Determination of a Source Term in an Inverse Heat Conduction Problem by Radial Basis Functions

Subject Areas : International Journal of Mathematical Modelling & Computations

Muhammad Arghand ¹

1 -

Received: 2017-01-11 Accepted : 2017-09-25 Published : 2017-08-01

Keywords: Radial basis functions, ‎Direct heat conduction problem, Inverse heat conduction problem, ‎ ‎heat equation,

Abstract :

In this paper, we propose a technique for determining a source term in an inverse heat conduction problem (IHCP) using Radial Basis Functions (RBFs). Because of being very suitable instruments, the RBFs have been applied for solving Partial Dierential Equations (PDEs) by some researchers. In the current study, a stable meshless method will be pro- posed for solving an (IHCP). The other advantage of the method is that can be applied to the problems with various types of boundary conditions. The results of numerical experiments are presented and compared with analytical solutions. The results demonstrate the reliability and efficiency of the proposed scheme.