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  • Open Access

    ARTICLE

    Solving the BBMB Equation in Shallow Water Waves via Space-Time MQ-RBF Collocation

    Hongwei Ma1, Yingqian Tian2,*, Fuzhang Wang3,*, Quanfu Lou4, Lijuan Yu4

    CMES-Computer Modeling in Engineering & Sciences, Vol.144, No.3, pp. 3419-3432, 2025, DOI:10.32604/cmes.2025.070791 - 30 September 2025

    Abstract This study introduces a novel single-layer meshless method, the space-time collocation method based on multiquadric-radial basis functions (MQ-RBF), for solving the Benjamin-Bona-Mahony-Burgers (BBMB) equation. By reconstructing the time variable as a space variable, this method establishes a combined space-time structure that can eliminate the two-step computational process required in traditional grid methods. By introducing shape parameter-optimized MQ-RBF, high-precision discretization of the nonlinear, dispersive, and dissipative terms in the BBMB equation is achieved. The numerical experiment section validates the effectiveness of the proposed method through three benchmark examples. This method shows significant advantages in computational efficiency, More >

  • Open Access

    ARTICLE

    Radial Basis Function Neural Network Adaptive Controller for Wearable Upper-Limb Exoskeleton with Disturbance Observer

    Mohammad Soleimani Amiri1, Sahbi Boubaker2,3,*, Rizauddin Ramli4,*, Souad Kamel2

    CMES-Computer Modeling in Engineering & Sciences, Vol.144, No.3, pp. 3113-3133, 2025, DOI:10.32604/cmes.2025.069167 - 30 September 2025

    Abstract Disability is defined as a condition that makes it difficult for a person to perform certain vital activities. In recent years, the integration of the concepts of intelligence in solving various problems for disabled persons has become more frequent. However, controlling an exoskeleton for rehabilitation presents challenges due to their non-linear characteristics and external disturbances caused by the structure itself or the patient wearing the exoskeleton. To remedy these problems, this paper presents a novel adaptive control strategy for upper-limb rehabilitation exoskeletons, addressing the challenges of nonlinear dynamics and external disturbances. The proposed controller integrated… More >

  • Open Access

    ARTICLE

    An Improved Local RBF Collocation Method for 3D Excavation Deformation Based on Direct Method and Mapping Technique

    Cheng Deng1,2, Hui Zheng2,*, Liangyong Gong1, Rongping Zhang1, Mengqi Wang3

    CMES-Computer Modeling in Engineering & Sciences, Vol.142, No.2, pp. 2147-2172, 2025, DOI:10.32604/cmes.2025.059750 - 27 January 2025

    Abstract Since the plasticity of soil and the irregular shape of the excavation, the efficiency and stability of the traditional local radial basis function (RBF) collocation method (LRBFCM) are inadequate for analyzing three-dimensional (3D) deformation of deep excavation. In this work, the technique known as the direct method, where the local influence nodes are collocated on a straight line, is introduced to optimize the LRBFCM. The direct method can improve the accuracy of the partial derivative, reduce the size effect caused by the large length-width ratio, and weaken the influence of the shape parameters on the More >

  • Open Access

    ARTICLE

    Research on Grid-Connected Control Strategy of Distributed Generator Based on Improved Linear Active Disturbance Rejection Control

    Xin Mao*, Hongsheng Su, Jingxiu Li

    Energy Engineering, Vol.121, No.12, pp. 3929-3951, 2024, DOI:10.32604/ee.2024.057106 - 22 November 2024

    Abstract The virtual synchronous generator (VSG) technology has been proposed to address the problem of system frequency and active power oscillation caused by grid-connected new energy power sources. However, the traditional voltage-current double-closed-loop control used in VSG has the disadvantages of poor disturbance immunity and insufficient dynamic response. In light of the issues above, a virtual synchronous generator voltage outer-loop control strategy based on improved linear autonomous disturbance rejection control (ILADRC) is put forth for consideration. Firstly, an improved first-order linear self-immunity control structure is established for the characteristics of the voltage outer loop; then, the… More >

  • Open Access

    ARTICLE

    Concurrent Two–Scale Topology Optimization of Thermoelastic Structures Using a M–VCUT Level Set Based Model of Microstructures

    Jin Zhou, Minjie Shao*, Ye Tian, Qi Xia*

    CMES-Computer Modeling in Engineering & Sciences, Vol.141, No.2, pp. 1327-1345, 2024, DOI:10.32604/cmes.2024.054059 - 27 September 2024

    Abstract By analyzing the results of compliance minimization of thermoelastic structures, we observed that microstructures play an important role in this optimization problem. Then, we propose to use a multiple variable cutting (M–VCUT) level set-based model of microstructures to solve the concurrent two–scale topology optimization of thermoelastic structures. A microstructure is obtained by combining multiple virtual microstructures that are derived respectively from multiple microstructure prototypes, thus giving more diversity of microstructure and more flexibility in design optimization. The effective mechanical properties of microstructures are computed in an off-line phase by using the homogenization method, and then More >

