SOLVING NONLINEAR LANE-EMDEN TYPE EQUATIONS WITH UNSUPERVISED COMBINED ARTIFICIAL NEURAL NETWORKS

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PARAND K.; ROOZBAHANI Z.; BAYAT BABOLGHANI F.

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Paper Information

Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS Year:2013 | Volume:5 | Issue:4 Page(s): 355-366

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Information Journal Paper

Title

SOLVING NONLINEAR LANE-EMDEN TYPE EQUATIONS WITH UNSUPERVISED COMBINED ARTIFICIAL NEURAL NETWORKS

Author(s)

PARAND K. | ROOZBAHANI Z. | BAYAT BABOLGHANI F. | Issue Writer Certificate

Keywords

LANE-EMDEN TYPE EQUATIONS

NONLINEAR ODE

SEMI-INFINITE DOMAIN

ASTROPHYSICS

ARTIFICIAL NEURAL NETWORK

COMBINED NEURAL NETWORK

Abstract

In this paper we propose a method for solving some well-known classes of LANE-EMDEN TYPE EQUATIONS which are nonlinear ordinary differential equations on the SEMI-INFINITE DOMAIN. The proposed approach is based on an Unsupervised Combined ARTIFICIAL NEURAL NETWORKs (UCANN) method. Firstly, The trial solutions of the differential equations are written in the form of feed-forward neural networks containing adjustable parameters (the weights and biases), results are then optimized with the COMBINED NEURAL NETWORK. The proposed method is tested on series of Lane-Emden differential equations and the results are reported. Afterward, these results are compared with the solution of other methods demonstrating the efficiency and applicability of the proposed method.

Cites

ELECTROMAGNETISM-LIKE ALGORITHM FOR FUZZY FLOW SHOP BATCH PROCESSING MACHINES SCHEDULING TO MINIMIZE TOTAL WEIGHTED EARLINESS AND TARDINESS

References

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APA: Copy

PARAND, K., ROOZBAHANI, Z., & BAYAT BABOLGHANI, F.. (2013). SOLVING NONLINEAR LANE-EMDEN TYPE EQUATIONS WITH UNSUPERVISED COMBINED ARTIFICIAL NEURAL NETWORKS. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 5(4), 355-366. SID. https://sid.ir/paper/619046/en

Vancouver: Copy

PARAND K., ROOZBAHANI Z., BAYAT BABOLGHANI F.. SOLVING NONLINEAR LANE-EMDEN TYPE EQUATIONS WITH UNSUPERVISED COMBINED ARTIFICIAL NEURAL NETWORKS. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2013;5(4):355-366. Available from: https://sid.ir/paper/619046/en

IEEE: Copy

K. PARAND, Z. ROOZBAHANI, and F. BAYAT BABOLGHANI, “SOLVING NONLINEAR LANE-EMDEN TYPE EQUATIONS WITH UNSUPERVISED COMBINED ARTIFICIAL NEURAL NETWORKS,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 5, no. 4, pp. 355–366, 2013, [Online]. Available: https://sid.ir/paper/619046/en

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