• Spherically Symmetric Static Solutions of the Einstein Field Equations using Segre Classification 

  Iram, Aneela (2025-01-30)

  Obtaining solutions to the Einstein field equations remains an interesting research area within general relativity. In four dimensions, these field equations are a system of ten non-linear partial differential equations. ...
• Computational Analysis of Flow and Thermal Characteristics Across Elongating Cylinders Immersed in Newtonian and Non-Newtonian Fluids 

  CHAM, ALHAGIE (School of Natural Sciences National University of Sciences and Technology, 2025-01-13)

  Boundary layer flows occurring along flat or curved surfaces have been extensively studied in the past, since these are encountered in variety of technical applications. Moreover, fluids treated in many of the engineering ...
• Mathematical Modeling and Exact Solutions for Non-Newtonian Nano uids and Financial Mathematics 

  Javaid, Saba (School of Natural Sciences National University of Sciences and Technology, 2024-09-23)

  The main focus of the thesis is to provide exact solutions to the mathematical models that arise in the realm of non-Newtonian nano uid ow over a at surface and option pricing in nancial mathematics. Exact solutions ...
• Scattering of GravitationalWaves and their Energy 

  Abbasi, Kamran Qadir (School of Natural Sciencesm, (SNS) NUST, 2024)

  This thesis primarily focuses on the study of plane gravitational waves and their collisions, which are exact solutions of the vacuum Einstein field equations. Independently, both Khan and Penrose, as well as Szekeres, ...
• Spectral Methods for Fractional Differential Equations 

  Sadiq, Shazia (School of Natural Sciences National University of Sciences and Technology, 2024-08-19)

  The mathematical analysis and solution of fractional differential equations are like a bridge connecting physical assumptions and concepts with interpretations, effects and conclusions. Numerical methods are helpful ...
• Generalization of Numerical Methods for Fractional Differential Equations 

  Idrees, Shafaq (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2024-06-25)

  In the last decades, fractional calculus has gained much importance over ordinary calculus due to its diverse applications in many areas of medical science, engineering, and physics. Therefore, there exists a strong ...
• Some Algebraic Invariants of Squarefree Monomial Ideals 

  Shaukat, Bakhtawar (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2024-06-27)

  Hilbert gave the idea of associating free resolution with finitely generated module to describe the structure of a module. Since then, there has been a lot of progress on the structure and properties of finite free ...
• Second-Order Approximate Lie Symmetry Methods to Define Energy Content of Some Spacetimes 

  Liaqat, Asia (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2024-05-21)

  Obtaining a well-defined formula for energy-momentum in General Relativity has been a challenge since Einstein’s time. Unfortunately, General Relativity does not provide a generally accepted definition of energy-momentum. ...
• Cosmic Censorship and Self Force Effects Around the Black Holes 

  Ahmed, Ayyesha Kanwal (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2024-06-03)

  Gravitational singularities exists when the gravitational forces becomes very strong in some region, leading to the break down of laws of physics. Penrose formulated a conjecture which relates the information between ...
• A Qualitative Study of Hermite--Hadamard Inequality 

  Raees, Muhammad (School of Natural Sciences (SNS), NUST, 2022)

  This investigation centers to bring into the spotlight some new and generalized Hermite– Hadamard inequalities in the casings of old classical calculus, fractional calculus, quantum calculus and furthermore a few ramifications ...
• The Approximate Mei Symmetries and their Applications 

  Kausar, Umara (National University of Sciences and Technology H-12, Islamabad, Pakistan, 2024-02-24)

  The Mei symmetries, a class of symmetries, correspond to conserved quantities just like Noether symmetries. However, the two sets of symmetries result in different conserved quantities. The formulation of first-order ...
• Peristaltic flow analysis in different geometrical aspects under the effect of electro-osmotic forces 

  Akram, Javaria (School of Natural Sciences (SNS), NUST, 2023)

  Biofluid mechanics is the branch of biomechanics that mainly focuses on the dynamics and kinematics of various physiological fluids. One of the prominent mechanisms which are responsible for bio-liquid transport is ...
• Separation Axioms and Connectedness in Bounded Uniform Filter Spaces 

  Khadim, Sana (School of Natural Sciences (SNS), NUST, 2023)

  The well-known concepts such as uniform convergence, Cauchy convergence, Cartesian closed ness, quotient reflectiveness, quotients are not productive, boundedness, etc., are missing from Top, the category of topological ...
• Some Fixed Point Results on Generalized Metric Spaces 

  Alamgir, Nayab (School of Natural Sciences(SNS), NUST, 2022)

  In this thesis, someo xedopoint results have beenoproved forosingle andomulti valued mappings with the condition ofoextendedob-metricospace andocontrolledometric space, which generalizes Banach xed point theorem, Nadler's ...
• Applications of Discrete Symmetry Groups of Differential Equations 

  Bibi, Khudija (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2022-05-23)

  This thesis is based on applications of the discrete point symmetry transformations of ordinary and partial di erential equations. First we provide a complete list of discrete symmetry transformations of third order ...
• Geodesics and Shadows of Rotating Black Holes 

  Haroon, Sumarna (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2022-02-03)

  We first investigate the consequences of running gravitational coupling on certain properties of rotating black hole. We are motivated by the functional form of gravitational coupling previously investigated in the context ...
• Distinguishing Kerr-Like Black Holes From Naked Singularities Using Precession Frequency of Gyroscope 

  Rizwan, Muhammad (2021-12-07)

  Recent astronomical observations predict the accelerating expansion of the universe, which could be due to a cosmological constant or quintessence field. Some other observations suggest the existence of dark matter in ...
• Wave Propagation in Initially-stressed Compressible Hyperelastic Materials 

  Ejaz, Kanwal (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2021-10-12)

  Study of elastic waves in solids has been an interesting area of research due to its enormous applications in fields as diverse as bio-mathematics, materials, earth sciences, to name a few. In linear elasticity, materials ...
• Existence of Weak Solutions to Fractional Differential Equations 

  Khaliq, Adnan (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2021-09-06)

  Fractional calculus generalizes the integer order integration and differentiation concepts to an arbitrary (real or complex) order. The main reason of this treatise is to generalize some classes of differential equations ...
• Numerical Simulation of Steady/Unsteady MHD Flow over a Non-linear Stretching/Shrinking Sheet with Variable Liquid Characteristics 

  Irfan, Muhammad (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2021-09-15)

  This dissertation is divided into two parts. The first part describes the work on magnetohydrodynamics boundary layer flow past a non-linear stretching surface in the presence of variable fluid characteristics. The second ...

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