Mathematics: Recent submissions

  • Solutions of the Momentum Equation for Laminar Flow through Concentric Ducts using Symmetry Methods 
    Noor, Nayyab (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2021-05-26)
    Partial or ordinary di erential equations are used to solve problems in a variety of elds. The goal of achieving exact solutions of di erential equations is therefore of great importance and continues to attract great ...
  • Existence of Solutions for Fractional Langevin Equation 
    Mumraiz, Sumiha (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2021-04-12)
    In this research, we investigated nonlinear fractional Langevin equation involving two distinct generalized fractional derivatives. Existence of unique and at least one solution is demonstrated by making use of Krasnoselskii’s ...
  • Runge Phenomenon 
    Saeed, Rabia (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2020-09-03)
    In this thesis we have studied phenomenon associated with interpolation of equally spaced data known as Runge phenomenon. This phenomenon was first observed by Carl David Tolme Runge which deals with the oscillatory ...
  • Plane Waves in Rotating Anisotropic Elastic Solids with Voids 
    Hameed, Humaira (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2021-03-17)
    In this thesis, the propagation of plane waves in rotating elastic solids with and without voids are discussed. In each case, various graphs are plotted for illustration purposes and solution analysis. The case of ...
  • Extremal Graphs w.r.t Non-self-centrality Number 
    Mudusar, Laiba (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2020-03-01)
    A topological index is a graph invariant that characterizes a molecular compound's topology. It is a type of molecular descriptor determined from a graph of a molecular compound. Recently, because of their growing range ...
  • Flow Dynamical Aspects of Black Holes in Rainbow Gravity 
    Ejaz Malik, Muhammad Asif (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2020-09-04)
    In this dissertation the accretion of the Schwarzschild black hole immersed in an electromagnetic eld is discussed in the context of rainbow gravity. Discussion of the Hamilton Jacobi equations for astrophysical uid ...
  • The Qualitative Theory of Fractional Difference Equations 
    Haider, Syed Sabyel (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2021-05-27)
    Focus of this study is to cover up some gaps and further build up the theory of discrete fractional calculus. This dissertation starts with brief introduction and de nitions to discrete fractional calculus. Two new de ...
  • Solution of Volterra's Population Model by using Spectral Method 
    Tahir, Linta (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2020-12-16)
    In this thesis, we have used spectral method for solving the Volterra's di erential equation. We study the basic theory of this method. The spectral method for the solution of non-linear Volterra integro-di erential ...
  • Performance Analysis Of Differential Transformation Method 
    Bashir, Qudsia (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2020-09-02)
    The aim of this study is to carry out detailed performance analysis of differential transformation method(DTM) for solving linear and non-linear differential equations. DTM is applied to obtain the analytical solution ...
  • Solution of Non-linear Ordinary Differential Equation Involving Arbitrary Constants 
    Qayyum, Sana (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2021-08-16)
    In this thesis, we present solution of non-linear ordinary differential equation involving two arbitrary constants. This equation appeared in finding solutions of the Einstein field equations. Depending on different ...
  • Some Extremal Trees and Unicyclic Graphs w.r.t. Non-self-centrality Number 
    Karim, Faryal (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2020-08-16)
    The concept of centrality of a graph is introduced by Camille Jorden in 19th century for the analysis of different network models which is widely used in facility location problems. To measure the non-self-centrality ...
  • The Notion of Closedness in Topological Category of Quantale Valued Closure Spaces 
    Khyzer, Sana (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2021-07-28)
    In this thesis, we consider the topological category of QV-Closure space and explicitly characterize local T0 and local T1 objects in this category. Furthermore, we examine the notion of closedness in L-Cls. We consider ...
  • The Mei Symmetries Corresponding to Lagrangian of the Schwarzschild Metric 
    Iftikhar, Kinza (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2021-08-09)
  • Energy of graphs and signed digraphs 
    Hafeez, Sumaira (School of Natural Sciences Department of Mathematics NUST H-12 Islamabad, 2020-10-02)
    The energy of a graph is given by Pn q=1 j qj, where q0 s are the adjacency eigenvalues of the graph. A graph has real eigenvalues because its adjacency matrix is always symmetric. The energy of a sidigraph is defined ...
  • A Study of Generalized Vortex Flow and Heat Transfer Involving Nanofluids 
    Tahira, Sahreen (School of Natural Sciences Department of Mathematics NUST H-12 Islamabad, 2020-01-11)
    In this thesis, a nanofluid boundary layer that develops above a plane permeable surface is analysed numerically. The focus of this thesis is twofold. Firstly, to investigate the generalized vortex flow in a 𝐶𝑢 − ...
  • Numerical Solution of Burgers' Equation Using Discrete Symmetries 
    Ur Rehman, Haseeb (School of Natural Sciences Department of Mathematics NUST H-12 Islamabad, 2020-12-08)
    In this thesis, we meticulously construct an invariant Modi ed-Crank-Nicolson method that fast convergent to the exact solution of a one-dimensional non-linear heat equation. This innovative construction can be faithfully ...
  • On Fractional Duhamel's Principle 
    Ahmad Khan, Mudassar (School of Natural Sciences Department of Mathematics NUST H-12 Islamabad, 2020-12-08)
    In this academic research we generalized the Duhamel's principle and extended this principle for the higher order integer and fractional psi di erential equation subject to suitable initial conditions. Furthermore, as ...
  • A study of F-coindex for family of unicyclic graphs and dendrimers 
    Bibi, Zainab (School of Natural Sciences Department of Mathematics NUST H-12 Islamabad, 2020-08-31)
    Topological indices, sometimes also seen as graph-theoretic lters, maintain the order of molecular elements and provide mathematical language to predict features such as boiling points, radius of gyrations, viscosity, ...
  • Properties Of Functions Related To Fejer Type Inequality 
    Ismail, Hifsa (School of Natural Sciences Department of Mathematics NUST H-12 Islamabad, 2020-09-28)
    The basic aim of this thesis is to consider the Fejer's inequality which is closely related to Hadamard's inequality, when we consider the weight function with it. We try to collect many known theorems from the literature ...
  • An Approximate Solution of Blasius Problem Using Spectral Method 
    Shoukat, Zunera (School of Natural Sciences Department of Mathematics NUST H-12 Islamabad, 2020-11-19)
    Nearly all of the real world problems are non-linear in nature and they are coded in the language of non-linear differential equations. To find the exact solutions of these problems are usually impossible. So, we direct ...

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