1. bookVolume 7 (2017): Issue 3 (July 2017)
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Zeitschrift
Erstveröffentlichung
30 Dec 2014
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4 Hefte pro Jahr
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access type Open Access

A Smart Amalgamation of Spectral Neural Algorithm for Nonlinear Lane-Emden Equations with Simulated Annealing

Online veröffentlicht: 20 Mar 2017
Seitenbereich: 215 - 224
Eingereicht: 01 Jan 2016
Akzeptiert: 04 Jul 2016
Zeitschriftendaten
License
Format
Zeitschrift
Erstveröffentlichung
30 Dec 2014
Erscheinungsweise
4 Hefte pro Jahr
Sprachen
Englisch

The actual motivation of this paper is to develop a functional link between artificial neural network (ANN) with Legendre polynomials and simulated annealing termed as Legendre simulated annealing neural network (LSANN). To demonstrate the applicability, it is employed to study the nonlinear Lane-Emden singular initial value problem that governs the polytropic and isothermal gas spheres. In LSANN, minimization of error is performed by simulated annealing method while Legendre polynomials are used in hidden layer to control the singularity problem. Many illustrative examples of Lane-Emden type are discussed and results are compared with the formerly used algorithms. As well as with accuracy of results and tranquil implementation it provides the numerical solution over the entire finite domain.

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