Title :
Analog Solutions of Nonlinear Boundary-Value Problems by the Continuation Method
Author :
Wasserstorm, E. ; Kirszenblat, Albert
Author_Institution :
Department of Aeronautical Engineering, Technion-Israel Institute of Technology
Abstract :
The analog solution of nonlinear two-point boundary-value problems by the noniterative continuation method is described. It is shown that a two-point boundary-value problem can be reformulated as a rather complicated initial-value problem. The solution of this latter problem is demonstrated for a simple example, on a modern analog computer with fast repetitive mode. A special emphasis is put on the comparison between continuation and iteration methods.
Keywords :
Analog simulation, continuation method, two-point boundary-value problems.; Aerospace engineering; Analog computers; Application software; Boundary conditions; Computational modeling; Computer simulation; Differential equations; Heart; Optimal control; Physics; Analog simulation, continuation method, two-point boundary-value problems.;
Journal_Title :
Computers, IEEE Transactions on
DOI :
10.1109/T-C.1973.223632