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Part of the book series: Lecture Notes in Engineering ((LNENG,volume 41))

Abstract

The major purpose of the present chapter is to demonstrate the use of the volume integral method in deriving accurate, stable, and physically realistic difference equations from ordinary differential equations. A secondary purpose is to develop the proper ideas and procedures for later use in deriving difference equations from partial differential equations.

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References

  • Howarth, L., 1938, On the Solution of the Laminar Boundary Layer Equations, Proc. Roy. Soc., London A, 164, 547.

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  • Lagerstrom, P.A., 1961, Methodes Asymptotiques pour L’etude des Equations de Navier-Stokes, Lecture Notes, Institut Henri Poincare, Paris.

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© 1989 Springer-Verlag Berlin, Heidelberg

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Lick, W.J. (1989). Ordinary Differential Equations. In: Difference Equations from Differential Equations. Lecture Notes in Engineering, vol 41. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83701-2_1

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  • DOI: https://doi.org/10.1007/978-3-642-83701-2_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50739-0

  • Online ISBN: 978-3-642-83701-2

  • eBook Packages: Springer Book Archive

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