Legendre Neural Network Method for Solving Nonlinear Singular Systems

Abstract

Legendre Neural Network Method was utilized in this research work to investigate time invariant and time varying nonlinear singular systems. The researchers attained the results from different methods such as RK-Butcher 26algorithms, Legendre Neural Network Method and Singe-Term Walsh Series (STWS) and compared it against the analytical solution of time invariant and time varying nonlinear singular systems. From the comparison, it was inferred that the solution produced by Legendre Neural Network Method is nearby the analytical solution of nonlinear singular systems. One can easily simulate Legendre Neural Network Method in MATLAB. Further, one can obtain the solution for any length of time in time-invariant and time-varying nonlinear singular systems