A Meshless Method of Solving Three-Dimensional Nonstationary Heat Conduction Problems in Anisotropic Materials |
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Authors: | Protektor D O Kolodyazhny V M Lisin D O Lisina O Yu |
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Affiliation: | 1.V. N. Karazin Kharkiv National University, Kharkiv, Ukraine ;2.Kharkiv National Automobile and Highway University, Kharkiv, Ukraine ; |
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Abstract: | The authors describe a meshless method for solving three-dimensional nonstationary heat conduction problems in anisotropic materials. A combination of dual reciprocity method using anisotropic radial basis function and method of fundamental solutions is used to solve the boundary-value problem. The method of fundamental solutions is used to obtain the homogenous part of the solution; the dual reciprocity method with the use of anisotropic radial basis functions allows obtaining a partial solution. The article shows the results of numerical solutions of two benchmark problems obtained by the developed numerical method; average relative, average absolute, and maximum errors are calculated. |
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