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Evolutionary Safe Padé Approximation Scheme for Dynamical Study of Nonlinear Cervical Human Papilloma Virus Infection Model

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Computer Modeling in Engineering & Sciences 2024年第9期140卷 2275-2296页

作者： Javaid Ali Armando Ciancio Kashif Ali Khan nauman raza Haci Mehmet Baskonus Muhammad Luqman Zafar-Ullah Khan Department of Mathematics Govt.Graduate College TownshipLahore54770Pakistan Universitàdegli Studi di Messina Dipartimento di Scienze BiomedicheOdontoiatriche e delle Immagini Morfologiche e FunzionaliMessina98122Italy Department of Mathematics University of Engineering and TechnologyLahore54890Pakistan Department of Mathematics University of the PunjabLahore54590Pakistan Mathematics Research Center Near East University TRNCMersin 10Nicosia99138Turkey Department of Mathematics and Science Education Faculty of EducationHarran UniversitySanliurfa63190Turkey Department of Dermatology Rashid Latif Medical CollegeLahore54600Pakistan

This study proposes a structure-preserving evolutionary framework to find a semi-analytical approximate solution for a nonlinear cervical cancer epidemic(CCE)*** underlying CCE model lacks a closed-form exact *** solutions obtained through traditional finite difference schemes do not ensure the preservation of the model’s necessary properties,such as positivity,boundedness,and ***,the development of structure-preserving semi-analytical approaches is always *** research introduces an intelligently supervised computational paradigm to solve the underlying CCE model’s physical properties by formulating an equivalent unconstrained optimization ***-free safe Padérational functions approximate the mathematical shape of state variables,while the model’s physical requirements are treated as problem *** primary model of the governing differential equations is imposed to minimize the error between approximate *** evolutionary algorithm,the Genetic Algorithm with Multi-Parent Crossover(GA-MPC),executes the optimization *** resulting method is the Evolutionary Safe PadéApproximation(ESPA)*** proof of unconditional convergence of the ESPA scheme on the CCE model is supported by numerical *** performance of the ESPA scheme on the CCE model is thoroughly investigated by considering various orders of non-singular Padéapproximants.

关键词： Nonlinear cervical cancer epidemic non-singular Padéapproximants approximate solutions computational biology

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Multiple rational rogue waves for higher dimensional nonlinear evolution equations via symbolic computation approach

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Journal of Ocean Engineering and Science 2023年第1期8卷 33-41页

作者： Saima Arshed nauman raza Asma Rashid Butt Ahmad Javid J.F.Gómez-Aguilar Department of Mathematics University of the PunjabQuaid-e-Azam CampusLahorePakistan Department of Mathematics University of Engineering and TechnologyLahorePakistan School of Natural Sciences(SNS) National University of Sciences and Technology(NUST)Islamabad 44000Pakistan CONACyT-Tecnológico Nacional de México/CENIDET Interior Internado Palmira S/NCol.PalmiraCuernavaca Morelos C.P.62490México

The paper investigates the multiple rogue wave solutions associated with the generalized Hirota-Satsuma-Ito(HSI)equation and the newly proposed extended(3+1)-dimensional Jimbo-Miwa(JM)equation with the help of a symbolic computation *** incorporating a direct variable trans-formation and utilizing Hirota’s bilinear form,multiple rogue wave structures of different orders are ob-tained for both generalized HSI and JM *** obtained bilinear forms of the proposed equations successfully investigate the 1st,2nd and 3rd-order rogue *** constructed solutions are verified by inserting them into original *** computations are assisted with 3D graphs to analyze the propagation dynamics of these rogue *** properties of these waves are governed by different parameters that are discussed in details.

关键词： Generalized Hirota-Satsuma-Ito(HSI) equation The new extended(3+1)-dimensional Jimbo-Miwaequation Symbolic computation approach Bilinear form Rogue wave solutions

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Dipole and Combo Optical Solitons in Birefringent Fibers in the Presence of Four-Wave Mixing

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Communications in Theoretical Physics 2019年第6期71卷 723-730页

作者： nauman raza Asad Zubair Department of Mathematics University of the Punjab Quaid-e-Azam Campus

The ultimate theme of this study is to develop dipole and combo optical solitons in birefringent fibers(BF) along with the effect of four-wave mixing(4 WM). Two types of rough mediums are used which are Kerr law and parabolic law. Ansatz method of Choudhuri is applied to obtain dark in the bright(dipole) soliton solutions providing bright background for the propagation of optical dark pulse. Ansatz method of Li is applied to obtain combo soliton solutions providing bright solitary wave and dark solitary wave solutions. These results also exist to hold in non-Kerr media with higher order dispersion.

