- Tytuł:
- A smart amalgamation of spectral neural algorithm for nonlinear Lane-Emden equations with simulated annealing
- Autorzy:
-
Khan, N. A.
Shaikh, A. - Powiązania:
- https://bibliotekanauki.pl/articles/91814.pdf
- Data publikacji:
- 2017
- Wydawca:
- Społeczna Akademia Nauk w Łodzi. Polskie Towarzystwo Sieci Neuronowych
- Tematy:
-
Lane-Emden equations
simulated annealing
legendre polynomials
neural network - Opis:
- 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.
- Źródło:
-
Journal of Artificial Intelligence and Soft Computing Research; 2017, 7, 3; 215-224
2083-2567
2449-6499 - Pojawia się w:
- Journal of Artificial Intelligence and Soft Computing Research
- Dostawca treści:
- Biblioteka Nauki
Artykuł