Damghan University Press Analytical and Numerical Solutions for Nonlinear Equations 3060-785X 2 1 2017 05 01 Solving an Inverse Heat Conduction Problem by Spline Method عنوان 23 31 70 10.22128/gadm.2017.70 EN Hassan Dana Mazraeh School of Mathematics and Computer Science, Damghan University, P.O. Box 36715-364, Damghan, Iran. Journal Article 2016 07 10 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. Inverse heat conduction problem Spline method Finite difference method Tikhonov regularization method https://ansne.du.ac.ir/article_70_fa9f6ef52a888e8048fe4d379a62b969.pdf