  • Open Access

    ARTICLE

    An Efficient Local Radial Basis Function Method for Image Segmentation Based on the Chan–Vese Model

    Shupeng Qiu, Chujin Lin, Wei Zhao*

    CMES-Computer Modeling in Engineering & Sciences, Vol.139, No.1, pp. 1119-1134, 2024, DOI:10.32604/cmes.2023.030915 - 30 December 2023

    Abstract In this paper, we consider the Chan–Vese (C-V) model for image segmentation and obtain its numerical solution accurately and efficiently. For this purpose, we present a local radial basis function method based on a Gaussian kernel (GA-LRBF) for spatial discretization. Compared to the standard radial basis function method, this approach consumes less CPU time and maintains good stability because it uses only a small subset of points in the whole computational domain. Additionally, since the Gaussian function has the property of dimensional separation, the GA-LRBF method is suitable for dealing with isotropic images. Finally, a More > Graphic Abstract

    An Efficient Local Radial Basis Function Method for Image Segmentation Based on the Chan–Vese Model

  • Open Access

    ARTICLE

    Fractional Gradient Descent RBFNN for Active Fault-Tolerant Control of Plant Protection UAVs

    Lianghao Hua1,2, Jianfeng Zhang1,*, Dejie Li3, Xiaobo Xi1

    CMES-Computer Modeling in Engineering & Sciences, Vol.138, No.3, pp. 2129-2157, 2024, DOI:10.32604/cmes.2023.030535 - 15 December 2023

    Abstract With the increasing prevalence of high-order systems in engineering applications, these systems often exhibit significant disturbances and can be challenging to model accurately. As a result, the active disturbance rejection controller (ADRC) has been widely applied in various fields. However, in controlling plant protection unmanned aerial vehicles (UAVs), which are typically large and subject to significant disturbances, load disturbances and the possibility of multiple actuator faults during pesticide spraying pose significant challenges. To address these issues, this paper proposes a novel fault-tolerant control method that combines a radial basis function neural network (RBFNN) with a More > Graphic Abstract

    Fractional Gradient Descent RBFNN for Active Fault-Tolerant Control of Plant Protection UAVs

  • Open Access

    PROCEEDINGS

    Comprehensive Simulation of Hot Shape Rolling by Considering the Casting Defects

    Umut Hanoglu1,2,*, Božidar Šarler1,2

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.27, No.2, pp. 1-1, 2023, DOI:10.32604/icces.2023.09610

    Abstract In this research, a rolling simulation system based on a novel meshless solution procedure is upgraded considering casting defects in the material model. The improved model can predict the final stage of the defects after multi-pass rolling. The casted steel billet that enters the rolling mill arrives with casting defects. Those defects may be porosity due to the shrinkage and cavity or micro-cracks near the surface due to hot tearing. In this work, porosity is considered the main defect source since it can easily be determined experimentally. The damage theory develops a damaged stiffness matrix… More >

  • Open Access

    PROCEEDINGS

    Simulation of Reheating Furnace for Steel Billets by a Meshless Method

    Qingguo Liu1,2, Umut Hanoglu1,2, Božidar Šarler1,2,*

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.27, No.2, pp. 1-1, 2023, DOI:10.32604/icces.2023.09609

    Abstract A simulation of reheating furnace in a steel production line where the steel billets are heated from room temperature up to 1200 ˚C, is carried out using a novel meshless solution procedure. The reheating of the steel billets before the continuous hot-rolling process should be employed to dissolve alloying elements as much as possible and redistribute the carbon. In this work, governing equations are solved by the local radial basis function collocation method (LRBFCM) in a strong form with explicit time-stepping. The solution of the diffusion equations for the temperature and carbon concentration fields is… More >

  • Open Access

    ARTICLE

    Hybridized Intelligent Neural Network Optimization Model for Forecasting Prices of Rubber in Malaysia

    Shehab Abdulhabib Alzaeemi1, Saratha Sathasivam2,*, Majid Khan bin Majahar Ali2, K. G. Tay1, Muraly Velavan3

    Computer Systems Science and Engineering, Vol.47, No.2, pp. 1471-1491, 2023, DOI:10.32604/csse.2023.037366 - 28 July 2023

    Abstract Rubber producers, consumers, traders, and those who are involved in the rubber industry face major risks of rubber price fluctuations. As a result, decision-makers are required to make an accurate estimation of the price of rubber. This paper aims to propose hybrid intelligent models, which can be utilized to forecast the price of rubber in Malaysia by employing monthly Malaysia’s rubber pricing data, spanning from January 2016 to March 2021. The projected hybrid model consists of different algorithms with the symbolic Radial Basis Functions Neural Network k-Satisfiability Logic Mining (RBFNN-kSAT). These algorithms, including Grey Wolf… More >

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