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Browsing PhD by Issue Date

Browsing PhD by Issue Date

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  • USE OF APPROXIMATE SYMMETRY METHODS TO DEFINE ENERGY OF GRAVITATIONAL WAVES 
    HUSSAIN, IBRAR (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2009-01-01)
    In this thesis approximate Lie symmetry methods for differential equations are used to investigate the problem of energy in general relativity and in particular in gravitational waves. For this purpose second-order ...
  • COMPLEX LIE SYMMETRIES FOR DIFFERENTIAL EQUATIONS 
    ALI, SAJID (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2009-01-01)
  • BLACK HOLES IN AN ACCELERATING UNIVERSE 
    JAMIL, MUBASHER (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2010-01-01)
    In this thesis, I have considered the scenario of the accretion of phantom energy onto various types of black holes. The phantom energy is a strange kind of energy existing in the universe that drives the cosmic accelerated ...
  • Some generalizations of the Banach fixed point theorem: Single valued and multi-valued mappings 
    Kiran, Quanita (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2010-01-01)
  • Lie and noether - like operators for a class of systems of ordinary differential equations 
    Muhammad Umar Farooq (SNS, National University of Science and Technology, Islamabad., 2011)
  • Boundary Value Problems for Fractional Differential Equations: Existence Theory and Numerical Solutions 
    ur Rehman, Mujeeb (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2011-01-01)
    Fractional calculus can be considered as supper set of conventional calculus in the sense that it extends the concepts of integer order differentiation and integration to an arbitrary (real or complex) order. This ...
  • Existence and Multiplicity Results for Systems of Singular Boundary Value Problems 
    Ahmad Asif, Naseer (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2011-01-01)
  • Applications of Geometrothermodynamics in Non–Standard Theories of Gravity 
    Taj, Safia (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2011-01-01)
    Black holes are one of the most interesting objects of study in physics. Classically, they trap everything including light. They are characterized by an event horizon which encloses a curvature singularity. A study of black ...
  • Existence of Pairwise Stability in Two-sided Matching Markets 
    Ali, Yasir (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2011-01-01)
    In this thesis, we study two types of two-sided matching markets. The prime objective in these markets is to show that there always exists a pairwise stable matching. In these markets, each participant has a preference ...
  • Mathematical modeling and optimal control of a vector borne disease 
    Ali Lashari, Abid (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2012-01-01)
    This dissertation is concerned with mathematical modeling and optimal control of a vector borne disease. We derive and rigorously analyze mathematical models to better understand the transmission and spread of vector borne ...
  • Some representations of the extended Fermi-Dirac and Bose-Einstein functions with applications 
    Tassaddiq, Asifa (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2012-01-01)
    The familiar Fermi-Dirac (FD) and Bose-Einstein (BE) functions are of importance not only for their role in Quantum Statistics, but also for their several interesting mathematical properties in themselves. Here, in my ...
  • Planes and axes of symmetry in an elastic material 
    Ahmad Khan, Riaz (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2012-01-01)
    Physical properties of elastic and piezoelectric materials are studied by using tensors. It is usual to represent a tensor by a matrix. If a tensor is invariant under rotation about a fixed axis, the matrix representing ...
  • Some Aspects of Spacetime Coordinates 
    Muhammad Jawwad Riaz, Syed (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2012-01-01)
    In this thesis, some aspects of spacetime coordinates are presented. After discussing some non-singular coordinates for the Schwartzschild, the Reissner-Nordstr¨om and the Kerr black hole spacetimes, non-singular ...
  • Solvability of Systems of Differential Equations by Complex Symmetry Analysis 
    Safdar, Muhammad (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2013-01-01)
    Complex symmetry analysis (CSA) establishes a connection between a class of n and 2n, dimensional complex and real systems of ordinary/partial differential equations (ODEs/PDEs), respectively. Similarly, another class of ...
  • Jensen Inequality on Time Scales 
    Bibi, Rabia (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2013-01-01)
  • The Noether Symmetries and Invariants of Some Partial Differential Equations 
    Aslam, Adnan (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2014-01-01)
    A connection is obtained between isometries and Noether symmetries for the area-minimizing Lagrangian. It is shown that the Lie algebra of Noether symmetries for the Lagrangian minimizing an (n−1)-area enclosing a constant ...
  • Fixed point theorems for Banach-G type contractions 
    Samreen, Maria (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan tt, 2014-01-01)
  • Lamb modes having multiple zero-group velocity points 
    Hussain, Takasar (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2014-01-01)
    This dissertation is concerned with Lamb modes having multiple zero-group velocity (ZGV) points. Lamb mode spectrum of an isotropic plate has been considered. As the symmetric Lamb mode S1 always exhibits negative group ...
  • Resolvability in Wheel Related Graphs and Nanostructures 
    Muhammad Afzal Siddiqui, Hafiz (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2015-01-01)
    Resolvability in graphs has appeared in numerous applications of graph theory, e.g. in pattern recognition, image processing, robot navigation in networks, computer sciences, combinatorial optimization, mastermind games, ...
  • Mathematical Analysis of Vector-Host Diseases Models 
    Ozair, Muhammad (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2015-01-01)
    The emphasis of this dissertation lies on the theoretical study of different models of vector borne diseases in order to get better understanding of the transmission and spread of these diseases. The patterns of infection ...

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