On the homotopy analysis method for solving a particle transport equation |
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Authors: | Olga Martin |
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Institution: | Applied Sciences Faculty, University “Politehnica” of Bucharest, Romania |
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Abstract: | The purpose of this paper consists in the finding of the solution for a stationary neutron transport equation that is accompanied by the homogeneous boundary conditions, using the techniques of homotopy analysis method (HAM) and a numerical integration formula. Also, algorithm presented can be used for solving the integral–differential equations in which the unknown function depends on two variables, such as a radiative transfer equation. Results of a numerical example illustrate the accuracy and computational efficiency of the new proposed method. |
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Keywords: | Integro-differential equation Neutron transport equation Radiative transfer problem Homotopy Numerical integration Errors |
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