Recovering source term of the time-fractional diffusion equation

被引：0
|
作者：
Mohammad Partohaghighi
Esra Karatas Akgül
Gerhard-Wilhelm Weber
Guangming Yao
Ali Akgül
机构：
[1] Clarkson University,Department of Mathematics
[2] Siirt University,Department of Mathematics, Art and Science Faculty
[3] Poznan University of Technology,Faculty of Engineering Management
来源：
Pramana | 2021年 / 95卷
关键词：
Inverse problems; optimisation; engineering; iterative method; fractional diffusion equation; energy boundary functions; 51.20.+d;
D O I：
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摘要：
In this paper, a computational approach is suggested to obtain unknown space–time-dependent source term of the fractional diffusion equations. We assign a time-dependent source term and a linear space with the zero components which represent a series of boundary functions. In linear space, an energy border functional equation is obtained. After that, some numerical examples are provided to verify the accuracy of the method. Also, two tables are presented to display the values of solutions.
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