A standard paradigm in the expansion of knowledge is to describe nearby familiar objects of a new object. Density results in topology may be viewed as tting into this paradigm. Another such paradigm is to give relations ...
In this thesis, a mathematical model for HCV dynamics incorporating various aspects such as virus-to-cell as well as cell-to-cell transmission and non-cytolytic cure rate with the role of B cells in the activation of the ...
Porous structures reduce the waveload and wave run-up on coastal structures. These structures are very flexible, reusanle and can be develop low cost wave attenuation ADN protection systems. By applying boundary conditions, ...
The main objective of this thesis is to investigate the wave forces and hydrodynamic coefficients of two coaxial cylindrical structures in water of finite depth within the framework of linear water wave theory. We consider ...
Definite and definitizable pencils and hyperbolic, quasihyperbolic and definite polynomi- als are Hermitian matrix polynomials with real eigenvalues of definite type that arise in many applications in science and engineering. ...
This thesis studies arithmetic properties of certain partition functions, namely mex-related partition functions, Andrews’ singular overpartitions, t-regular partitions and 3-regular color partitions. Firstly, we study the ...
This thesis investigates several models for hepatitis B virus (HBV) infection including the incorporation of the dynamics of intracellular HBV DNA-containing capsids. Firstly, we analyze a model for infected hepatocytes, ...
This thesis examines the efficient and important role of additional food in a predator-prey system. In this work, we derive and study a model for two species. The prey population is assumed to be growing logistically in ...
Let f : C ---- C = C U {00} be a non-constant transcendendental entrie or meromorphic function. The function f Xn ,the n-times composition of f is called the n-th it-crate of f . The Fatou set of the function f, ....
In the Ph.D thesis, we investigated the dynamics of some one-parameter and two-parameter family of transcendental functions.In Chapter 2, for b 1, the dynamics of function in the two-parameter family , { ( ) z z for : , ...
We develop a new framework to obtain computable formulas for s tructured eigenvalue backward errors of matrix polynomials with various structures under some prespec undertake a detailed analysis of structured when the ...
This thesis is about the interplay between permutation groups and some relational structures. Special emphasis is on a class of permutation groups called Jordan groups i which, in some non-degenerated way, the pointwise ...
The primary aim of this thesis is to develop a framework for direct methods for solutions of rational eigenvalue problems. To achieve this goal, we propose to reformulate the problem of solving a rational eigenvalue problem ...
The main objective of this thesis is to study the convergence of finite element solutions to the exact solutions of elliptic and parabolic interface problems by means of classical finite element method. Due to low global ...
The aim of this thesis is to study a priori and a posteriori error analysis of nite element methods for elliptic and parabolic optimal control problems with measure data in a bounded convex domain in Rd(d = 2 or 3). The ...
A fractal set is a union of many smaller copy of itself and it has a highly irregular structure. Using Hutchinson's operator, Barnsley [6], introduced Fractal Interpolation Function (FIF) via certain Iterated Function ...
In this thesis, an attempt is made to undertake a systematic analysis of the sensitivity of eigen systems in the natural geometric framework of the spectral portraits of the matrices. The e-spectra and the spectral portraits ...
The thesis is aimed to modify an already existing higher order compact (HOC) finite difference scheme to enhance its applicability and robustness. To examine the robustness of the proposed scheme, it is applied to lid-driven ...
In this dissertation, we have proposed a new class of higher order compact (HOC) finite difference schemes for solving the two-dimensional (2D) incompressible viscous flows through geometries beyond rectangular. The proposed ...