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一种新的海水渗流模型及其数值算法

, PP. 89-92

Keywords: 反常扩散,数学模型,数值模拟

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Abstract:

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.

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