis (2022-04)

In this research, work we introduced common fixed point theorems for a pair of contractive mappings in partially ordered b-metric spaces involving simulation functions. Our results extend and generalize related fixed ...

Nonstandard Finite Difference Schemes for HIV Models Arising in Epidemiology Thesis

Girma Tadesse; Woinshet Defar; Lukas Degu (2022-05)

In this study, the numerical solution of Nonstandard Finite Difference Schemes for HIV Models Arising in Epidemiology have been presented. First, the given domain or region is discritized and the derivatives of the ...

Existence And Uniqueness Of Solutions For Two Point Second Order Sturm Liouville Boundary Value Problems via Upper And Lower Solution Method Thesis

Abdi, Ahimed; Dr. Wesen, Legese; Mr. Girma, Kebede (2022-06)

In this paper, the conditions for the existence and uniqueness of solution of lower and upper solutions of second order non- linear ordinary di erential equations were considered. New de nitions of upper and lower solutions ...

Fractional Navier-Stokes Equation Via Conformable Double Laplace Transform Method Thesis

Temesgen Abire Terefe; Yesuf Obsie; Ademe Kebede (2022-02-01)

This work presents a conformable double Laplace transform method to get analytic approximate solutions for linear one- dimensional Navier-Stokes partial differential equations (PDEs) of fractional-order in conformable ...

Time Fractional Order Fornberg-Whitham Equations Via Fractional Reduced Differential Transform Method Thesis

Yaregal Muche; Yesuf Obsie; Ademe Kebede (2022-02-04)

The fractional reduced differential transform method (FRDTM) was a well-known method for finding an approximate analytic solution for linear and nonlinear fractional partial differential equations. FRDTM is an effective ...

Accelerated nonstandard finite difference method for solving singularly perturbed parabolic reaction diffusion problem. Thesis

Alemayehu Fersha; Tesfaye Aga; Worku Tilahun (2022-02)

In this study, accelerated nonstandard finite difference method is presented for solving singularly perturbed parabolic reaction diffusion initial boundary value problems. Richardson extrapolation technique applied to ...

A Common Fixed Point Result for α - Admissible Z-Contraction Mapping via Simulation Function in the Setting of b-Metric Spaces Thesis

Raga Keno; Kidane Koyas; Solomon Gebregiorgis (2022-02-04)

In this thesis, we introduced a new class of maps namely an almost generalized α admissible Z- contraction pair of maps and establish a common fixed point theorem. Moreover, we prove the existence and uniqueness of common ...

Fixed Point Results for Generalized Rational (α,ψ,φ)- Geraghty Contraction Type Mappings in b- Metric Spaces Thesis

Bezuayehu Nigusie; Kidane Koyas; Mustefa Abduletif (2022-02-04)

In this research work we introduced generalized rational (α,ψ,φ)-Geraghty con traction type mappings and proved existence and uniqueness of fixed point for the mappings introduced in the setting of complete b-metric spaces. ...

assessment of School principal leadership effectiveness in some selected secondary schools of West Omo Zone, SNNPR Thesis

Teshale Getahun; Abeya Geleta; Fedilu Abbagumbul (2022-03)

The purpose of the study was to investigate school principal’s leadership effectiveness in some selected secondary school in West Omo zone. To conduct the study descriptive survey design was used with both qualitative and ...

Existence of Positive Solutions for Nonlinear Second Order Two Point Integral Boundary Value Problem Via Novel Fixed Point Theorem Thesis

Bogale Kebede; Wesen Legese; Solomon Bati (2022-02-04)

This thesis is concerned with existence of positive solutions for second order integral boundary value problem. It also presents the construction of Green’s function for corrospond ing non-trivial homogeneous equation by ...

Fixed Point Results for Generalized Suzuki (y;f) - Contraction and (y;f) -Jungck-Suzuki Contraction Type Mappings in Complete b-Metric Spaces Thesis

Fikiru Garoma; Kidane Koyas; Mustefa Abdulatif (2022-02)

In this research, we introduced new class of mappings called generalized (y;f)- Suzuki-type mappings and generalized (y;f)- Jungck-Suzuki contraction type mappings and established existence and uniqueness of fixed point ...

Mathematical Modeling and Analysis Enzyme Kinetics in the sense of Caputo Fabrizio Fractional Derivative Thesis

Eshetu Shafi Kedir; Chernet Tuge; Dinka Tilahun (2022-02)

In this thesis, Mathematical model of enzyme kinetics in the sense of Caputo-Fabrizio fractional derivative was investigated. The thesis encompasses the following fruitful findings. Existence and uniqueness solution of the ...

Existence and Uniqueness of a Positive Solution for Four-Point Boundary Value Problems in a Cone. Thesis

Wesen Legesse; Guta Demessa; Abebech Yifru (2022-02-01)

In this thesis, we constructed the Green's functionfor corresponding homogeneous equation by using its properties. Under the suitable conditions, we established the existence and uniqueness of positive solution for ...

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