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  • Open Access

    ARTICLE

    Spectral Solutions of Linear and Nonlinear BVPs Using Certain Jacobi Polynomials Generalizing Third- and Fourth-Kinds of Chebyshev Polynomials

    W. M. Abd-Elhameed1,2,*, Asmaa M. Alkenedri2

    CMES-Computer Modeling in Engineering & Sciences, Vol., , DOI:10.32604/cmes.2021.013603

    Abstract This paper is dedicated to implementing and presenting numerical algorithms for solving some linear and nonlinear even-order two-point boundary value problems. For this purpose, we establish new explicit formulas for the high-order derivatives of certain two classes of Jacobi polynomials in terms of their corresponding Jacobi polynomials. These two classes generalize the two celebrated non-symmetric classes of polynomials, namely, Chebyshev polynomials of third- and fourth-kinds. The idea of the derivation of such formulas is essentially based on making use of the power series representations and inversion formulas of these classes of polynomials. The derived formulas serve in converting the even-order… More >

  • Open Access

    ARTICLE

    Shear Induced Seepage and Heat Transfer Evolution in a Single-Fractured Hot-Dry-Rock

    Hongwei Zhang1,2, Zhijun Wan3, Yixin Zhao1,2, Yuan Zhang3, Yulong Chen2,*, Junhui Wang3,*, Jingyi Cheng3

    CMES-Computer Modeling in Engineering & Sciences, Vol., , DOI:10.32604/cmes.2021.013179

    Abstract In the enhanced geothermal system (EGS), the injected fluid will induce shear sliding of rock fractures (i.e., hydroshearing), which consequently, would increase the fracture aperture and improve the heat transfer efficiency of the geothermal reservoir. In this study, theoretical analysis, experimental research and numerical simulation were performed to uncover the permeability and heat transfer enhancement mechanism of the Hot-Dry-Rock (HDR) mass under the impact of shearing. By conducting the direct shear test with the fractured rock samples, the evolution process of fracture aperture during the shearing tests was observed, during which process, cubic law was adopted to depict the rock… More >

  • Open Access

    ARTICLE

    Generalized Truncated Fréchet Generated Family Distributions and Their Applications

    Ramadan A. ZeinEldin1,2, Christophe Chesneau3,*, Farrukh Jamal4, Mohammed Elgarhy5, Abdullah M. Almarashi6, Sanaa Al-Marzouki6

    CMES-Computer Modeling in Engineering & Sciences, Vol., , DOI:10.32604/cmes.2021.012169

    Abstract Understanding a phenomenon from observed data requires contextual and efficient statistical models. Such models are based on probability distributions having sufficiently flexible statistical properties to adapt to a maximum of situations. Modern examples include the distributions of the truncated Fréchet generated family. In this paper, we go even further by introducing a more general family, based on a truncated version of the generalized Fréchet distribution. This generalization involves a new shape parameter modulating to the extreme some central and dispersion parameters, as well as the skewness and weight of the tails. We also investigate the main functions of the new… More >

  • Open Access

    ARTICLE

    An Improved Higher-Order Time Integration Algorithm for Structural Dynamics

    Yi Ji1,2, Yufeng Xing1,*

    CMES-Computer Modeling in Engineering & Sciences, Vol., , DOI:10.32604/cmes.2021.014244

    Abstract Based on the weighted residual method, a single-step time integration algorithm with higher-order accuracy and unconditional stability has been proposed, which is superior to the second-order accurate algorithms in tracking long-term dynamics. For improving such a higher-order accurate algorithm, this paper proposes a two sub-step higher-order algorithm with unconditional stability and controllable dissipation. In the proposed algorithm, a time step interval [tk, tk + h] where h stands for the size of a time step is divided into two sub-steps [tk, tk + γh] and [tk + γh, tk + h]. A non-dissipative fourth-order algorithm is used in the rst… More >

  • Open Access

    ARTICLE

    Development of TD-BEM Formulation for Dynamic Analysis for Twin-Parallel Circular Tunnels in an Elastic Semi-Innite Medium

    Weidong Lei1, Hai Zhou1,*, Hongjun Li2, Rui Chen1

    CMES-Computer Modeling in Engineering & Sciences, Vol., , DOI:10.32604/cmes.2021.011857

    Abstract In order to simulate the propagation process of subway vibration of parallel tunnels in semi-infinite rocks or soils, time domain boundary element method (TD-BEM) formulation for analyzing the dynamic response of twin-parallel circular tunnels in an elastic semi-infinite medium is developed in this paper. The time domain boundary integral equations of displacement and stress for the elastodynamic problem are presented based on Betti’s reciprocal work theorem, ignoring contributions from initial conditions and body forces. In the process of establishing time domain boundary integral equations, some virtual boundaries are constructed between finite boundaries and the free boundary to form a boundary… More >

