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Browsing Mathematics by Title

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  • Daniel, Gloria (Addis Ababa University, 2016-06)
    This project is about the Galerkin method and its variants.Its variation are the Petrov- Galerkin method,the generalized Galerkin method and Conjugate gradient method. The Galerkin method provides numerical method to ...
  • Aseressie, Eyerusalem (Addis Ababa University, 2014-06)
    Ballot problem was introduced in the late nineteen century to determine the probability of counting of votes when there are two candidates A and B such that A receives a votes, and B receives b votes with a > b. This ...
  • Tesfaye, Yohannes (Addis Ababa University, 2010-06)
    We study the method to find a generalized solution to the linear inhomogeneous differential equations of different orders. Here first, second and fourth order linear inhomogenous differential equations are considered. We ...
  • Shiferraw, Abdissa (Addis Ababa University, 2012-02)
    We study on how to find a generalized solution of boundary value problems of different orders with jump discontinuity. Here first, second order linear inhomogeneous differential equations are considered and then we extend ...
  • Mekasha, Beletew (Addis Ababa University, 2014-06-17)
    Multi-objective formulations are a realistic models for many complex optimization prob- lems. In this project we presented multiobjective optimization problems using genetic algorithms developed specically for the problems ...
  • Desta, Temesgen (Addis Ababa University, 2012-01)
    1;0Among all infinite dimensional Banach spaces, Hilbert spaces have the nicest and simplest geometric properties. In Hilbert spaces the following two identities for all and 2) for all play a key role in managing ...
  • Ayeru, Amsalu (Addis Ababa University, 2015-11)
    This project presents priority based fuzzy goal programmingapproach to multi-objective quadratic programming problem. Inthe proposed approach, we construct the quadratic membershipfunctions by determining the individual ...
  • Girmay, Berihu (Addis Ababa University, 2014-08)
    In this report, we discuss about distributions and show how to and fun- damental solutions of linear dierential operators with constant coecients with the help of Fourier transform. Then and the fundamental solution of ...
  • Bewket, Damtew (Addis Ababa University, 2011-06)
    This project is about the formulation and main theorems of percolation theory. It was introduced by Broadbent and Hamersley as a model for the flow of fluids in porous media and it is primarily concerned with the existence ...
  • Anberber, Gezahegn (Addis Ababa University, 2013-02)
    In the study of solving operator equation, the geometric properties of underling space has a great role. It is the purpose of this project to observe the geometric properties of Banach spaces that resemble Hilbert spaces. ...
  • Balcha, Solomon (Addis Ababa University, 2012-02)
    The purpose of this study was to investigate the overall qualitative behavior of two dimensional linear systems such as classification of the systems from the dynamical point of view and in particular. To obtain insight ...
  • Eshetu, Assaye (Addis Ababa University, 2014-08)
    In this paper, we investigate some boundary value problems for two dimensional harmonic functions. That is basic introduce new tools for solving Dirichlet problems, Poisson’s equations and Neumann problems with Green’s ...
  • Belete, Solomon (Addis Ababa University, 2012-06)
    In this thesis we present the basic concepts and results of Groebner basis for a polynomial ideal over a field and introduce an algorithm for computing and then present an improvement of Buchberger's algorithms for ...
  • Debebe, Wubshet (Addis Ababa University, 2019-07-05)
    This paper is concerned with harmonic function and partial di erential equation. Harmonic functions are regarded as solutions of Laplace equation which have a number of properties that are essential in solving partial ...
  • Mekonnen, Bezuneh (Addis Ababa University, 2018-09-01)
    In this paper, heat equation is derived using Fourier’s law of heat conduction and conservation of energy. In addition to this two laws Greens and divergence Theorem are used to change or transform line integral in to ...
  • Ebrahim, Haider (Addis Ababa University, 2017-05-17)
    In 1936 Hecke proved a correspondence theorem between Dirichlet series with functional equations and automorphic forms with certain growth conditions. In this correspondence, the Dirichlet series has at most simple poles ...
  • Debela, Oluma (Addis Ababa University, 2018-09-01)
    In this thesiswe study two important families of polynomials calledHermite and Laguerre polynomials. These special functions, like so many others functions arise as solutions of ordinary differential equations and have ...
  • Hagos, Kaleay (Addis Ababa University, 2018-08-12)
    In this project we study various solution techniques of Hermite differential equations, properties of Hermite polynomials and physical application of Hermite equations and Hermite polynomials to quantum harmonic oscillator.
  • Birhanu, Moges (Addis Ababa University, 2013-02)
    The Hille - Yosida Theorem is one of the most useful tools in the study of existence of a unique solution for evolution problem i.e., 8< Du+au=0 Dt(0)=u0 + Au = 0; on [0;+1); u(0) = u0; where A is a maximal monotone ...
  • Awgchew, Tesfaye (Addis Ababa University, 2011-01)
    In this work our definition of Semiring is given without zero 0 and unity 1. The focus of the study is to give appropriate evaluation on Semirings which have their own related properties with Distributive lattices. We prove ...

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