Solving parabolic PDE's by a decomposition method

František Zbořil

Mathematics and Computers in Simulation (MATCOM), 1979, vol. 21, issue 3, 263-269

Abstract: The paper deals with the application of the hybrid method of decomposition for the solution of two-dimensional parabolic partial differential equations with constant coefficients. The convergence and accuracy of the CSDT method are analysed, deriving the form of the relationship between ‘eigenvalues’ and the time step. Theoretical problems of this method of decomposition are mentioned. Also, the expression for computing the coefficients for various types of boundary problems has been derived. Practical applications of the method are presented. The cubic spline function interpolation is used for the continuous signal reproduction in the hybrid system. Some results obtained are presented at the end.

Date: 1979
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:21:y:1979:i:3:p:263-269

DOI: 10.1016/0378-4754(79)90071-5

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