loading page

Weak solution to a Robin problem of anomalous diffusion equations: uniqueness and stable algorithm for the TPC system
  • Dinghua XU,
  • Peng Peng
Dinghua XU
Zhejiang Sci-Tech University

Corresponding Author:[email protected]

Author Profile
Peng Peng
Zhejiang Sci-Tech University
Author Profile


A Riemann-Liouville fractional Robin boundary-value problem is proposed to describe the fast heat transfer law both within isotropic materials and through the boundary of the materials in high temperature environment. The variational formulation of the fractional model is given, and further the energy estimation of the weak solution is deduced. The uniqueness theorem of weak solution is proved. A valid finite difference scheme is developed for the fractional model and numerical experiment is implemented. Numerical results indicate that the fractional model is applicable to discover the thermal superdiffusion in the thermal protective clothing(TPC) system and numerical algorithms are effective to improve the intelligence of TPC design.
02 Mar 2022Submitted to Mathematical Methods in the Applied Sciences
03 Mar 2022Submission Checks Completed
03 Mar 2022Assigned to Editor
23 Mar 2022Reviewer(s) Assigned
15 Jun 2022Review(s) Completed, Editorial Evaluation Pending
26 Jun 2022Editorial Decision: Revise Major
28 Aug 20221st Revision Received
29 Aug 2022Submission Checks Completed
29 Aug 2022Assigned to Editor
11 Sep 2022Reviewer(s) Assigned
19 Sep 2022Review(s) Completed, Editorial Evaluation Pending
24 Sep 2022Editorial Decision: Accept