Geodesic
Application of the modified boundary element method for the solution of parabolic problems
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 125 (2011) no. 4, pp. 93-101 Cet article a éte moissonné depuis la source Math-Net.Ru

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An algorithm for finding numerically-analytical solution of parabolic problems (diffusion and heat conduction) is proposed. The problem is solved by the proposed algorithm in three steps. At the first step the one-dimensional problem is solved for a base interval of integration. This problem is of independent significance as well as the basis for the second step. At the second step the two-dimensional parabolic problem is considered. Its solution is performed using the modified boundary elements method. At the third step, the method of step-by-step integration over time is used.
Keywords: linear parabolic equation, modified boundary element method, numerical-analytical integration. 
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V. P. Fedotov; O. A. Nefedova. Application of the modified boundary element method for the solution of parabolic problems. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 125 (2011) no. 4, pp. 93-101. http://geodesic.mathdoc.fr/item/VSGTU_2011_125_4_a11/

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