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利用Adomian分解方法求非线性反常次扩散方程近似解
An Approximate Solution for the Non-linear Anomalous Subdiffusion Equation Using the Adomian Decomposition Method

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利用Adomian分解方法求非线性反常次扩散方程近似....pdf (393.8Kb)
Date
2007-07-15
Author
宋吉茜
刘发旺
庄平辉
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  • 数学科学-已发表论文 [2662]
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Abstract
对于反常次扩散的一个物理-数学逼近是基于一个包含分数阶导数的一般扩散方程.分数阶核方程已经证明在反常慢扩散(次扩散)情况下特别有用.但是,有效的求解非线性反常次扩散方程的方法仍然处于初期阶段.文中对非线性反常次扩散方程进行了研究,利用Adomian分解方法构造一个近似解,并给出一些数值例子来说明这个方法的有效性和简单性.
 
A physical-mathematical approach to anomalous diffusion is based on a generalized diffusion equation containing derivatives of fractional order.Fractional kinetic equations have proved particularly useful in the context of anomalous slow diffusion(subdiffusion).However,effective methods for the non-linear anomalous subdiffusion equation(NA-SubE) are still in their infancy.In this paper,NA-SubE was considered and an approximate solution was constructed by using Adomian decomposition method.Some examples were presented to show the efficiency and simplicity of the method.
 
Citation
厦门大学学报(自然科学版),2007,(04):31-35
URI
https://dspace.xmu.edu.cn/handle/2288/154760

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