BDU IR

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Mathematics: Recent submissions

  • THE SOLUTION OF PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS IN CHEBYSHEV SERIES 
    TIBEBU, ABIEBIE (2017-08-17)
    This project provides a practical overview of numerical solutions to parabolic partial differential equation in Chebyshev series. The method is given for the numerical solution of a linear parabolic equation in the ...
  • IRROTATIONAL MOTION OF A SPHERE 
    MIHRET, ADDIS KEBEDE (2017-08-17)
    Abstract This project work is discussed to investigate the equation of motion of sphere in three dimensions. It is done by considering three dimensional irrotational flows over a sphere using potential functions. ...
  • PSEUDO-SUPPLEMENTED ALMOST DISTRIBUTIVE LATTICES 
    MESFIN, RETA (2017-08-17)
    In this paper, we introduce the concept of Pseudo - Supplemented Almost Distributive Lattice (PSADL) as a generalization of Pseudo - Supplemented lattice in the class of ADLs . We drive many fundamental properties of ...
  • Closed and Dense Elements in Semi Heyting Almost Distributive Lattices 
    MASSRESHA, TEBABAL (2017-08-17)
    In this paper, we define the concept of a closed element and dense element in Semi Heyting Almost Distributive Lattice (SHADL) and derive some properties of closed elements and dense elements of . We also observe that ...
  • FOURTH ORDER ROOT FINDING METHOD OF EULER’S TYPE 
    KUMNEGER, YIHUNE (2017-08-17)
    In this project an iterative method of the fourth order for solving nonlinear equations of the form 0)( =xf is discussed. The comparison with other existing methods is performed regarding the computational efficiency ...
  • URYSOHN LEMMA 
    FEKADU, YEMATAW (2017-08-04)
    n this report, some properties ofthe separation ofany two distinct points, points and closed sets, and any two closed sets in a topological space are studied. Particularly, we can separate any two closed sets on a normal ...
  • THE DYNAMICS OF TWO-SPECIES ALLELOPATHIC COMPETITION WITH OPTIMAL HARVESTING 
    HASSAB, MESERET (2017-08-04)
    In this project, we analyse a bionomic model of two competitive species in the presence of toxicity with different harvesting efforts. It is noted that under certain parametric restrictions, the model has a unique positive ...
  • SPLINE SOLUTION OF NONLINEAR TWO POINT BOUNDARY VALUE PROBLEMS 
    MOLLA, ENDALEW BEKELE (2017-08-04)
    This project introduces the use ofdifferent spline interpolatingformula: cubic, quartic, quintic and sextic for solving nonlinear two point boundary problems. These methods also enable us to approximate successive ...
  • REFINEMENT OF ACCELERATED OVER RELAXATION ITERATIVE METHOD FOR SOLVING SYSTEM OF LINEAR EQUATIONS 
    YENUS, DAWED ENDRIS (2017-08-03)
    The accelerated over relaxation (AOR) method is the general method of Jacobi ,Gauss-Seidel, and successive over relaxation methods .It is used for solving systems of linear equations, but its rate of convergence is ...
  • REED SOLOMON CODE 
    SHIMELIS, AYELE (2017-08-03)
    In this report, the cyclic error correcting code: Reed Solomon code which is constructed by using Galois Field is presented to correct an error during transmission ofcode words in the noisy channel. Ifthe sender sends ...
  • PSEUDO-COMPLEMENTATION ON ALMOST DISTRIBUTIVE LATTICES 
    ZELALEM, DESTA (2017-08-03)
    The concept of a pseudo complementation * on almost distributive lattice (ADL) with 0 IS introduced and it is proved that it is equationally definable. A one-to-one correspondence between the pseudo complementation*on ...
  • PROPERTIES OF STONE ALMOST DISTRIBUTIVE LATTICE 
    MENGISTU, TAYE BIRHAN (2017-08-03)
    The purpose of this project is to discuss the concept of"Properties of Stone Almost Distributive lattice" in terms of its dense element and its center. we define different set of axioms which characterize the class ...
  • NUMERICAL SOLUTIONS OF ELLIPTIC PARTIAL DIFFERENTAL EQUATIONS BY USING FINITE VOLUME METHOD 
    HABTAM, ENDALEW (2017-08-03)
    The main objective of this project IS to find the numerical solutions of the elliptic partial differential equation by using Finite Volume Method. That is, to introduce the Finite Volume Method and its error estimation ...
  • NUMERICAL SOLUTION OF A FLUID FLOW IN A NON-UNIFORM CHANNEL: APPLICATION TO RENAL FLOW 
    RUTH, GETA ABEBE (2017-08-03)
    A numerical method is developed for an investigation ofviscous, incompressible fluid flow in a channel with slowly varying cross-section with absorbing walls. The proposed mathematical model can be applied to understand ...
  • MATHEMATICAL MODEL OF TUBERCULOSIS TRANSMISSION WITH RECCURENT INFECTION AND VACCINATION 
    Assefa, Denekew Zewdie (2017-08-03)
    This project presents a model of Tuberculosis transmission with reccurent infection and vaccination. The mathematical model on dynamics of Mycobacterium Tuberculosis was discussed to assess the impact of vaccination. ...
  • LINEAR MULTISTEP: PREDICTOR-CORRECTOR METHOD 
    HENOK, TENAW (2017-08-03)
    The aim of the report is to provide convenient predictor-corrector (P-C) methods for obtaining accurate numerical solution at a minimum cost to first order ordinary differential equations (ODE) with specified initial ...
  • LINEAR MULTISTEP METHODS FOR A SPECIAL CLASS OF SECOND ORDER ORIDINARY DIFFERENTIAL EQUATIONS 
    ANGESOM, ABRHA (2017-08-03)
    This report concerns about linear multistep method for a special class of second order ordinary differential equations. In this report, order, consistency, zero stability and convergence of linear multistep method are ...
  • LINEAR BLOCK CODES FOR ERROR CORRECTION 
    LELISA, HABTAMU DERA (2017-08-03)
    This dissertation is a report on linear codes. It is shown that linear codes can be applied in forward ermr correction. It is shown that linear codes are a methodfor transmitting extra symbols or bits to a message prior to ...
  • ITERATIVE METHODS FOR SPARSE LINEAR EQUATIONS 
    YIRGU, DEMEKE (2017-08-03)
    n this Dissertation, iterative methods for sparse linear equations are prese nted. The problem considered here is of the form: Ax = b, where A is nxn real non singular matrix and x, b E Iffi.n. To solve this Jacobi, ...
  • IDEALS AND FILTERS IN LATTICES 
    ZELALEM, MESERET (2017-08-03)
    The concepts of ideals and filters is introduced in lattices where filters are the dual of ideals. This class of ideals and filters in lattices includes proper, prime, maximal, and normal ideals and filters. Prime ideals ...