Numerical solution of time-dependent component with sparse structure of source term for a time fractional diffusion equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2018.11.012 ◽

2019 ◽

Vol 77 (5) ◽

pp. 1408-1422 ◽

Author(s):

Zhousheng Ruan ◽

Sen Zhang ◽

Wen Zhang

Keyword(s):

Diffusion Equation ◽

Numerical Solution ◽

Source Term ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Time Dependent ◽

Dependent Component ◽

Time Fractional Diffusion Equation

Download Full-text

Reconstruction of a time-dependent source term in a time-fractional diffusion equation

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2012.08.003 ◽

2013 ◽

Vol 37 (1) ◽

pp. 23-31 ◽

Author(s):

T. Wei ◽

Z.Q. Zhang

Keyword(s):

Diffusion Equation ◽

Source Term ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Time Dependent ◽

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

Identification of the time-dependent source term in a multi-term time-fractional diffusion equation

Numerical Algorithms ◽

10.1007/s11075-019-00654-5 ◽

2019 ◽

Vol 82 (4) ◽

pp. 1279-1301 ◽

Author(s):

Y. S. Li ◽

L. L. Sun ◽

Z. Q. Zhang ◽

T. Wei

Keyword(s):

Diffusion Equation ◽

Source Term ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Time Dependent ◽

Time Fractional Diffusion Equation

Download Full-text

Reconstruction of the temporal component in the source term of a (time-fractional) diffusion equation

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8121/aa763a ◽

2017 ◽

Vol 50 (30) ◽

pp. 305203 ◽

Author(s):

Yikan Liu ◽

Zhidong Zhang

Keyword(s):

Diffusion Equation ◽

Source Term ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

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

Pseudospectral operational matrix for numerical solution of single and multiterm time fractional diffusion equation

TURKISH JOURNAL OF MATHEMATICS ◽

10.3906/mat-1508-3 ◽

2016 ◽

Vol 40 ◽

pp. 1118-1133 ◽

Author(s):

Saeid GHOLAMI ◽

Esmail BABOLIAN ◽

Mohammad JAVIDI

Keyword(s):

Diffusion Equation ◽

Numerical Solution ◽

Operational Matrix ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Time Fractional Diffusion Equation

Download Full-text

Stable numerical solution to a Cauchy problem for a time fractional diffusion equation

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2013.12.002 ◽

2014 ◽

Vol 40 ◽

pp. 128-137 ◽

Author(s):

T. Wei ◽

Z.Q. Zhang

Keyword(s):

Cauchy Problem ◽

Diffusion Equation ◽

Numerical Solution ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

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

Identification of a space-dependent source term in a nonlocal problem for the general time-fractional diffusion equation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2020.113213 ◽

2021 ◽

Vol 386 ◽

pp. 113213

Author(s):

Emilia Bazhlekova ◽

Ivan Bazhlekov

Keyword(s):

Diffusion Equation ◽

Source Term ◽

Nonlocal Problem ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Time Fractional Diffusion Equation ◽

Download Full-text

Numerical reconstruction of the spatial component in the source term of a time-fractional diffusion equation

Advances in Computational Mathematics ◽

10.1007/s10444-020-09754-6 ◽

2020 ◽

Vol 46 (3) ◽

Author(s):

Daijun Jiang ◽

Yikan Liu ◽

Dongling Wang

Keyword(s):

Diffusion Equation ◽

Source Term ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Numerical Reconstruction ◽

Spatial Component ◽

Time Fractional Diffusion Equation

Download Full-text