The objective of this paper is to use Neural Networks for solving boundary value problems (BVPs) in Ordinary Differential Equations (ODEs). The Neural networks use the principle of Back propagation. Five examples are considered to show effectiveness of using the shooting techniques and neural network for solving the BVPs in ODEs. The convergence properties of the technique, which depend on the convergence of the integration technique and accuracy of the interpolation technique are considered.
Ibraheem, Kais I. and Khalaf, Bashir M.
Shooting Neural Networks Algorithm for Solving Boundary Value Problems in ODEs,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 6,
1, Article 15.
Available at: https://digitalcommons.pvamu.edu/aam/vol6/iss1/15