Geomechanics and Engineering

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A photo-thermal interaction in semi-conductor medium with cylindrical cavity by analytical and numerical methods

  • Abbas, Ibrahim A. (Department of mathematics, Faculty of Science, Sohag University)
  • Received : 2021.03.03
  • Accepted : 2021.04.27
  • Published : 2021.05.25
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Abstract

In this work, we compare the analytical solutions with the numerical solutions for photothermal interactions in semiconductor medium containing cylindrical cavity. This paper is devoted to a study of the photothermal interactions in semiconductor medium in the context of the coupled photo-thermal model. The basic equations are formulated in the domain of Laplace transform and the eigenvalue scheme are used to get the analytical solutions. The numerical solution is obtained by using the implicit finite difference method (IFDM). A comparison between the analytical solution and the numerical solutions are obtained. It is found that the implicit finite difference method (IFDM) is applicable, simple and efficient for such problems.

Keywords

Acknowledgement

This work was funded by the Academy of Scientific Research and Technology, Egypt, under Science UP grant No. (6473). The authors, therefore, acknowledge with thanks the Academy of Scientific Research and Technology for financial support.

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