# Mathematics

## Recent Submissions

• (2021-07)
Hilbert spaces are the most important tools in the theories of partial diﬀerential equations. The purpose of this paper is how to use the Hilbert space method to solve partial diﬀerential equation. A diﬀerential equation ...
• (2021-07)
This project introduces the concept of differential equations with delay, the so called delay differential equations (DDEs). These differential equations depend on past history (at previous times),and are therefore used ...
• (2021-07-23)
This project is to determine local and global stability of an equilibrium point of system of DE to analyze the behavior of their solution and also to show how to determine their stability. Stability properties characterize ...
• (2021-03)
• (2021-03)
• (2020-06)
TB is an air born communicable infectious disease caused by MBT. In Ethiopia TB is the major cause of morbidity and mortality. In this thesis, we have considered a nonlinear dynamical system. We divide the total population ...
• (2020-12-17)
• (2020-12)
• (2020-11)
This dissertation investigates the circumstances that can have impact on spreading and controlling tuberculosis disease, first, we studied on the the dynamics of the tuberculosis disease (4.1)-(4.8) with interventions ...
• (2017-05-25)
In this paper, Adomian decomposition method (ADM) and some of its modiﬁcation will be introduced to obtain the solution convergent towards an accurate solution of nonlinear Partial DifferentialEquations. Theseefﬁcientmod ...
• (2017-05-25)
In this Thesis, we simply analyze the methods to solve heat equation by the Fourier transform on an interval R and separation of variables is described. Those methods are simple to calculate, understand and eﬃcient technique ...
• (2017-05)
In this paper, we present approximate and exact solution of initial value problems of ordinary diﬀerential equations (Odes) by using Diﬀerential Transform method (DTM). The concept of diﬀerential transform and some properties ...
• (2017-05)
This study introduces some application of ﬁrst order diﬀerential equation. In this paper, I discussed few methods to solve ﬁrst order diﬀerential equations. Then, we were construct and solve the mathematical models for ...
• (2017-05-28)
In this study, we will discuss the Sumudu transform method [STM] to solve the ordinary diﬀerential equation of constant coeﬃcient and its application in diﬀerent areas such as in physics followed by the application to ...