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Stable iterative hybrid method for the solution of weak nonlinear parabolic differential equations

Author

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  • Neundorf, W.
  • Schoenefeld, Re.

Abstract

In the hybrid computer solution of a parabolic differential equation the equation may be approximated by a set of coupled ordinary differential equations, one equation for each spatial station. The set is integrated by the analog computer one equation (or one group of equations) at a time in a serial fashion using a relaxation technique and employing the digital computer for function storage and playback. By using the iterative time-sharing computation of this class of equations the authors have received new general results.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:matcom:v:22:y:1980:i:1:p:1-6
    DOI: 10.1016/0378-4754(80)90094-4
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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. Miura, Takeo & Iwata, Junzo, 1963. "Time-sharing computation utilizing analog memory," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 5(3), pages 141-149.
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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.
    2. Neundorf, Werner, 1981. "Iterative block methods for the hybrid computer solution of the method of lines," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 23(2), pages 142-148.

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