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  • Open Access


    Efficient Numerical Scheme for Solving Large System of Nonlinear Equations

    Mudassir Shams1, Nasreen Kausar2,*, Shams Forruque Ahmed3, Irfan Anjum Badruddin4, Syed Javed4

    CMC-Computers, Materials & Continua, Vol.74, No.3, pp. 5331-5347, 2023, DOI:10.32604/cmc.2023.033528

    Abstract A fifth-order family of an iterative method for solving systems of nonlinear equations and highly nonlinear boundary value problems has been developed in this paper. Convergence analysis demonstrates that the local order of convergence of the numerical method is five. The computer algebra system CAS-Maple, Mathematica, or MATLAB was the primary tool for dealing with difficult problems since it allows for the handling and manipulation of complex mathematical equations and other mathematical objects. Several numerical examples are provided to demonstrate the properties of the proposed rapidly convergent algorithms. A dynamic evaluation of the presented methods More >

  • Open Access


    Stable Computer Method for Solving Initial Value Problems with Engineering Applications

    Mudassir Shams1, Nasreen Kausar2, Ebru Ozbilge3,*, Alper Bulut3

    Computer Systems Science and Engineering, Vol.45, No.3, pp. 2617-2633, 2023, DOI:10.32604/csse.2023.034370

    Abstract Engineering and applied mathematics disciplines that involve differential equations in general, and initial value problems in particular, include classical mechanics, thermodynamics, electromagnetism, and the general theory of relativity. A reliable, stable, efficient, and consistent numerical scheme is frequently required for modelling and simulation of a wide range of real-world problems using differential equations. In this study, the tangent slope is assumed to be the contra-harmonic mean, in which the arithmetic mean is used as a correction instead of Euler’s method to improve the efficiency of the improved Euler’s technique for solving ordinary differential equations with… More >

  • Open Access


    E-MOGWO Algorithm for Computation Offloading in Fog Computing

    Jyoti Yadav*, Suman

    Intelligent Automation & Soft Computing, Vol.36, No.1, pp. 1063-1078, 2023, DOI:10.32604/iasc.2023.032883

    Abstract Despite the advances mobile devices have endured, they still remain resource-restricted computing devices, so there is a need for a technology that supports these devices. An emerging technology that supports such resource-constrained devices is called fog computing. End devices can offload the task to close-by fog nodes to improve the quality of service and experience. Since computation offloading is a multiobjective problem, we need to consider many factors before taking offloading decisions, such as task length, remaining battery power, latency, communication cost, etc. This study uses the multiobjective grey wolf optimization (MOGWO) technique for optimizing… More >

  • Open Access


    Threefold Optimized Forecasting of Electricity Consumption in Higher Education Institutions

    Majida Kazmi1,*, Hashim Raza Khan1,2, Lubaba2, Mohammad Hashir Bin Khalid2, Saad Ahmed Qazi1,2

    CMC-Computers, Materials & Continua, Vol.73, No.2, pp. 2351-2370, 2022, DOI:10.32604/cmc.2022.026265

    Abstract Energy management benefits both consumers and utility companies alike. Utility companies remain interested in identifying and reducing energy waste and theft, whereas consumers’ interest remain in lowering their energy expenses. A large supply-demand gap of over 6 GW exists in Pakistan as reported in 2018. Reducing this gap from the supply side is an expensive and complex task. However, efficient energy management and distribution on demand side has potential to reduce this gap economically. Electricity load forecasting models are increasingly used by energy managers in taking real-time tactical decisions to ensure efficient use of resources.… More >

  • Open Access


    On Increasing Computational Efficiency of Local Integral Equation Method Combined with Meshless Implementations

    V. Sladek1, J. Sladek1, Ch. Zhang2

    CMES-Computer Modeling in Engineering & Sciences, Vol.63, No.3, pp. 243-264, 2010, DOI:10.3970/cmes.2010.063.243

    Abstract The paper deals with diminishing the prolongation of the computational time due to procedural evaluation of the shape functions and their derivatives in weak formulations implemented with meshless approximations. The proposed numerical techniques are applied to problems of stationary heat conduction in functionally graded media. Besides the investigation of the computational efficiency also the accuracy and convergence study are performed in numerical tests. More >

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