
Accession Number : AD0691390
Title : INVERSE PROBLEMS IN PARTIAL DIFFERENTIAL EQUATIONS.
Descriptive Note : Technical rept.,
Corporate Author : HOUSTON UNIV TEX CULLEN COLL OF ENGINEERING
Personal Author(s) : Luckinbill,Dennis L. ; Childs,S. Bart
Report Date : AUG 1968
Pagination or Media Count : 100
Abstract : A procedure for identification in partial differential equations is described and illustrated by the Laplace equation and the unsteady heat conduction equation. The procedure for solution involves the substitution of difference operators for the partial derivatives with respect to all but one of the independent variables. The linear boundary value problem is solved by superposition of particular solutions. For nonlinear boundary value problems which arise from the original form of the equation or from the identification procedure, a NewtonRaphsonKantorovich expansion in function space is used to reduce the solution to an iterative procedure of solving linear boundary value problems. For the problems considered, this procedure has proven to be effective and results in a reasonable approximation to the solution of the boundary value problem in partial differential equations. For the identification problem, it is shown that the constant parameters are identified to the same accuracy as the supplementary data used in the identification procedure. (Author)
Descriptors : (*PARTIAL DIFFERENTIAL EQUATIONS, *NUMERICAL ANALYSIS), BOUNDARY VALUE PROBLEMS, DIFFERENTIAL EQUATIONS, ITERATIONS, CONDUCTION(HEAT TRANSFER), THESES
Subject Categories : Numerical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE