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Mathematics: Recent submissions

Now showing items 21-40 of 400

Exact Solutions of the Einstein-Maxwell Field Equations in Paraboloidal Geometry Using Chaplygin Equation of State

Hafeez, Aqsa (National University of Science and Technology NUST H-12 Islamabad, 2024-09-05)

This thesis investigates a charged anisotropic stellar model in paraboloidal geometry, using the Chaplygin equation of state. We develop a new solution to Einstein’s field equations that investigates the interaction of ...
Heat and Fluid Flow in a Channel by Using the Finite Element Approach

Umm E Hani, Hafza (National University of Science and Technology NUST H-12 Islamabad, 2024-09-05)

This thesis focuses on mixed convection fluid flow and heat transfer in a rectangular channel equipped with inlet and outlet ports. In the first analyses, the fluid flow and heat transfer is investigated in a channel ...
Heat and Fluid Flow in a Channel by Using the Finite Element Approach

Umm E Hani, Hafiza (National University of Science and Technology NUST H-12 Islamabad, 2024-09-05)

This thesis focuses on mixed convection fluid flow and heat transfer in a rectangular channel equipped with inlet and outlet ports. In the first analyses, the fluid flow and heat transfer is investigated in a channel ...
ENTROPY PRODUCTION IN VISCOELASTIC FLUID FLOWS IN A ROTATING FRAME WITH HEAT DISSIPATION USING OPTIMAL HOMOTOPY ANALYSIS METHOD (OHAM)

Fakhar, Sana (School of Natural Sciences National University of Sciences and Technology, 2024-09-05)

The exploration of rotational dynamics within fluid motion holds profound importance across diverse fields such as industrial chemical processes, advancements in food processing technologies, the optimization of ...
Wavelet Method for the Solution of Caputo and Caputo-Hadamard Fractional Differential Equations

Hussain, Adab (School of Natural Sciences National University of Sciences and Technology, 2024-09-02)

In this thesis, main objective to develop reliable and effective numerical methods for solving fractional differential equations. In this work wavelets play a key role in developing numerical methods for solving linear ...
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 ...
Numerical methods based on resolvent kernal and Legendre functions for fractional differential equations.

Altaf, Alina (2024-09-13)

In this thesis, we present the resolvent kernal method and the Legendre approximation method to obtain the numerical solution of fractional differential equations. For this purpose, we convert the fractional differential ...
Hybrid Solutions and Qualitative Analysis of (2+1)-Dimensional Nonlinear Wave Equations

Asadullah, Mohammad (National University of Science and Technology NUST H-12 Islamabad, 2024-09-04)

This thesis investigates the (2+1)-dimensional integrable Kadomtsev-Petviashvili equation, employing Hirota’s bilinear form to explore various exact solutions, including breather waves, periodic waves, and two-wave ...
Soliton solutions for the two-mode Gardner equation through the Jacobi elliptic function and Kudryashov method

Mukhtar, Mariyam (National University of Science and Technology NUST H-12 Islamabad, 2024-09-10)

Soliton solutions for the two-mode Gardner equation through the Jacobi elliptic function and Kudryashov method
Exact and Interaction solutions by using Hirota Bilinear forms and Qualitative analysis of an NLEE

Saleem, Rutaba (National University of Science and Technology NUST H-12 Islamabad, 2024-09-04)

This thesis explores two models of the integrable nonlinear partial differential equations namely, the newly proposed (3+1)-dimensional generalized Korteweg-de Vries (gKdV) equation and the (2+1)-dimensional extended ...
Modified Polytropic Models for Charged Anisotropic Compact Objects

Saeed, Hameeza (School of Natural Sciences National University of Sciences and Technology, 2024-09-05)

In this thesis, we present new solutions for charged anisotropic matter distributions by modifying the generalized polytropic equation of state. Using the Einstein-Maxwell equations in static and spherically symmetric ...
Numerical Solutions of Variable-Order Fractional Differential Equations

Tanveer, Nida (National University of Science and Technology NUST H-12 Islamabad, 2024-08-28)

This dissertation aims to develop numerical schemes to approximate solutions of variableorder fractional differential equations. The absence of fundamental properties in variableorder fractional operators, such as the ...
General Sum-Connectivity Index and General Sombor Index of Chemical Trees with Given Order and Branching Vertices

Munir, Haleema (School of Natural Sciences National University of Sciences and Technology, 2024-08-30)

This thesis investigates the properties of graph indices with a focus on the extreme values of chemical trees with given order and branching vertices for the maximum general sum-connectivity index and maximum general ...
Bödewadt and von Kármán slip ows involving non-Newtonian nano uids: Validation using machine learning

Ibrahim, Tayyaba (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2024-08-29)

Bödewadt and von Kármán ows are of paramount importance in uid dynamics of rotating sys tems such as turbomachinery and geophysical ows. Moreover, nano uid's enhanced heat transfer properties can improve cooling e ciency ...
Lid-driven flow and heat transfer in a closed cavity via COMSOL

Khalid, Muzamil (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2024-08-29)

This thesis focuses on two fundamental aspects of fluid dynamics and heat transport inside enclosed spaces. Using computer simulations via Comsol with the Finite Element Method (FEM), the research analyzes how fluids ...
Study of Spin Precession Frequencies and Quasi-Periodic Oscillations around Rotating Spacetimes

Zahra, Tehreem (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2024-08-29)

Singularity theorems suggest that under certain conditions, gravitational collapse inevitably leads to a singularity formation. Weak cosmic censorship conjecture proposed by R. Penrose states that singularity is always ...
Estimation of Early-Age Mortality in Different Districts of Pakistan

Zaman, Shelina (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2024-08-26)

Estimating early-age mortality at more localized administrative levels offers public health researchers a deeper insight into infant well-being and aids in developing health policies. To achieve this, design-based ...
Machine Learning Tools for Overhead Imagery Analysis

Danial Khan, Hafiz Muhammad (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2024-07-31)

In the era of advanced analytics and big data, ML algorithms are increasingly pivotal for addressing complex classification problems across diverse domains. This study explores and compares the performance of several ...
Adaptive Mesh Refinement for Simulating Tsunami Propagation with Coriolis Effects in Shallow Water Equations

Irum, Hina (National University of Science and Technology NUST H-12 Islamabad, 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, ...
Numerical investigation of constant and variable fluid properties for 3-D stagnation point flow along a moving surface: An ANN approach

SALEEM, SANA (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2024-07-21)

Three-dimensional stagnation point flow along a vertical sheet has immense theoretical and practical applications ranging from heat exchangers to aerodynamics. The thesis aims to discuss two different interesting types ...

Now showing items 21-40 of 400

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