关键词： dipole solitons combo solitons ansatz methods four-wave mixing birefringent fibers

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Painlevé integrability and a collection of new wave structures related to an important model in shallow water waves

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理论物理通讯:英文版 2023年第7期75卷 70-80页

作者： Isma Ghulam Murtaza nauman raza Saima Arshed Department of Mathematics University of the PunjabLahore 54590Pakistan

This paper investigates the perturbed Boussinesq equation that emerges in shallow water *** perturbed Boussinesq equation describes the properties of longitudinal waves in bars,long water waves,plasma waves,quantum mechanics,acoustic waves,nonlinear optics,and other *** a result,the governing model has significant importance in its own *** singular manifold method and the unified methods are employed in the proposed model for extracting hyperbolic,trigonometric,and rational function *** solutions may be useful in determining the underlying context of the physical *** is worth noting that the executed methods are skilled and effective for examining nonlinear evaluation equations,compatible with computer algebra,and provide a wide range of wave *** addition to this,the Painlevétest is also used to check the integrability of the governing ***-dimensional and threedimensional plots are made to illustrate the physical behavior of the newly obtained exact *** makes the study of exact solutions to other nonlinear evaluation equations using the singular manifold method and unified technique prospective and deserving of further study.

关键词： soliton shallow water waves singular manifold method Painleve test

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Fractional soliton dynamics of electrical microtubule transmission line model with local M-derivative

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Communications in Theoretical Physics 2021年第9期73卷 17-25页

作者： nauman raza Saima Arshed Kashif Ali Khan Mustafa Inc Department of Mathematics University of the PunjabQuaid-e-Azam CampusLahorePakistan Department of Mathematics University of Engineering and TechnologyLahorePakistan Department of Computer Engineering Biruni UniversityIstanbulTurkey Department of Mathematics Science FacultyFirat UniversityElazigTurkey Department of Medical Research Medical University HospitalChina Medical UniversityTaichungTaiwanChina

In this paper,two integrating strategies namely exp[-Ф(Х)]and (G'/G^(2))-expansion methods together with the attributes of local-M derivatives have been acknowledged on the electrical microtubule(MT)model to retrieve soliton *** said model performs a significant role in illustrating the waves propagation in nonlinear *** are also highly productive in signaling,cell motility,and intracellular *** proposed algorithms yielded solutions of bright,dark,singular,and combo fractional soliton *** significance of the fractional parameters of the fetched results is explained and presented vividly.

关键词： solitons solution microtubule nonlinear transmission line (G'/G^(2))-expansion method

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Numerical Analysis of Bacterial Meningitis Stochastic Delayed Epidemic Model through Computational Methods

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Computer Modeling in Engineering & Sciences 2024年第10期141卷 311-329页

作者： Umar Shafique Mohamed Mahyoub Al-Shamiri Ali raza Emad Fadhal Muhammad Rafiq nauman Ahmed Department of Mathematics National College of Business Administration and EconomicsLahore54660Pakistan Department of Mathematics Applied CollegeMahayl AssirKing Khalid UniversityAbha62529Saudi Arabia Department of Physical Sciences The University of ChenabGujrat50700Pakistan Department of Mathematics&Statistics College of ScienceKing Faisal UniversityP.O.Box 400Al-Ahsa31982Saudi Arabia Department of Computer Science and Mathematics Lebanese American UniversityBeirut1102-2801Lebanon Department of Mathematics Faculty of Science and TechnologyUniversity of Central PunjabLahore54000Pakistan Department of Mathematics and Statistics University of LahoreLahore54000Pakistan

Based on theWorld Health Organization(WHO),Meningitis is a severe infection of the meninges,the membranes covering the brain and spinal *** is a devastating disease and remains a significant public health *** study investigates a bacterial meningitis model through deterministic and stochastic ***-compartment population dynamics explain the concept,particularly the susceptible population,carrier,infected,and *** model predicts the nonnegative equilibrium points and reproduction number,i.e.,the Meningitis-Free Equilibrium(MFE),and Meningitis-Existing Equilibrium(MEE).For the stochastic version of the existing deterministicmodel,the twomethodologies studied are transition probabilities and non-parametric ***,positivity,boundedness,extinction,and disease persistence are studiedrigorouslywiththe helpofwell-known *** and nonstandard techniques such as EulerMaruyama,stochastic Euler,stochastic Runge Kutta,and stochastic nonstandard finite difference in the sense of delay have been presented for computational analysis of the stochastic ***,standard methods fail to restore the biological properties of the model,so the stochastic nonstandard finite difference approximation is offered as an efficient,low-cost,and independent of time step *** addition,the convergence,local,and global stability around the equilibria of the nonstandard computational method is studied by assuming the perturbation effect is *** simulations and comparison of the methods are presented to support the theoretical results and for the best visualization of results.

