10.71932/

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

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  • Muhammad Arghand1,
  1. Department of Mathematics, Islamic Azad University, South Tehran Branch, Tehran, Iran.

Published in Issue 14-07-2025

Copyright (c) 2025 Muhammad Arghand (Author)

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Arghand, M. (2025). Determination of a Source Term in an Inverse Heat Conduction Problem by Radial Basis Functions. International Journal of Mathematical Modelling & Computations, 7(3). https://doi.org/10.71932/
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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 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.

Keywords

  • Radial basis functions,
  • Direct heat conduction problem,
  • Inverse heat conduction problem,
  • heat equation
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