An Application of Evolutionary Computational Technique to Non-Linear Singular System arising in Polytrophic and Isothermal sphere

An Application of Evolutionary Computational Technique to Non-Linear Singular System arising in Polytrophic and Isothermal sphere

Junaid Ali Khan

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Muhammad Asif Zahoor Raja

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Ijaz Mansoor Qureshi

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International Islamic University, Islamabad

An Application of Evolutionary Computational Technique to Non-Linear Singular System arising in Polytrophic and Isothermal sphere

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Abstract

The paper presents a method to solve singular non-linear system representing polytrophic and isothermal sphere using neural network optimized by evolutionary computational approach. A trial solution of the system is written as a feed-forward neural network containing adaptive parameters (weights and biases). We prepare a fitness evaluation function defining unsupervised error. The optimization of the error defines the accuracy in the model that is highly stochastic in nature. Genetic algorithm is exploited as a tool for global convergence and active set algorithm as a rapid local search. The given scheme is tested on the model with polytrophic index 5=λ . A comparative study is made with exact and optimal Homtopy asymptotic method. The stability and reliability of the proposed scheme is investigated by a comprehensive statistical analysis. The proposed results are found to be in good agreement with exact solution as well as numerical solvers.

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

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No ethics committee approval was required for this article type.

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How to Cite This Article

Junaid Ali Khan. 2012. \u201cAn Application of Evolutionary Computational Technique to Non-Linear Singular System arising in Polytrophic and Isothermal sphere\u201d. Global Journal of Research in Engineering - I: Numerical Methods GJRE-I Volume 12 (GJRE Volume 12 Issue I1).

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Journal Specifications

Crossref Journal DOI 10.17406/gjre

Print ISSN 0975-5861

e-ISSN 2249-4596

Keywords

Artificial neura Differential transform method Evolutionary computational technique Optimal Homotopy asymptotic method Singular non-linear systems

Submission ReceivedDecember 9, 2011
Peer Review Double Blind
Handling Editor
Accepted January 3, 2012
Published January 15, 2012

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March 14, 2012

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Article Matrices

Total Score: 103

Country: Pakistan

Subject: Global Journal of Research in Engineering - I: Numerical Methods

Authors: Junaid Ali Khan, Muhammad Asif Zahoor Raja, Ijaz Mansoor Qureshi (PhD/Dr. count: 0)

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