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

Document Type: Full Length Article

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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 Di erential 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.

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