Title :
A method of iteration for boundary value solution of ordinary differential equations
Author_Institution :
Shibaura Institute of Technology, Omiya, Japan
fDate :
1/1/1987 12:00:00 AM
Abstract :
A globally stable iterative search algorithm for finding the unknown initial values in the two-point boundary-value problem (TPBVP) arising in ordinary differential equations has been developed. The problem can be embedded in a discrete-time feedback control system, the steady state of which is the required solution. Algorithms are found through the construction of globally stable digital controllers.
Keywords :
Discrete-time systems; Newton-Raphson methods; Nonlinear differential equations; Search methods; Boundary conditions; Control systems; Differential equations; Digital control; Electrical equipment industry; Feedback control; Iterative algorithms; Jacobian matrices; Linear feedback control systems; Steady-state;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1987.1104429
