Exact solution of the problem of diffuse reflection and transmission by the method of Laplace transform and linear singular operators |
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| Authors: | Rabindra Nath Das |
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| Institution: | (1) Takipur, West Bengal, India |
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| Abstract: | The basic integro-differential equation is subjected to a one-sided finite Laplace transform to obtain linear integral equations of angular distribution of bounding faces. These linear integral equations have been transformed into linear singular integral equations which have been solved exactly to get the emergent distributions from the bounding faces by the theory of linear singular operators. Some solutions of linear singular integral equations have also been derived for future use in radiative transfer problems. |
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