Simultaneous inversion for the space-dependent diffusion coefficient and the fractional order in the time-fractional diffusion equation

Inverse Problems ◽

10.1088/0266-5611/29/6/065014 ◽

2013 ◽

Vol 29 (6) ◽

pp. 065014 ◽

Author(s):

Gongsheng Li ◽

Dali Zhang ◽

Xianzheng Jia ◽

Masahiro Yamamoto

Keyword(s):

Diffusion Coefficient ◽

Diffusion Equation ◽

Fractional Order ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Simultaneous Inversion ◽

Time Fractional Diffusion Equation

Download Full-text

Simultaneous inversion of the fractional order and the space-dependent source term for the time-fractional diffusion equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2018.01.025 ◽

2018 ◽

Vol 328 ◽

pp. 365-379 ◽

Author(s):

Zhousheng Ruan ◽

Wen Zhang ◽

Zewen Wang

Keyword(s):

Diffusion Equation ◽

Fractional Order ◽

Source Term ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Simultaneous Inversion ◽

Time Fractional Diffusion Equation

Download Full-text

Simultaneous Inversion for Space-Dependent Diffusion Coefficient and Source Magnitude in the Time Fractional Diffusion Equation

Journal of Mathematics Research ◽

10.5539/jmr.v5n2p65 ◽

2013 ◽

Vol 5 (2) ◽

Author(s):

Dali Zhang ◽

Gongsheng Li ◽

Xianzheng Jia ◽

Huiling Li

Keyword(s):

Diffusion Coefficient ◽

Diffusion Equation ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Simultaneous Inversion ◽

Time Fractional Diffusion Equation

Download Full-text

Simultaneous inversion of time-dependent source term and fractional order for a time-fractional diffusion equation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.112566 ◽

2020 ◽

Vol 368 ◽

pp. 112566 ◽

Author(s):

Zhousheng Ruan ◽

Sen Zhang

Keyword(s):

Diffusion Equation ◽

Fractional Order ◽

Source Term ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Time Dependent ◽

Simultaneous Inversion ◽

Time Fractional Diffusion Equation

Download Full-text

Numerical Solution to the Space-Time Fractional Diffusion Equation and Inversion for the Space-Dependent Diffusion Coefficient

Journal of Computational and Theoretical Transport ◽

10.1080/23324309.2016.1263667 ◽

2016 ◽

Vol 46 (2) ◽

pp. 122-146 ◽

Author(s):

Guangsheng Chi ◽

Gongsheng Li ◽

Chunlong Sun ◽

Xianzheng Jia

Keyword(s):

Diffusion Coefficient ◽

Diffusion Equation ◽

Numerical Solution ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Time Fractional Diffusion Equation ◽

Download Full-text

Simultaneous inversion for the exponents of the fractional time and space derivatives in the space-time fractional diffusion equation

Applicable Analysis ◽

10.1080/00036811.2014.984291 ◽

2014 ◽

Vol 95 (1) ◽

pp. 1-23 ◽

Author(s):

Salİh Tatar ◽

Ramazan Tınaztepe ◽

Süleyman Ulusoy

Keyword(s):

Diffusion Equation ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Time And Space ◽

Simultaneous Inversion ◽

Time Fractional Diffusion Equation

Download Full-text

Time-fractional diffusion equation with time dependent diffusion coefficient

Physical Review E ◽

10.1103/physreve.72.011107 ◽

2005 ◽

Vol 72 (1) ◽

Author(s):

Kwok Sau Fa ◽

E. K. Lenzi

Keyword(s):

Diffusion Coefficient ◽

Diffusion Equation ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Time Dependent ◽

Time Fractional Diffusion Equation

Download Full-text

Landweber iteration method for simultaneous inversion of the source term and initial data in a time-fractional diffusion equation

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-021-01656-0 ◽

2021 ◽

Author(s):

Jin Wen ◽

Zhuan-Xia Liu ◽

Chong-Wang Yue ◽

Shi-Juan Wang

Keyword(s):

Initial Data ◽

Diffusion Equation ◽

Iteration Method ◽

Source Term ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Simultaneous Inversion ◽

Time Fractional Diffusion Equation

Download Full-text

A fractional-order quasi-reversibility method to a backward problem for the time fractional diffusion equation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113552 ◽

2021 ◽

Vol 394 ◽

pp. 113552

Author(s):

Wanxia Shi ◽

Xiangtuan Xiong ◽

Xuemin Xue

Keyword(s):

Diffusion Equation ◽

Fractional Order ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Backward Problem ◽

Time Fractional Diffusion Equation

Download Full-text

Numerical inversions for space-dependent diffusion coefficient in the time fractional diffusion equation

Journal of Inverse and Ill-Posed Problems ◽

10.1515/jip-2011-0012 ◽

2012 ◽

Vol 20 (3) ◽

Author(s):

Gongsheng Li ◽

Wenjuan Gu ◽

Xianzheng Jia

Keyword(s):

Diffusion Coefficient ◽

Diffusion Equation ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Time Fractional Diffusion Equation

Download Full-text

Numerical Inversion for the Fractional Order in the Variable-Order Time-Fractional Diffusion Equation

Advances in Applied Mathematics ◽

10.12677/aam.2015.44041 ◽

2015 ◽

Vol 04 (04) ◽

pp. 326-335 ◽

Author(s):

迪刘

Keyword(s):

Diffusion Equation ◽

Fractional Order ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Numerical Inversion ◽

Variable Order ◽

Time Fractional Diffusion Equation

Download Full-text