Solving an Inverse Heat Conduction Problem by Spline Method

Abstract

In this paper, a numerical solution of an inverse non-dimensional heat conduction problem by spline method will be considered. The given heat conduction equation, the boundary condition, and the initial condition are presented in a dimensionless form. A set of temperature measurements at a single sensor location inside the heat conduction body is required. The result show that the proposed method can predict the unknown parameters in the current inverse problem with an acceptable error.