AAU Institutional Repository

# Mathematics

## Recent Submissions

The solution of an n-level linear problem, when the levels make decisions se- quentially and independently, is not necessarily pareto-optimal, i.e.there exist feasible points which o®er increased payo®s to some levels ...
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 ecology, the food chain pyramid suggests that there must be less consumers than their food source. In our case the balance in the population of plants and herbivores should be maintained in the ecosystem. Otherwise, ...
This project provides a practical overview of numerical solutions to the wave equation of nite string using the nite di erence method. The second order central di erences for time and space is applied to a problems ...
This thesis concentrates on numerical methods for solving hyperbolic un- coupled PDEs systems with two independent variables (space and time)and whose model problem is vt +Avx = 0 for which A is assumed to be a diagonalized ...
This thesis concentrates on numerical methods for solving hyperbolic un- coupled PDEs systems with two independent variables (space and time)and whose model problem is vt +Avx = 0 for which A is assumed to be a diagonalized ...
This work is concerned with maximization and minimization problems of functionals associated with solutions of elliptic di erential equations depending on functions which belong to classes of rearrangements. We prove ...
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 ...
This project is concerned with the Fourier transform methods for second order partial di erential equations. In particular, solving wave, Laplace and heat equations using Fourier transform. We also introduce the theory ...
This thesis is concerned with some Fundamental solution and Green's function for a System of second order and more, for Linear Elliptic partial di erential equations in two or more independent variables. Fundamental ...
Using an appropriate fundamental solution, Dirichlet boundary value problem is reduced to some direct Boundary Integral Equations (BIEs). Although the theory of BIEs in 3D is well developed, the BIEs in 2D need a special ...
In this paper we study Bessel differential equation of the form ���������� + ������ + (���� − ����)�� = 0, and the modified Bessel equation of the form ���������� + ������ − (���� + ����)�� = 0 Along with the corresponding ...
On this project we will see Fenchel Duality.If the function is convex and di er- entiable every where,then we can nd the minimizer by setting the derivative to zero. If the function is convex but not di erentiable, then ...
The impact of climate change on human health, particularly through the potential increase in vector- and water-borne diseases, has received increasing attention in recent years. Environmental variables are known to a_ect ...
This thesis is concerned with Semilinear evolution equations on a bounded Ω n<Rn with boundary conditions. Existence and uniqueness result of classical, mild and strong solutions of the problem is established using ...
In this thesis we study various solution techniques of the Legendre differential equations, properties of the Legendre polynomials and the physical applications of Legendre equations and Legendre polynomials to heat ...
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 this thesis, we study _xed point approximation methods for some nonlinear mappings in Banach and Modular metric spaces with graph structure. We review the contemporary literature in these directions. Then we establish ...
Background: Hospitals information system is a system for collecting, processing, analyzing, disseminating and using information about a patient health service and community health desires of the population. Hospital ...