• Explicit Finite Difference Scheme For 2d Parabolic Partial Differential Equation 

  Negash, Habtemichael (Addis Ababa University, 2020-06-25)

  In this project report, explicit nite di erence scheme for 2D parabolic par- tial di erential equations is considered. This method is used to solve the partial derivatives in the partial di erential equations at each ...
• Penalty and Barriers Methods for Constrained Optimization Problems 

  Tefera, Liya (Addis Ababa University, 2020-05-20)

  Constrained optimization problems are relatively more complex than uncon- strained optimization problems. Some of these complexities are minimized by penalty and barrier methods. Penalty and barrier methods are ...
• Quadratic Programming Problem 

  Damtew, Tariku (Addis Ababa University, 2020-01-20)

  Quadratic programming is one of the type of nonlinear optimization problems in which the objective function is quadratic and all the constraints are linear. There is no single method available for solving a quadratic ...
• Probabilistic Dynamic Programming for Inventory Problems 

  Zeleke, Desta (Addis Ababa University, 2020-09-05)

  Stockout cost is the cost that happen when the demand is greater than the inventory. It may be either back order cost or lost sale cost. Generally inventory problems has many features and cases. I formulate a probabilis- tic ...
• Mixed Integer Programming Problems Using Branch & Bound and Gomory's Methods 

  Getachew, Zinash (Addis Ababa University, 2020-06-25)

  Mixed integer programming is a linear programming with some of the deci- sion variables are integer and some of them are continuous. Thus, unlike to linear programming it some what complex to solve due to the integer ...
• Analysis of Heat Equation in Rn 

  Temesgen, Mehari (Addis Ababa University, 2020-06-16)

  This paper is concerned with Analysis of heat equation in Rn. Analysis of heat equation in Rn regarded as Fourier Transformation which has di erent properties and Inverse of Fourier Transformation that is important to ...
• Game on Zero Sum 

  Haileslassie, Amha (Addis Ababa University, 2020-06-22)

  A game with two rational players in which the gain payo for one is loss for the other is called two person zero-sum game. i.e the sum of payo s for the two players are zero. Two person zero-sum game with nite sets of ...
• On Numerics of One Dimensional Advection Equation by Workye Gelaw 

  Gelaw, Workye (Addis Ababa University, 2020-07-04)

  This project provides a practical overview of numerical solutions to the linear one dimensional Advection equation using finite difference method. It presents a number of schemes for solution of Linear Advection equation, ...
• Extremal Problems Related to the Study of Graph Indices 

  Masre, Mesfin (Addis Ababa University, 2020-07-19)

  Molecular descriptors called topological indices are graph invariants that play a signi_cant role in chemistry, materials science, pharmaceutical sciences and engineering, since they can be correlated with a large number ...
• Optimality Condition for Smooth Constrained Optimization Problems 

  Tafa, Meta (Addis Ababa University, 2020-08-30)

  Mathematical optimization is the process of maximizing or minimizing an objective function by _nding the best available values across a set of inputs under a restriction domain. This project focuses on _nding the optimality ...
• Analysis of Two-Operator Boundary-Domain Integral Equations for Variable-Coefficient Boundary Value Problems in 2D 

  Tesfaye, Solomon (Addis Ababa University, 2020-10-24)

  In this dissertation, the boundary value problems (BVPs) for the second order elliptic partial differential equation with variable coefficient in two-dimensional bounded domain is considered. Using an appropriate parametrix ...
• On the Spectrum of Regular Weighted Sturm-Liouville Problems in the Set of Integers 

  Mesfin Yonas (Addis Ababa University, 2021-01-21)

  In this thesis, certain in_nite subsets of the set of positive integers are inves- tigated as possible spectra of regular weighted Sturm-Liouville eigenvalue problem with separated homogeneous boundary conditions. With ...
• Parking Functions and Complete Bipartite Graphs 

  Suleiman, Medina (Addis Ababa University, 2020-11-26)

  A Parking function is a sequence of positive integers (a1; a2; : : : ; an) such that its non-decreasing rearrangement (b1; b2; : : : ; bn), satis es bi i, for all index i. In this thesis we will see about parking ...
• The FBI Transform and Microlocal Analysis in Ultradifferentiable Classes 

  Yesuf, Jemal (Addis Ababa University, 2020-01-10)

  The FBI transform is a nonlinear Fourier transform that characterizes the local/ microlocal smoothness and analyticity of functions (or distributions) in terms of appropriate decays. This characterization is very useful ...
• 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 ...

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