Application of Meshless Methods for Solving an Inverse Heat Conduction Problem.

In this paper, we consider the inverse problem of determining the unknown temperature at x = 0 and section of initial condition at t = 0 in an inverse heat conduction problem (IHCP). Two new numerical methods are developed by using the solution of an auxiliary problem and heat polynomials as basis functions in presence of noisy data. Due to ill-posed IHCP, we use the Tikhonov regularization technique with the GCV scheme to solve the resulting matrix system of the basis function methods (BFM). Some numerical examples are presented to illustrate the strength of the methods. [ABSTRACT FROM AUTHOR]