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# Browsing Mathematics by Title

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This paper is concerned with harmonic function and partial di erential equation. Harmonic functions are regarded as solutions of Laplace equation which have a number of properties that are essential in solving partial ...
In this paper, heat equation is derived using Fourier’s law of heat conduction and conservation of energy. In addition to this two laws Greens and divergence Theorem are used to change or transform line integral in to ...
In 1936 Hecke proved a correspondence theorem between Dirichlet series with functional equations and automorphic forms with certain growth conditions. In this correspondence, the Dirichlet series has at most simple poles ...
In this thesiswe study two important families of polynomials calledHermite and Laguerre polynomials. These special functions, like so many others functions arise as solutions of ordinary differential equations and have ...
In this project we study various solution techniques of Hermite differential equations, properties of Hermite polynomials and physical application of Hermite equations and Hermite polynomials to quantum harmonic oscillator.
The Hille - Yosida Theorem is one of the most useful tools in the study of existence of a unique solution for evolution problem i.e., 8< Du+au=0 Dt(0)=u0 + Au = 0; on [0;+1); u(0) = u0; where A is a maximal monotone ...
In this work our definition of Semiring is given without zero 0 and unity 1. The focus of the study is to give appropriate evaluation on Semirings which have their own related properties with Distributive lattices. We prove ...
In this project the notion of an ideal of a lattice ordered monoid A is introduced. The notion of congruence relations on a lattice ordered monoid (l-monoid) A is also introduced and its relation with ideals of A is ...
Malaria is a mosquito-vectored infectious disease, which causes serious human health problems in many endemic areas. The dominant malaria vectors in sub-Saharan countries are Anopheles gambiae, Anopheles coluzzii, Anopheles ...
This study aimed to find out the current status of the implementation of CA, the attitude of teachers and students toward CA and the challenge facing the implementation of CA. The study involved 6 general secondary schools ...
The major objectives of this study were to investigate practices of active learning, to assess the implementation of Active learning approach and to identify factors affect the implementation of active the active learning ...
Fixed Charge Network Flow Problem (FCNFP) is a well known NP-hard problem. It has a wide spectrum of applications. Among them are problems in network design, scheduling, production planning, supply chain and transportation ...
The most important in the theory of harmonic functions is that of finding a harmonic function with given boundary values; it is known as the Dirichlet problem. The Dirichlet problem consists in determining all regionsG ...
The purpose of this study is an attempt to explore sufficient condition for the convergence of Riemann integrable functions on any positive linear functional. The Arzela dominated convergence theorem holds for the Riemann ...
The methods that we describe presently, attempt to approximate a constrained optimiza- tion problem with an unconstrained one and then apply standard search techniques such as exterior penalty function method and interior ...
In this project paper we investigated solution for interior Dirichlet problem as main parts. First, we showed uniqueness and continuity of Dirichlet problem in bounded region using maximum and minimum principle. Next, ...
In this work we investigate the invertibility of single layer potential operator in 2D. The single layer potential operator contains non trivial kernel. Consequently, we need to set conditions on the domain or the space ...
The existence and iterative approximation offxed points of single- valued and multi-valued mappings in modular function spaces have been studied by many well known Mathematicians. Due to its appli- cability in real world ...
Ordered trees are trees with a distinguished vertex called the root where the children of each internal vertex are linearly ordered. K-trees generalize ordered trees in the sense that ordered trees are 2-trees in which ...