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An improved element-free Galerkin method for numerical modeling of the biological population problems

机译:改进的无元素Galerkin方法用于生物种群问题的数值模拟

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摘要

A numerical study is performed for degenerate parabolic equations arising from the spatial diffusion of biological populations based on the improved element-free Galerkin (IEFG) method. Using the IEFG technique, a discrete equation system for the biological problem is derived via the Galerkin procedure, and the penalty method is employed to impose the essential boundary conditions. In this study, the applicability of the IEFG method for biological population problems is examined through a number of numerical examples. In general, the initial and boundary conditions of the biological population problems are time dependent; therefore, it is necessary to carry out convergence studies by varying the number of nodes and time steps in order to establish the convergent solutions. The IEFG solutions obtained for the examples are compared with the results reported in the extant literature and they found to be in close agreement.
机译:基于改进的无元素伽勒金(IEFG)方法,对由生物种群的空间扩散引起的简并抛物线方程进行了数值研究。使用IEFG技术,通过Galerkin程序导出了一个针对生物问题的离散方程组,并采用罚分法强加了基本边界条件。在这项研究中,通过许多数值实例检验了IEFG方法在生物种群问题中的适用性。通常,生物种群问题的初始条件和边界条件是时间依赖性的。因此,有必要通过改变节点数量和时间步长来进行收敛研究,以建立收敛解。将实施例获得的IEFG溶液与现有文献中报道的结果进行比较,发现它们是非常一致的。

著录项

  • 来源
    《Engineering analysis with boundary elements》 |2014年第3期|181-188|共8页
  • 作者

    L.W. Zhang; Y.J. Deng; K.M. Liew;

  • 作者单位

    College of Information Technology, Shanghai Ocean University, Shanghai 201306, PR China,Department of Civil and Architectural Engineering, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong;

    Department of Civil and Architectural Engineering, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong,Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, PR China;

    Department of Civil and Architectural Engineering, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong,City University of Hong Kong Shenzhen Research Institute Building, 8 Yuexing 1st Road, Shenzhen Hi-Tech Industrial Park, Nanshan District, Shenzhen, PR China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Improved moving least-square; approximation; Improved element-free Calerkin method; Biological population equation;

    机译:改进了移动最小二乘;近似;改进的无元素Calerkin方法;生物种群方程;

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