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Contraction mapping techniques applied to the hybrid computer solution of parabolic PDE's

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  • Lawson, P.A.

Abstract

Using contraction mapping techniques a proof is given of the convergence of the discrete-space-continuous-time (DSCT) hybrid computer method of solution of the one-dimensional constant coefficients heat equation. Numerical results are given for a particular choice of initial temperature distribution and boundary conditions.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:matcom:v:23:y:1981:i:3:p:299-303
    DOI: 10.1016/0378-4754(81)90088-4
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    References listed on IDEAS

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    1. Petrov, Andrey A., 1975. "A differential-difference technique for the hybrid computer solution of parabolic partial differential equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 17(2), pages 104-109.
    2. Zbořil, František, 1979. "Solving parabolic PDE's by a decomposition method," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 21(3), pages 263-269.
    3. Neundorf, W. & Schoenefeld, Re., 1980. "Stable iterative hybrid method for the solution of weak nonlinear parabolic differential equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 22(1), pages 1-6.
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