Numerical treatment of nonlinear Emden---Fowler equation using stochastic technique

Authors:
Junaid Ali Khan;Muhammad Asif Raja;Ijaz Mansoor Qureshi
Affiliations:
Department of Electronic Engineering, Facility of Engineering and Technology, International Islamic University, Islamabad, Pakistan;Department of Electronic Engineering, Facility of Engineering and Technology, International Islamic University, Islamabad, Pakistan;Department of Electrical Engineering, Air University, Islamabad, Pakistan
Venue:
Annals of Mathematics and Artificial Intelligence
Year:
2011

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Abstract

The article is based on the approximate solution of a well known Lane---Emden---Fowler (LEF) equation. A trial solution of the model is formulated as an artificial feed-forward neural network containing unknown weights which are optimized in an unsupervised way. The proposed scheme is tested successfully on various test cases of initial value problems of LEF equations. The reliability and effectiveness is validated through comprehensive statistical analysis.