Stochastic approach for solution of Nonlinear singular perturbed system through ANNs Model

  • Farhat Hussain Bazmi , Muhammad Mahfooz , Muhammad Abubakr , Hamza Haiderd


The world is dominated with nonlinear phenomena and this nonlinearity is explained by nonlinear equation. Availability of high performance digit computers makes it easy to solve the linear problems, however in case of nonlinear problems it seeks difficult. Even recently availability of different software’s like maple and Mathematica and high performance digit computers   the analytic approximation is more difficult then numerical approximation. These symbolic computation software e.g. Mathematica, Maple are used to find out the numerical solution of nonlinear singular problems. This is primary advantage of numerical computations to solve such problems of higher mathematical complexities however the results obtained by the numerical methods may varies in terms of results.