Accession Number : AD0690497

Title :   A CAUCHY METHOD FOR AN INTEGRAL EQUATION OF LINEARIZED COUETTE FLOW,

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Casti,J. L. ; Kalaba,R. E. ; Willis,D. R.

Report Date : JUN 1969

Pagination or Media Count : 29

Abstract : The report demonstrates 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 savings in computational time and trouble. (Author)

Descriptors :   (*COUETTE FLOW, INTEGRAL EQUATIONS), (*INTEGRAL EQUATIONS, TRANSFORMATIONS(MATHEMATICS)), (*CAUCHY PROBLEM, NUMERICAL ANALYSIS), COMPUTER PROGRAMMING, BOUNDARY VALUE PROBLEMS, NUMERICAL INTEGRATION

Subject Categories : Numerical Mathematics
      Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE