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  • Open Access

    ARTICLE

    Numerical Simulation and Parallel Computing of Acoustic Wave Equation in Isotropic-Heterogeneous Media

    Arshyn Altybay1,2,*, Niyaz Tokmagambetov1,3

    CMES-Computer Modeling in Engineering & Sciences, Vol.141, No.2, pp. 1867-1881, 2024, DOI:10.32604/cmes.2024.054892 - 27 September 2024

    Abstract In this paper, we consider the numerical implementation of the 2D wave equation in isotropic-heterogeneous media. The stability analysis of the scheme using the von Neumann stability method has been studied. We conducted a study on modeling the propagation of acoustic waves in a heterogeneous medium and performed numerical simulations in various heterogeneous media at different time steps. Developed parallel code using Compute Unified Device Architecture (CUDA) technology and tested on domains of various sizes. Performance analysis showed that our parallel approach showed significant speedup compared to sequential code on the Central Processing Unit (CPU). More >

  • Open Access

    ARTICLE

    Modeling the Dynamics of Tuberculosis with Vaccination, Treatment, and Environmental Impact: Fractional Order Modeling

    Muhammad Altaf Khan1,*, Mahmoud H. DarAssi2, Irfan Ahmad3, Noha Mohammad Seyam4, Ebraheem Alzahrani5

    CMES-Computer Modeling in Engineering & Sciences, Vol.141, No.2, pp. 1365-1394, 2024, DOI:10.32604/cmes.2024.053681 - 27 September 2024

    Abstract A mathematical model is designed to investigate Tuberculosis (TB) disease under the vaccination, treatment, and environmental impact with real cases. First, we introduce the model formulation in non-integer order derivative and then, extend the model into fractional order derivative. The fractional system’s existence, uniqueness, and other relevant properties are shown. Then, we study the stability analysis of the equilibrium points. The disease-free equilibrium (DFE) is locally asymptotically stable (LAS) when . Further, we show the global asymptotical stability (GAS) of the endemic equilibrium (EE) for and for . The existence of bifurcation analysis in the More >

  • Open Access

    ARTICLE

    Effect of Sweptback Angle of a Delta Wing on Surface Pressure Distribution at Supersonic Mach Numbers

    Shamitha Shetty1,2, Asha Crasta1, Sher Afghan Khan3,*, Abdul Aabid4, Muneer Baig4

    FDMP-Fluid Dynamics & Materials Processing, Vol.20, No.10, pp. 2353-2376, 2024, DOI:10.32604/fdmp.2024.051059 - 23 September 2024

    Abstract The purpose of this work is to shed light on the effect of the pivot position on the surface pressure distribution over a 3D wing in different flight conditions. The study is intended to support the design and development of aerospace vehicles where stability analysis, performance optimization, and aircraft design are of primary importance. The following parameters are considered: Mach numbers (M) of 1.3, 1.8, 2.3, 2.8, 3.3, and 3.8, angle of incidence (θ) in the range from 5° to 25°, pivot position from h = 0.2 to 1. The results of the CFD numerical More >

  • Open Access

    ARTICLE

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

    Umar Shafique1,*, Mohamed Mahyoub Al-Shamiri2, Ali Raza3, Emad Fadhal4,*, Muhammad Rafiq5,6, Nauman Ahmed5,7

    CMES-Computer Modeling in Engineering & Sciences, Vol.141, No.1, pp. 311-329, 2024, DOI:10.32604/cmes.2024.052383 - 20 August 2024

    Abstract Based on the World Health Organization (WHO), Meningitis is a severe infection of the meninges, the membranes covering the brain and spinal cord. It is a devastating disease and remains a significant public health challenge. This study investigates a bacterial meningitis model through deterministic and stochastic versions. Four-compartment population dynamics explain the concept, particularly the susceptible population, carrier, infected, and recovered. The 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 deterministic model, the two methodologies studied are transition… More >

  • Open Access

    ARTICLE

    Research on the Stability Analysis Method of DC Microgrid Based on Bifurcation and Strobe Theory

    Wei Chen, Nan Qiu*, Xusheng Yang

    Energy Engineering, Vol.121, No.4, pp. 987-1005, 2024, DOI:10.32604/ee.2023.045475 - 26 March 2024

    Abstract During the operation of a DC microgrid, the nonlinearity and low damping characteristics of the DC bus make it prone to oscillatory instability. In this paper, we first establish a discrete nonlinear system dynamic model of a DC microgrid, study the effects of the converter sag coefficient, input voltage, and load resistance on the microgrid stability, and reveal the oscillation mechanism of a DC microgrid caused by a single source. Then, a DC microgrid stability analysis method based on the combination of bifurcation and strobe is used to analyze how the aforementioned parameters influence the More >

