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

Initial temperature profile recovery under a mixed boundary condition

Young Hwan You

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:
Key Words:
DOI: 10.58997/ejde.conf.27.y1

Show me the PDF file (304 K), TEX file for this article.

Young Hwan You
Department of Mathematics
Indiana University East
2325 Chester Blvd
Richmond, IN 47374, USA
email: youy@iu.edu

Return to the table of contents for this conference.
Return to the EJDE web page