Title :
Solving a nonlinear two-point boundary value problem
Author_Institution :
Texas Tech. Univ., Lubbock, TX, USA
Abstract :
A two-point boundary value problem (TP-BVP) occurs during the process of solving a single differential equation or a set of differential equations whose solution has to satisfy both the given initial and final boundary conditions. The author shows that zeroing the discrepancy function is the crucial step in solving nonlinear TP-BVPs and uses M.P. Kennedy and L.O. Chua´s (1988) neural network model to solve this problem. The advantages of this approach include its suitability for VLSI implementation
Keywords :
boundary-value problems; differential equations; neural nets; differential equation; discrepancy function; neural network; nonlinear two-point boundary value problem; Boundary conditions; Boundary value problems; Computer science; Differential equations; Educational institutions; Mathematical model; Neural networks; Nonlinear equations; Partial differential equations; Trajectory;
Conference_Titel :
Systems, Man and Cybernetics, 1992., IEEE International Conference on
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-0720-8
DOI :
10.1109/ICSMC.1992.271655
