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

Junaid Ali Khan; Ijaz Mansoor Qureshi

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

Junaid Ali Khan * §

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Ijaz Mansoor Qureshi

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International Islamic University Islamabad, Pakistan

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.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

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

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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

Classification

GJRE-I Classification FOR Code: 010399

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

Version of record

v1.2

Issue date

March 14, 2012

Language

English

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Article Matrices

Total Score: 103

Country: Pakistan

Subject: Global Journal of Research in Engineering

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

View Count (all-time): 369

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Publish Date: 2012 01, Sun

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