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Accession Number:
AD0481845
Title:
SOLUTION OF VARIATIONAL PROBLEMS BY MEANS OF A GENERALIZED NEWTON-RAPHSON OPERATOR.
Corporate Author:
GRUMMAN AIRCRAFT ENGINEERING CORP BETHPAGE NY RESEARCH DEPT
Report Date:
1964-05-01
Abstract:
This paper presents the development of an indirect method for solving variational problems by means of an algorithm for obtaining the solution to the associated nonlinear two-point boundary value problem. The method departs from the usual indirect procedure of successively integrating the nonlinear equations and adjusting arbitrary initial conditions until the remaining boundary conditions are satisfied. Instead, an operator is introduced which produces a sequence of sets of functions which satisfy the boundary conditions but in general do not satisfy the nonlinear system formed by the state equations and the Euler-Lagrange equations. Under appropriate conditions this sequence converges uniformly and rapidly quadratically to the solution of the nonlinear boundary value problem. The computational effectiveness of the algorithm is demonstrated by three numerical examples. Author
Descriptive Note:
Research rept.,
Pages:
0028
Contract Number:
AF 49(638)-1207
Contract Number 2:
NAS8-1549
File Size:
0.00MB
