A Cauchy Method for an Integral Equation of Linearized Couette Flow

J. L. Casti, Robert E. Kalaba, D. R. Willis

ResearchPublished 1969

A demonstration of the use of the theory of invariant imbedding to reduce the solution of a Fredholm integral equation to the solution of a set of ordinary differential equations with specified initial values. Various investigations in rarefied-gas dynamics require the solution of Fredholm integral equations with displacement kernels, and application of the invariant imbedding approach is useful. One important aspect of the approach is that a solution may be obtained at the boundaries only, disregarding the interior, with a significant saving in computational time and trouble.

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  • Copyright: RAND Corporation
  • Availability: Available
  • Year: 1969
  • Print Format: Paperback
  • Paperback Pages: 31
  • Paperback Price: $20.00
  • DOI: https://doi.org/10.7249/RM6050
  • Document Number: RM-6050-PR

Citation

RAND Style Manual
Casti, J. L., Robert E. Kalaba, and D. R. Willis, A Cauchy Method for an Integral Equation of Linearized Couette Flow, RAND Corporation, RM-6050-PR, 1969. As of September 5, 2024: https://www.rand.org/pubs/research_memoranda/RM6050.html
Chicago Manual of Style
Casti, J. L., Robert E. Kalaba, and D. R. Willis, A Cauchy Method for an Integral Equation of Linearized Couette Flow. Santa Monica, CA: RAND Corporation, 1969. https://www.rand.org/pubs/research_memoranda/RM6050.html. Also available in print form.
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