Browsing by Author "Muhammad Asif"

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    Solutions of Some Mathematical Models by Homotopy Perturbation Method
    (Library Information Services, CUI Lahore, 2022) Muhammad Asif; SP21-RMT-006/; Dr. Muhammad Rafiullah
    The main objective of this study is to apply homotopy perturbation method to solve some nonlinear dynamical models, especially the models which lead to predict and control the pandemic diseases or SIR (S = susceptible, I = infected and R = recovered). We solve two models by using homotopy perturbation method (HPM), one is the “population dynamics” and the second is “novel coronavirus (COVID-19)” with six compartments which consist on susceptible, exposed, asymptomatic infected, symptomatic infected and recovered people and the concentration of the COVID-19 in the environment, denoted by S(t), E(t), A(t), I(t), R(t) and B(t) respectively. We provide the convergence order of HPM and show the convergence order of a series solution. Moreover, we analyze the series solution of the model of novel coronavirus (COVID-19) by taking the different values of controlling parameter and showing them in graphs.
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    t-fold Edgewise Subdivision of a Simplicial Complex
    (Library Information Services, CUI Lahore, 2023) Muhammad Asif; CIIT/FA21-RMT-021/LHR; Prof. Dr. Sarfraz Ahmad
    In current thesis, the flow of non-Newtonian fluid over variable thicker surface is investi- gated. For the non-Newtonian fluid, five parameters contained Carreau Model is used. To achieve the goal, thesis is divided into three chapters. One chapter contains the basic def- initions and some terminologies. Chapter two contains basic governing equations which are used for flow problem. In the last chapter, the mathematical model is developed by using equations of chapter two. The solution of this model is obtained by RK-method. The results are displayed in form of velocity and temperature profile for discussion.