  • Open Access

    ARTICLE

    A Hybrid SIR-Fuzzy Model for Epidemic Dynamics: A Numerical Study

    Muhammad Shoaib Arif1,2,*, Kamaleldin Abodayeh1, Yasir Nawaz2

    CMES-Computer Modeling in Engineering & Sciences, Vol.139, No.3, pp. 3417-3434, 2024, DOI:10.32604/cmes.2024.046944 - 11 March 2024

    Abstract This study focuses on the urgent requirement for improved accuracy in disease modeling by introducing a new computational framework called the Hybrid SIR-Fuzzy Model. By integrating the traditional Susceptible-Infectious-Recovered (SIR) model with fuzzy logic, our method effectively addresses the complex nature of epidemic dynamics by accurately accounting for uncertainties and imprecisions in both data and model parameters. The main aim of this research is to provide a model for disease transmission using fuzzy theory, which can successfully address uncertainty in mathematical modeling. Our main emphasis is on the imprecise transmission rate parameter, utilizing a three-part… More >

  • Open Access

    ARTICLE

    Numerical Analysis for the Effect of Irresponsible Immigrants on HIV/AIDS Dynamics

    Muhammad Tariq Ali1, Dumitru Baleanu2,3,4, Muhammad Rafiq5, Jan Awrejcewicz6, Nauman Ahmed7, Ali Raza8,*, Muhammad Sajid Iqbal9, Muhammad Ozair Ahmad7

    Intelligent Automation & Soft Computing, Vol.36, No.2, pp. 1479-1496, 2023, DOI:10.32604/iasc.2023.033157 - 05 January 2023

    Abstract The human immunodeficiency viruses are two species of Lentivirus that infect humans. Over time, they cause acquired immunodeficiency syndrome, a condition in which progressive immune system failure allows life-threatening opportunistic infections and cancers to thrive. Human immunodeficiency virus infection came from a type of chimpanzee in Central Africa. Studies show that immunodeficiency viruses may have jumped from chimpanzees to humans as far back as the late 1800s. Over decades, human immunodeficiency viruses slowly spread across Africa and later into other parts of the world. The Susceptible-Infected-Recovered (SIR) models are significant in studying disease dynamics. In… More >

  • Open Access

    ARTICLE

    Stability Analysis and Control of DC Distribution System with Electric Vehicles

    Zhijie Zheng1, Song Zhang1, Xiaolei Zhang2, Bo Yang1, Fang Yan3, Xiaoning Ge3,*

    Energy Engineering, Vol.120, No.3, pp. 633-647, 2023, DOI:10.32604/ee.2022.024081 - 03 January 2023

    Abstract The DC distribution network system equipped with a large number of power electronic equipment exhibits weak damping characteristics and is prone to low-frequency and high-frequency unstable oscillations. The current interpretation of the oscillation mechanism has not been unified. Firstly, this paper established the complete state-space model of the distribution system consisting of a large number of electric vehicles, characteristic equation of the distribution network system is derived by establishing a state-space model, and simplified reduced-order equations describing the low-frequency oscillation and the high-frequency oscillation are obtained. Secondly, based on eigenvalue analysis, the oscillation modes and More >

  • Open Access

    ARTICLE

    Stability Analysis of Landfills Contained by Retaining Walls Using Continuous Stress Method

    Yufang Zhang1, Yingfa Lu2,*, Yao Zhong2, Jian Li1, Dongze Liu2

    CMES-Computer Modeling in Engineering & Sciences, Vol.134, No.1, pp. 357-381, 2023, DOI:10.32604/cmes.2022.020874 - 24 August 2022

    Abstract An analytical method for determining the stresses and deformations of landfills contained by retaining walls is proposed in this paper. In the proposed method, the sliding resisting normal and tangential stresses of the retaining wall and the stress field of the sliding body are obtained considering the differential stress equilibrium equations, boundary conditions, and macroscopic forces and moments applied to the system, assuming continuous stresses at the interface between the sliding body and the retaining wall. The solutions to determine stresses and deformations of landfills contained by retaining walls are obtained using the Duncan-Chang and More >

  • Open Access

    ARTICLE

    Bio-Inspired Modelling of Disease Through Delayed Strategies

    Arooj Nasir1,2, Dumitru Baleanu3,4,5, Ali Raza6,*, Pervez Anwar7, Nauman Ahmed8, Muhammad Rafiq9, Tahir Nawaz Cheema10

    CMC-Computers, Materials & Continua, Vol.73, No.3, pp. 5717-5734, 2022, DOI:10.32604/cmc.2022.031879 - 28 July 2022

    Abstract In 2020, the reported cases were 0.12 million in the six regions to the official report of the World Health Organization (WHO). For most children infected with leprosy, 0.008629 million cases were detected under fifteen. The total infected ratio of the children population is approximately 4.4 million. Due to the COVID-19 pandemic, the awareness programs implementation has been disturbed. Leprosy disease still has a threat and puts people in danger. Nonlinear delayed modeling is critical in various allied sciences, including computational biology, computational chemistry, computational physics, and computational economics, to name a few. The time… More >

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