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A New Mathematical Model and Numerical Simulation for Sea Water Intrusion into Coastal Aquifers(PDF)

南京师范大学学报（工程技术版）[ISSN:1006-6977/CN:61-1281/TN]

Issue:
2013年03期
Page:
89-92
Research Field:
Publishing date:

Info

Title:
A New Mathematical Model and Numerical Simulation for Sea Water Intrusion into Coastal Aquifers
Author(s):
Chen Xiuhua
Department of Basic Courses,Fujian Chuanzheng Communications College,Fuzhou 350007,China
Keywords:
anomalous diffusion; mathematical model; numerical simulation
PACS:
TB115
DOI:
-
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.

References:

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Last Update: 2013-09-30