Mathematics: Recent submissions

  • Prediction of Extreme Precipitation in the Upper Indus Basin Using Time Series Models 
    Khan, Aleesha (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2024-08-09)
    The Indus River, a transboundary and one of the biggest rivers in the world originates in west ern Tibet, flows northwest through Ladakh, Gilgit-Baltistan, and then south and southeast across Pakistan and empties into ...
  • Adaptive Mesh Refinement for Simulating Tsunami Propagation with Coriolis Effects in Shallow Water Equations 
    Irum, Hina (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2024-08-22)
    This thesis examines the influence of the Coriolis force on the accuracy and efficiency of shallow water equations (SWEs) simulations utilizing adaptive mesh refinement (AMR). Utilizing the open-source GeoClaw software, ...
  • Weighted Fractional Calculus with respect to Functions 
    Zahra, Tazeen (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2024-08-21)
    This thesis explores the domain of fractional calculus, with a particular focus on generalized fractional calculus and weighted fractional calculus with respect to functions. The core research focuses on further exploring ...
  • Analysis of Early Age Fertility in Women using Machine Learning Survival Estimation Approach 
    Maham Safdar (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2024-08-15)
    Early age fertility is a significant public health concern in Pakistan, with profound implications for women’s health, socio-economic development, and population dynam ics. This study explores the socio-demographic ...
  • Algebraic Invariants of Edge Ideals of Some Bristled Circulant Graphs 
    Rehman, Ibad Ur (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2024-07-23)
    The purpose of this dissertation is to analyze various algebraic invariants, including Stanley depth, depth, regularity, and the projective dimension of the quotient rings obtained from the bristled of some four and ...
  • Algebraic Invariants of the Edge Ideals of Bristled Cubic Circulant Graphs 
    Ullah Khan Afridi, Mujahid (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2024-07-23)
    This dissertation aims to analyze various algebraic invariants, including Stanley depth, depth, regularity, and the projective dimension of the quotient rings of the edge ideals corresponding to q-fold bristled cubic ...
  • Machine Learning for Predicting the Antidiabetic Properties of Novel Schiff Bases through FTIR 
    Batool, Fatima (National University of Science and Technology NUST H-12 Islamabad, 2024-08-02)
    This research tackles the issue of selecting variables and making predictions in high-dimensional datasets by employing a range of regression techniques, such as Bayesian regression, Lasso, Elastic Net, Orthogonal Matching ...
  • SVM-Based Classification of Microarrays Gene Expression Data 
    Akhtar, Kashmala (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2024-07-31)
    Classifying microarray gene expression data is crucial due to its high-dimensional na ture and its significant impact on disease diagnosis and personalized treatment strate gies. Timely and accurate classification of ...
  • Advancing Colorectal Cancer Tissue Classification by Integrating Deep Learning Algorithms with a Novel Hybrid Filter Approach 
    Abdullah, Abdullah (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2024-08-02)
    Assessing colorectal cancer (CRC) histological images is crucial due to their intricate nature. Timely CRC detection greatly influences treatment outcomes and patient sur vival rates. Traditionally, pathologists diagnose ...
  • Convolution of Convex Functions 
    Abbas, Zaheer (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2024-06-27)
    In this thesis, we investigate convex sets, convex functions, the continuity and differentiability of convex functions, and their characteristics. After studying these results, we review the research paper of the title “On ...
  • 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 ...
  • Optimal System and Invariant Solutions of the Hyperbolic Heat Equations 
    Javed, Khadija (National University of Sciences and Technology H-12, Islamabad, Pakistan, 2024-03-12)
    In this research study, we use the Lie symmetry analysis and the optimal systems of subalgebras that underlie it to study the invariant solutions to the nonlinear hyperbolic heat equation. Optimal systems of two specific ...
  • Statistical Analysis of Effectiveness of Pakistan Anti-Tobacco Legislations 
    Shafqat, Muhammad (National University of Sciences and Technology H-12, Islamabad, Pakistan, 2024-05-13)
    Pakistan has around 24-million tobacco users and annually more than one-lac people died due to tobacco related diseases. After adoption of PSEP&PNSH-ordinance in 2002, the government continuously tried to make strategies ...
  • Approximate Closed form Solution of MHD flow over a Rotating Disk 
    Zulfiqar, Zeshan (School of Natural Sciences (SNS), NUST, 2018)
  • Schur Harmonic Convexity of Hermite Hadamard Inequality Using Coordinated Harmonically Convex Function in Plane 
    Hafiz, Abdul Hafeez Khan (National University of Sciences and Technology H-12, Islamabad, Pakistan, 2023-05-23)
    The analysis puts an excessive amount of weight on inequalities involving the integrals and derivatives of functions. For convex functions defined on an interval of real numbers, the Hermite-Hadamard double inequality is ...
  • Immersed Boundary Method for Compressible Navier-Stokes Equations 
    Sadaqt, Hussain (National University of Sciences and Technology H-12, Islamabad, Pakistan, 2024-04-15)
    For viscous compressible flow, a Cartesian grid approach has been devised to solve the Navier-Stokes equations. Both steady and unsteady fluxes have been taken into account. We treat the nearest grid points as mirror ...
  • 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 ...

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