关键词： BacterialMeningitis disease stochastic delayed model stability analysis extinction and persistence computational methods

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Insights of numerical simulations of magnetohydrodynamic squeezing nanofluid flow through a channel with permeable walls

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Propulsion and Power Research 2021年第4期10卷 412-420页

作者： Kashif Ali Khan nauman raza Mustafa Inc Department of Mathematics University of Engineering and TechnologyLahorePunjab54000Pakistan Department of Mathematics University of the PunjabLahorePunjab54000Pakistan Department of Computer Engineering Biruni UniversityIstanbulTurkey Department of Mathematics Firat UniversityElazig23119Turkey

An analysis related to the transport of nanofluid that is confined in a channel between two orthogonal permeable walls will be investigated with the help of two numerical *** the aid of the reasonable similarity changeover;the said model will be shaped into the desired non-linear equation whose behavior will be explained analytically as well as graphically where the functioning of three disparate variables such as magnetic parameter,permeable Reynold number,and channel permeable ratio will be explained *** said model has been controlled by the homotopy analysis method(HAM)and then,compared through an efficient numerical method named shooting method(ShM).The profiles show that increases in the magnetic parameter decline the nanofluid flow velocity,whereas magnitude-wise raise is shown in each axial velocity *** radial profile raises while getting variation in wall expansion parameter from negative to *** the entire domain,the rate of change in velocity description enhances at the center while reduces at the *** the outcomes disclose that the wall permeable ratio has a significant impact on the *** the zero value of wall ratio refers to the particular type that Terrill has discussed.

关键词： Homotopy analysis method Orthogonal walls Nanofluid Similarity changeover Wall ratio factor

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Multi-solitons of Thermophoretic Motion Equation Depicting the Wrinkle Propagation in Substrate-Supported Graphene Sheets

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Communications in Theoretical Physics 2019年第4期71卷 362-366页

作者： Ahmad Javid nauman raza M.S.Osman Department of Mathematics University of the Punjab Quaid-e-Azam Campus Department of Mathematics Faculty of Science Cairo University Department of Mathematics Duba University College University of Tabuk

The paper addresses the thermophoretic motion(TM) equation, which is serviced to describe soliton-like thermophoresis of wrinkles in graphene sheet based on Korteweg-de Vries(KdV) equation. The generalized uni?ed method is capitalized to construct wrinkle-like multiple soliton solutions. Graphical analysis of one, two, and threesoliton solutions is carried out to depict certain properties like width, amplitude, shape, and open direction are adjustable through various parameters.

关键词： thermophoretic motion equation generalized unified method multiple soliton solution graphene sheets

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Bond-Slip Behavior of Steel Bar and Recycled Steel Fibre-Reinforced Concrete

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Journal of Renewable Materials 2024年第1期12卷 167-186页

作者： Ismail Shah Jing Li nauman Khan Hamad R.Almujibah Muhammad Mudassar Rehman Ali raza Yun Peng School of Architecture and Civil Engineering Yunnan Agricultural UniversityKunming650000China Institute of Mountain Hazards and Environment Chinese Academy of SciencesChengdu610041China Yunnan International Joint R&D Center of Smart Agriculture and Water Security Yunnan Agricultural UniversityKunming650201China School of Water Conservancy Yunnan Agricultural UniversityKunming650201China School of Civil Engineering Guizhou UniversityGuiyang550025China Department of Civil Engineering College of EngineeringTaif UniversityP.O.Box 11099Taif City21974Saudi Arabia School of Civil Engineering Zhengzhou UniversityZhengzhou450001China

Recycled steel fiber reinforced concrete is an innovative construction material that offers exceptional mechanical properties and *** is considered a sustainable material due to its low carbon footprint and environmental friendly *** study examines the key influencing factors that affect the behavior of this material,such as the steel fiber volume ratio,recycled aggregate replacement rate,concrete strength grade,anchorage length,and stirrup *** study investigates the bond failure morphology,bond-slip,and bond strength constitutive relationship of steel fiber recycled *** results show that the addition of steel fibers at 0.5%,1.0%,and 1.5%volume ratios can improve the ultimate bond strength of pull-out specimens by 9.05%,6.94%,and 5.52%,*** replacement rate of recycled aggregate has minimal effect on the typical bond strength of pull-out ***,the ultimate bond strengths of pull-out specimens with concrete strength grades C45 and C60 have improved compared to those with C30 *** specimens with longer anchorage lengths exhibit lower ultimate bond strength,with a reduction of 33.19%and 46.37%for anchorage lengths of 5D and 7D,respectively,compared to those without *** restraint of 1φ8 and 2φ8 improves the ultimate bond strength by 5.29%and 6.90%,*** fibers have a significant effect on the behavior of concrete after it cracks,especially during the stable expansion stage,crack instability expansion stage,and failure stage.

关键词： Recycled coarse aggregates(RCA) steel fiber bonding performance bond-slip environmental challenges

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Sobolev Gradient Approach for Huxley and Fisher Models for Gene Propagation

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Applied Mathematics 2013年第8期4卷 1212-1219页

作者： nauman raza Sultan Sial Department of Mathematics Lahore University of Management Sciences Lahore Pakistan Department of Mathematics University of the Punjab Lahore Pakistan Department of Mathematics and Statistics McMaster University Hamilton Canada

The application of Sobolev gradient methods for finding critical points of the Huxley and Fisher models is demonstrated. A comparison is given between the Euclidean, weighted and unweighted Sobolev gradients. Results ... 详细信息

关键词： Sobolev Gradient Huxley and Fisher Models Descent Methods

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