  • Open Access

    ARTICLE

    MHD Maxwell Fluid with Heat Transfer Analysis under Ramp Velocity and Ramp Temperature Subject to Non-Integer Differentiable Operators

    Thabet Abdeljawad1,2,3, Muhammad Bilal Riaz4,5, Syed Tauseef Saeed6,*, Nazish Iftikhar6

    CMES-Computer Modeling in Engineering & Sciences, Vol., , DOI:10.32604/cmes.2021.012529

    Abstract The main focus of this study is to investigate the impact of heat generation/absorption with ramp velocity and ramp temperature on magnetohydrodynamic (MHD) time-dependent Maxwell fluid over an unbounded plate embedded in a permeable medium. Non-dimensional parameters along with Laplace transformation and inversion algorithms are used to find the solution of shear stress, energy, and velocity profile. Recently, new fractional differential operators are used to define ramped temperature and ramped velocity. The obtained analytical solutions are plotted for different values of emerging parameters. Fractional time derivatives are used to analyze the impact of fractional parameters (memory effect) on the dynamics… More >

  • Open Access

    ARTICLE

    A Novel Collaborative Filtering Algorithm and Its Application for Recommendations in E-Commerce

    Jie Zhang1,5, Juan Yang2,*, Li Wang3, Yizhang Jiang4, Pengjiang Qian4, Yuan Liu4

    CMES-Computer Modeling in Engineering & Sciences, Vol., , DOI:10.32604/cmes.2021.012112

    Abstract With the rapid development of the Internet, the amount of data recorded on the Internet has increased dramatically. It is becoming more and more urgent to effectively obtain the specific information we need from the vast ocean of data. In this study, we propose a novel collaborative filtering algorithm for generating recommendations in e-commerce. This study has two main innovations. First, we propose a mechanism that embeds temporal behavior information to find a neighbor set in which each neighbor has a very significant impact on the current user or item. Second, we propose a novel collaborative filtering algorithm by injecting… More >

  • Open Access

    ARTICLE

    Mesoscopic-Scale Numerical Investigation Including the Inuence of Process Parameters on LPBF Multi-Layer Multi-Path Formation

    Liu Cao*

    CMES-Computer Modeling in Engineering & Sciences, Vol., , DOI:10.32604/cmes.2021.014693

    Abstract As a typical laser additive manufacturing technology, laser powder bed fusion (LPBF) has achieved demonstration applications in aerospace, biomedical and other fields. However, how to select process parameters quickly and reasonably is still the main concern of LPBF production. In order to quantitatively analyze the inuence of different process parameters (laser power, scanning speed, hatch space and layer thickness) on the LPBF process, the multi-layer and multi-path forming process of LPBF was predicted based on the open-source discrete element method framework Yade and the open-source finite volume method framework OpenFOAM. Based on the design of experiments method, a four-factor three-level… More >

  • Open Access

    ARTICLE

    Nonlinear Thermal Buoyancy on Ferromagnetic Liquid Stream Over a Radiated Elastic Surface with Non Fourier Heat Flux

    T. K. Sreelakshmi1, Abraham Annamma1, A. S. Chethan1, M. Krishna Murthy2, C. S. K. Raju3,*

    CMES-Computer Modeling in Engineering & Sciences, Vol., , DOI:10.32604/cmes.2021.013077

    Abstract The current article discusses the heat transfer characteristics of ferromagnetic liquid over an elastic surface with the thermal radiation and non-Fourier heat flux. In most of the existing studies, the heat flux is considered as constant, but whereas we incorporated the non-Fourier flux to get the exact performance of the flow. Also, we excluded the PWT and PHF cases to control the boundary layer of the flow. The governing equations related to our contemplate are changed into non-linear ordinary differential equations (ODE’s) by utilizing appropriate similarity changes, which are at the point enlightened by Runge–Kutta based shooting approach. The equations… More >

  • Open Access

    ARTICLE

    An Anonymous Authentication Scheme with Controllable Linkability for Vehicle Sensor Networks

    Yousheng Zhou1,2, Lvjun Chen1, Xiaofeng Zhao1,*, Zheng Yang3

    CMES-Computer Modeling in Engineering & Sciences, Vol., , DOI:10.32604/cmes.2021.013289

    Abstract Vehicle sensor networks (VSN) play an increasingly important part in smart city, due to the interconnectivity of the infrastructure. However similar to other wireless communications, vehicle sensor networks are susceptible to a broad range of attacks. In addition to ensuring security for both data-at-rest and data-in-transit, it is essential to preserve the privacy of data and users in vehicle sensor networks. Many existing authentication schemes for vehicle sensor networks are generally not designed to also preserve the privacy between the user and service provider (e.g., mining user data to provide personalized services without infringing on user privacy). Controllable linkability can… More >

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