A Cauchy Method for an Integral Equation of Linearized Couette Flow.

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

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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. 31 pp. Refs. (KB)

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