Application of Legendre Neural Network for solving ordinary differential equations

- Numerical solution of ordinary differential equations using Legendre polynomial based Functional Link Artificial Neural Network (FLANN).
- It is a single layer neural network, so number of parameters is less than MLP and the hidden layer is eliminated by expanding the input pattern by Legendre polynomials.
- Unsupervised back propagation algorithm is used here.
- Obtained results are compared with the existing methods, plots and tables to show the powerfulness of the methodology.