
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