In this poject, we understand the new equational class of algebra which we call MS-almost
distributive lattice (MS-ADL) as a common abstraction of De Morgan ADLs and Stone
ADLs. We observed that the class of MS-ADLs ...
The aim of this project is to study Duhamel's principle for solving one dimensional evolution
equations (heat and wave). First, find the formula in which we able to obtain its solution we
derived by using the D' ...
In this paper, we introduce the concept of transitive and absorbent filters of implicative almost
distributive lattices and studied their properties. A necessary and sufficient condition is derived
for every filter to ...
In this paper we introduce normal filters and normlets in an almost
distributive lattice with dense elements and reinforce them in both
algebraical and topological aspects.
In this project we understand the concept of filters in an MS-Algebra and
characterize in terms of equivalent conditions. The concept of filters is studied and
the set of equivalent conditions under which every e-fuzzy ...
In this project, we discussed stability, where the stability of the state trajectory or equilibrium
state is examined, stability is applied to obtain the behavior of systems of first-order ordinary
differential equation ...
In this paper, we are interested in solving analytic solutions for nonlinear diffusion like equations
by using differential transform method. The Differential transform method produces an
approximate solution for the ...
In this project, we aim to study the method of layer potential and to apply it to solve for a
boundary value problem. In particular, we are interested to apply the method to solve Laplace
equation with appropriate ...
In this project, we are interested in solving wave like equations and systems by using
Hyperbolic Function Method. The method is used to construct periodic and solitary wave
solutions for some nonlinear wave type ...
Some operation on lattice implication algebras was introduced by Roh et al. [5]. In this project
work, we introduce the concept of homomorphisms in lattice implication algebras, a ⊗-closed
set and a ⊗-homomorphism in ...
The fundamental concept of fuzzy sets was initiated by L. Zadeh [12] in 1965. In this project
work, we introduce the concept of fuzzy PMS- ideals in PMS- algebras and we discussed about
the definitions of PMS- algebra, ...
The concept of annihilator ideal is introduced in an almost distributive lattice with zero.
It is observed that the set of all annihilator ideals of R forms a complete Boolean algebra,
the sufficient condition for R ...
Soft set theory was introduced by Molodtsov in 1999 as a general mathematical tool for dealing with
problems that contain uncertainty. In this project work, we discussed about the definitions of a soft
lattice, soft ...
In this dissertation, some modified stationary and non-stationary iterative methods for
solving system of linear equations were studied. There are different techniques to modify
stationary and non-stationary iterative ...
The problem of secondary school students‘ lacking understanding of mathematics remains a
major concern to teachers and government authorities in Ethiopia. The problem has been largely
attributed to using ineffective ...
In this project we successfully study iterative algorithm, which is based on the
modified Mann iterative method and the gradient-projection algorithm for solving
a convex minimization problems and fixed point problems ...
In this project, we are successfully discussed to contour integral and its applications.Contour integration is closely related to the calculus of residues. One of the advantage ofcontour integrals is the evaluation of ...
In this project numerical procedures dependent on a relatively new B-spline called the cubic
Trigonometric B-spline (CTBS) and the finite difference methods (FDM) for Second order
non-classical diffusion problems are ...
In this project, we successfully study viscosity method for solving split common fixed point
problem for the class of demicontractive mapping. We also study a problem formulation for
viscosity method to solve split ...
In this project, Green’s function method is applied to obtain the analytic solution of non-homogenous
heat equation defined on a given domain with appropriate initial and/or boundary conditions. With this
purpose, ...