[1]陈秀华.一种新的海水渗流模型及其数值算法[J].南京师范大学学报(工程技术版),2013,13(03):089-92.
　Chen Xiuhua.A New Mathematical Model and Numerical Simulation for Sea Water Intrusion into Coastal Aquifers[J].Journal of Nanjing Normal University(Engineering and Technology),2013,13(03):089-92.
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一种新的海水渗流模型及其数值算法
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南京师范大学学报（工程技术版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
13卷
期数:
2013年03期
页码:
089-92
栏目:
出版日期:
2013-09-30

文章信息/Info

Title:
A New Mathematical Model and Numerical Simulation for Sea Water Intrusion into Coastal Aquifers
作者:
陈秀华
福建船政交通职业学院公共教学部,福建 福州 350007
Author(s):
Chen Xiuhua
Department of Basic Courses,Fujian Chuanzheng Communications College,Fuzhou 350007,China
关键词:
反常扩散; 数学模型; 数值模拟
Keywords:
anomalous diffusion; mathematical model; numerical simulation
分类号:
TB115
文献标志码:
A
摘要:
反常扩散通常用于模拟物理、金融和水文等各种现象,整数阶扩散方程不能准确地模拟这类反常扩散过程.本文研究了溶质入侵地下水层的特征,建立了海水渗入地下水层的反常扩散模型,将整数阶的导数用分数阶导数来替换,利用差分离散建立此模型的数值算法,证明了算法的收敛性,并给出数值例子,通过计算机模拟表明算法的有效性.
Abstract:
Anomalous diffusion has been applied to many problems in physics,finance and hydrology.Integer differential equations cannot correctly simulate the anomalous diffusion phenomena.In this paper,the characteristic of solutes transport in groundwater is described.We give a new mathematical model for saltwater intrusion into coastal aquifers replacing the integeral derivative by a fractional derivative.We derive the numerical algorithm for the mathematical model by using difference discrete.Convergence of the algorithm is proved.Finally,numerical example is presented to show the effectiveness of this algorithm.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期:2013-03-27.
基金项目:福建省教育厅科技项目(JA10284)、2010年福建省交通科技发展项目(201011).
通讯联系人:陈秀华,副教授,研究方向:数学建模及计算机优化算法的研究.E-mail:xhchen_fz@qq.com
更新日期/Last Update: 2013-09-30