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Solving parabolic PDE's by a decomposition method

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  • Zbořil, František

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.

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  • Zbořil, František, 1979. "Solving parabolic PDE's by a decomposition method," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 21(3), pages 263-269.
    • Handle: RePEc:eee:matcom:v:21:y:1979:i:3:p:263-269
    DOI: 10.1016/0378-4754(79)90071-5
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    Cited by:

    1. Lawson, P.A., 1981. "Contraction mapping techniques applied to the hybrid computer solution of parabolic PDE's," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 23(3), pages 299-303.

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