This project report is to explore the behavior and stability of autonomous dynamical systems,
focusing on their theoretical and practical applications. The primary objective of this study is
to analyze the stability ...
The purpose of this study was to identify and analyze the problems faced by teachers in
teaching mathematics at Adet town administration secondary schools West Gojjam, Amhara
Region, Ethiopia and also to find causes ...
The main purpose of this project is to show the application of fractional calculus on solving
electrical circuit problems. The basic concepts of fractional calculus on solving electrical
RLC circuit problems are justified. ...
In this project, we introduced the concept of normal ideals in pseudo-complemented almost
distributive lattices and studied its properties. We have characterized normal ideals and
established equivalent conditions for ...
The shooting method is a widely used numerical technique for solving boundary value problems
(BVPs). The basic idea involves transforming the BVP into an equivalent initial value problem
(IVP), which is easier to solve ...
In this project report, singular initial value problems, linear and non-linear, homogeneous and
non-homogeneous of Lane-Emden-type equations are solved by using Taylor series, Residualpower
series,
and
Adomain
decom ...
This paper investigates the dynamical properties of mathematical models for COVID-19
transmission, with a focus on understanding the behavior and stability of various model
configurations. We analyze a suite of compartmental ...
In the first unit of this paper we deal with the definitions, lemmas and theorems which are used
without proof in the second chapter. In the second chapter we discuss on definitions and
theorems on ideals and congruence ...
In this project, we show how to solve linear and nonlinear ordinary differential equations by
using Adomian decomposition method.
Linear and nonlinear differential equations arise in all fields of applied mathematics, ...
When a pandemic occurs, it can cost fatal damages to human life. Therefore, it is important to
understand the dynamics of a global pandemic in order to find a way of prevention. This project
contains an empirical study ...
The concept of partial order set, lattice, distributive lattice, almost distributive lattice,
implicative algebra, and lattice implicative algebra are introduced by different authors.
n this project work our aim is to ...
In this project, the generalization of the Sumudu iterative method for the n
order nonlinear
delay differential equations is given. The method will play an important role to find approximate
analytical solutions of ...
In this project, we investigate an epidemic model for the dynamics of cholera infections. The
model consists of four compartments; the susceptible population( ), infectious population ( ), the
recovered population( ) and ...
In this project, Almost Distributive Fuzzy Lattice (ADFL) is characterized by ADL's
in terms of level se𝑡 𝐴
α
of a fuzzy Relation A. The Concept of ideals, filters, the
smallest ideals and the smallest filters ...
The concept of a closure operator in an ADL R was introduced. If
is the set of all
invariant elements of then the concepts of
deal,
prime ideal are introduced.
The interrelations between
...
The concepts of δ-Ideals and principal δ-Ideals are introduced in an MS-algebra and many
properties of these ideals are studied by different authors. In this project, we understand the
equational class of algebra which ...
In this project report, numerical integration method with exponential integrating
factor is presented to solve singularly perturbed delay differential equations with
negative shift, whose solution has boundary layer of ...
In this project, we evaluate the impact of an effective preventive vaccine on the control of some
infectious diseases by using the deterministic mathematical model. The model is based on the fact that
the immunity acquired ...
This project explores the newly defined equational class of algebra known as MS-almost
distributive lattice (MS-ADL), which serves as a unifying abstraction of De Morgan ADLs
and Stone ADLs. We demonstrate that MS-ADLs ...