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Abstract

From a computational perspective the diffusion equation contains the same dissipative mechanism as is found in flow problems with significant viscous or heat conduction effects. Consequently computational techniques that are effective for the diffusion equation will provide guidance in choosing appropriate algorithms for viscous fluid flow (Chaps. 15–18).

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References

  • Beam, R.M., Warming, R.F. (1979): “An Implicit Factored Scheme for the Compressible Navier-Stokes Equations II: The Numerical ODE Connection,” AIAA Paper 79–1446

    Google Scholar 

  • Dahlquist, G. (1963): BIT 3, 27–43

    Article  MathSciNet  MATH  Google Scholar 

  • Gear, C.W. (1971): Numerical Initial Value Problems in Ordinary Differential Equations ( Prentice-Hall, Englewood Cliffs, N.J. )

    MATH  Google Scholar 

  • Holt, M. (1984): Numerical Methods in Fluid Dynamics, 2nd ed., Springer Ser. Comput. Phys. (Springer, Berlin, Heidelberg )

    Book  Google Scholar 

  • Lambert, J.D. (1973): Computational Methods in Ordinary Differential Equations ( Wiley, Chichester )

    MATH  Google Scholar 

  • Mitchell, A.R., Griffiths, D.F. (1980): The Finite Difference Method in Partial Differential Equations ( Wiley-Interscience, New York )

    MATH  Google Scholar 

  • Noye, B.J. (1983): In Numerical Solution of Differential Equations, ed. by J. Noye ( North-Holland, Amsterdam )

    Google Scholar 

  • Ortega, J.M., Voigt, R.G. (1985): SIAM Rev. 27, 149–240

    Article  MathSciNet  MATH  Google Scholar 

  • Richtmyer, R.D., Morton, K.W. (1967): Difference Methods for Initial-Value Problems ( Interscience, New York )

    MATH  Google Scholar 

  • Seward, W.L., Fairweather, G., Johnston, R.L. (1984): IMA J. Numer. Anal. 4, 375–425

    Article  MathSciNet  MATH  Google Scholar 

  • Trapp, J.A., Ramshaw, J.D. (1976): J. Comput. Phys. 20, 238–242

    Article  MathSciNet  ADS  MATH  Google Scholar 

  • Widlund, O.B. (1967): BIT 7, 65–70

    Article  MathSciNet  MATH  Google Scholar 

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© 1988 Springer-Verlag Berlin Heidelberg

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Fletcher, C.A.J. (1988). One-Dimensional Diffusion Equation. In: Computational Techniques for Fluid Dynamics 1. Springer Series in Computational Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-97035-1_7

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  • DOI: https://doi.org/10.1007/978-3-642-97035-1_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-97037-5

  • Online ISBN: 978-3-642-97035-1

  • eBook Packages: Springer Book Archive

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