A Point Source Identification Problem for a Time Fractional Diffusion Equation
A Point Source Identification Problem for a Time Fractional Diffusion Equation
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DOI：
10.1155/2013/485273
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发表时间：
2013-12
影响因子：
1.2
通讯作者：
Xiao-Mei Yang;Z. Deng
中科院分区：
文献类型：
--
作者：
Xiao-Mei Yang;Z. Deng
讨论了一类时间分数阶扩散方程的源识别反问题。未知的热源被认为是空间依赖的。基于绿色函数的使用，一个有效的数值算法来恢复的强度和位置的未知点源从最终的测量。数值结果表明，该方法是有效的和准确的。
An inverse source identification problem for a time fractional diffusion equation is discussed. The unknown heat source is supposed to be space dependent only. Based on the use of Green’s function, an effective numerical algorithm is developed to recover both the intensities and locations of unknown point sources from final measurements. Numerical results indicate that the proposed method is efficient and accurate.