• Broyden and Quasi-Newton Methods for Nonlinear Systems of Algebraic Equations and Extension to Homotopy and Optimization Applications 

  Mengistu, Betelehem (Addis Ababa University, 2020-03-12)

  In the field of science and engineering, researches often come across with problems model by system of nonlinear algebraic equations that cannot solve easily. Numerical convergence for many problems, typically solved by ...
• Weak Idempotent Rings 

  Wasihun, Dereje (Addis Ababa University, 2020-11-11)

  We introduce the notion of Weak idempotent ring (WIR, for short) which is a ring of characteristic 2 and a4 = a2 for each a in the ring. We obtain certain properties of this class. Further we provide examples of weak ...
• Mixed Integer Programming Approach for Inventory Distribution System 

  Genene, Aster (Addis Ababa University, 2020-12-12)

  Optimization is a mathematical problem that has many real-world applica- tions. It is used to determine minimizers or maximizers of a multi-variable real function, under a restricted domain. The thesis presented here ...
• Upper and Lower Solutions For BVPs on the Half-Line With Derivative Depending Nonlinearity 

  Yimer, Ibrahim (Addis Ababa University, 2014-03-03)

  This paper concerns the existence of solutions of a second order non linear boundary value problem with a derivative depending non linearity and posed on the positive half line. The derivative operator is time dependent. ...
• Differential Equations 

  Nigussie, Tolesa (Addis Ababa University, 2016-07-07)

  This paper considers the numerical solution of boundary integral equations of the sec- ond kind, for Laplace's equation _u = 0 on connected regions in R3 with bound- ary @. The boundary @ is allowed to be smooth or ...
• An Overview of Maximum Principle for Elliptic Pdes 

  Kumelachew, Bizuayehu (Addis Ababa University, 2016-09-09)

  In this paper, we shall study linear elliptic partial differential equations of second order, ( ) ( ) ( ) 0 ,     i j i ij ij i i Lu a x u b x u c x u on a bounded domain n   R with regular boundary . The ...
• Sensitivity Analysis in Linear and Nonlinear Programming Models 

  Sisay, Aragaw (Addis Ababa University, 2015-07-07)

  Sensitivity analysis shows how the optimal solution and the value of its ob- jective function change, given changes in various inputs to the problem. The task of sensitivity analysis is to _nd out the change limits of ...
• The Cauchy- Problem With the Heat Equation 

  Eshetu, Abebe (Addis Ababa University, 2014-06-06)

  This report attempts to study solution of explicit linear PDE of second order, the heat equation u k u f t With certain symmetry condition on the solution u .In this regard, some sort of scaling of variables is introduced ...
• Asymptotic Solutions of Ordinary Differential Equations Having an Irregular Singular Point 

  Yesuf, Jemal (Addis Ababa University, 2010-06-06)

  The problem of finding a basis solution of linear homogeneous ordinary differential equations with variable coefficients is, in general difficult. Indeed a considerable effort was directed at constructing solutions of ...
• Method of Characteristics on Wave and Burger's Equations 

  Mehari, Tigistu (Addis Ababa University, 2014-08-08)

  This project provides how the method of characteristics is applied to derive the fundamental solution of linear homogeneous wave equation and how shock waves and shock solutions are formed by a discontinuous initial ...
• Geophysical Investigation for Ground Waterpotential Assessment and Mapping Structures at Alidege Plain, South Afar, Ethiopia 

  Mulugeta, Tewodros (Addis Ababa University, 2011-06-06)

  Vertical Electrical Sounding data collected over the Alidege Plain, located in the Zone 2, of the Afar Regional State has been used in this work. The plain is an extensive flat northeast- southwest running plain in the ...
• Maximum flow Minimum Cost Problem in a Network 

  Tsegay, Tsadkan (Addis Ababa University, 2014-06-06)

  Maximum ow minimum cost(MFMC) problem combines sending as much ow as possible from the source node to the sink node with minimum cost.Here the attributes for the network are the capacity,ow and cost per unit ow of an arc ...
• Fractional Bernoulli Numbers and Polynomials 

  Woldeyohannes, Eyerusalem (Addis Ababa University, 2019-07-09)

  In this thesis, we investigate the fractional Bernoulli numbers Ba;m and poly- nomials Ba;m(z) for all positive fractions a = ; 6= 0. We establish several properties of these numbers and polynomials which are ...
• The Minimum Cost Maximum Flow Problem 

  Solomon, Dawit (Addis Ababa University, 2012-01-01)

  The main objective of this project is to present different approaches to solve minimum cost maximum flow problem, which is one of the problems we face in "network flow problems." The first chapter of this paper gives us ...
• Eigenpairs of Fredholm Integral Operators With Separable Kernel 

  Atnaw, Malede (Addis Ababa University, 2012-02-02)

  An integral equation is an equation in which the unknown function appears in the integrand. There are different types of integral equations, among these Fredholm integral equation is an integral equation with constant ...
• Integral Equations and S ome Basic Preliminary Concepts 

  Hailu, Abraham (Addis Ababa University, 2010-06-06)

  In certain problems that we encounter it is common to get equations in which the unknown function occurs under an integral sign. Such equations are termed as integral equations. Integral equations are use full to solve ...
• The Method of Characteristics and Classical Solutions of First Order Pdes 

  Abiy, Surafel (Addis Ababa University, 2014-08-08)

  The method of characteristics is a powerful method that allows one to reduce any rst-order linear PDE to an ODE, which can be subsequently solved using ODE techniques and it can be generalized to quasilinear equations ...
• Stability Iin Non-Linear Ordinary Differential Equations 

  Daba, Yitagesu (Addis Ababa University, 2010-06-06)

  Many important physical problems arising in Engineering and applied science are modelled directly or indirectly by ordinary differential equations which are actually non-linear. Therefore, the paper is concerned with ...

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