2016
DOI: 10.1007/s00521-016-2400-y
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Neural network methods to solve the Lane–Emden type equations arising in thermodynamic studies of the spherical gas cloud model

Abstract: In the present study, stochastic numerical computing approach is developed by applying artificial neural networks (ANNs) to compute the solution of Lane-Emden type boundary value problems arising in thermodynamic studies of the spherical gas cloud model. ANNs are used in an unsupervised manner to construct the energy function of the system model. Strength of efficient local optimization procedures based on active-set (AS), interior-point (IP) and sequential quadratic programming (SQP) algorithms is used to opt… Show more

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Cited by 112 publications
(37 citation statements)
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References 64 publications
(55 reference statements)
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“…In future, such techniques of FC can be implemented to all variants of PSO [21,58] and other hybrid algorithms to enhance the memory effect and convergence rate. The designed FPSOGSA looks further promising to be exploited/explored for finding the solution of stiff/non-stiff nonlinear models arising in broad application of applied science and technology such as intelligent systems, electromagnetism, electronics, modeling and identification, telecommunications, irreversibility, physics, control systems [38][39][40][41], fluid dynamics [61][62], astrophysics models [63][64], differential equation based electric circuit theory [65][66], bioinformatics studies [67][68] and atomic physics models [69][70].…”
Section: Discussionmentioning
confidence: 99%
“…In future, such techniques of FC can be implemented to all variants of PSO [21,58] and other hybrid algorithms to enhance the memory effect and convergence rate. The designed FPSOGSA looks further promising to be exploited/explored for finding the solution of stiff/non-stiff nonlinear models arising in broad application of applied science and technology such as intelligent systems, electromagnetism, electronics, modeling and identification, telecommunications, irreversibility, physics, control systems [38][39][40][41], fluid dynamics [61][62], astrophysics models [63][64], differential equation based electric circuit theory [65][66], bioinformatics studies [67][68] and atomic physics models [69][70].…”
Section: Discussionmentioning
confidence: 99%
“…Using contact geometry, we have immediately obtained a "Hamiltonisation" of all the dynamical systems of the form (1). This fact should not be underestimated: a Hamiltonian structure for all such systems allows us to benefit from the theory of Hamiltonian systems (extended to the contact case) and its powerful analytical and numerical tools.…”
Section: Contact Hamiltonian Systemsmentioning
confidence: 97%
“…They are utilized in recognition/generation/ classification. They have permanent I/P's and O/P's Ahmad et al (2017).…”
Section: B Feed Forward Annmentioning
confidence: 99%