Accession Number : AD0776274

Title :   On the Multiplicity of Solutions of a Differential Equation Arising in Chemical Reactor Theory.

Descriptive Note : Technical rept.,

Corporate Author : WISCONSIN UNIV MADISON DEPT OF COMPUTER SCIENCES

Personal Author(s) : Parter,Seymour V. ; Stein,Myron L. ; Stein,Paul R.

Report Date : NOV 1973

Pagination or Media Count : 34

Abstract : Consider the boundary value problem y double prime + 1/x y' + beta exp (- 1//y/) = 0, y'(0) = y(1) = tau where beta > or = 0, tau > or = 0. The authors are concerned with a mathematically rigorous numerical study of the number of solutions in any bounded portion of the positive quadrant (tau > or = 0, beta > or = 0) of the tau, beta plane. These correct computational results may then be matched with asymptotic (beta nears infinity, tau > or = 0) results developed earlier. (Modified author abstract)

Descriptors :   *Boundary value problems, Differential equations, Numerical analysis, Computations, Theorems

Subject Categories : Physical Chemistry
      Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE