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Geomechanics and Engineering Volume 25, Number 4, May25 2021 , pages 267-273 DOI: https://doi.org/10.12989/gae.2021.25.4.267 |
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A photo-thermal interaction in semi-conductor medium with cylindrical cavity by analytical and numerical methods |
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Ibrahim A. Abbas
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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. | ||
| Key Words | ||
| Laplace transforms; finite difference method; semi-conductor mediums; cylindrical cavity; eigenvalue method | ||
| Address | ||
| Ibrahim A. Abbas: Department of mathematics, Faculty of Science, Sohag University, Sohag, Egypt | ||