Third International Conference on Applications of Mathematics to Nonlinear Sciences.
Electron. J. Diff. Eqns., conf. 27 (2024), pp. 97-103.

Title: Initial temperature profile recovery under a mixed boundary condition

Author: Young Hwan You (Indiana Univ. East, Richmond, IN, USA)
 
Abstract: 
The challenge of finding the initial temperature distribution (profile) has 
been addressed for different boundary conditions. Previous studies 
studied this problem under Dirichlet [2,6], Neumann [12], 
and periodic [11]. This article focuses on the problem with mixed 
boundary conditions. We consider a one-dimensional body
where temperatures are measured at a specific location x_0 and at a 
finite number of increasing future time points in a bounded interval.

Published August 20, 2024.
Math Subject Classifications: 35K05, 35K99, 41A27.
Key Words: Initial Temperature profile; mixed boundary condition;   temperature measurement; linear time growth; optimal error.