Applications of Catalan neural network (CaNN) model

Merve Güney Duman, Sibel Koparal (), Ömer Duran () and Neşe Ömür ()
Additional contact information
Merve Güney Duman: Department of Engineering Fundamental Science, Sakarya University of Applied Sciences, Sakarya, Türkiye
Sibel Koparal: Department of Mathematics, Bursa Uludağ University, Bursa, Türkiye
Ömer Duran: Department of Mathematics, Kocaeli University, Kocaeli, Türkiye
Neşe Ömür: Department of Mathematics, Kocaeli University, Kocaeli, Türkiye

International Journal of Modern Physics C (IJMPC), 2025, vol. 36, issue 04, 1-17

Abstract: In this paper, we construct Catalan neural network (CaNN) model and examine the nonlinear solvers of the ordinary nonlinear differential equation using the CaNN model with linear and nonlinear activation functions. Using a single-layer functional linking neural network (FLANN) architecture, we extend input models using the first five Catalan polynomials, update network parameters that we initially randomly select, and use error backpropagation algorithms. The CaNN trial solution for solving nonlinear differential equations is in excellent agreement with the analytical solution. Also, the validity of the CaNN method is investigated by treating second-order differential equations of Lane–Emden type as boundary and initial value problems.

Keywords: Catalan polynomial; neural network; differential equation (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0129183124502437
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijmpcx:v:36:y:2025:i:04:n:s0129183124502437

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0129183124502437

Access Statistics for this article

International Journal of Modern Physics C (IJMPC) is currently edited by H. J. Herrmann

More articles in International Journal of Modern Physics C (IJMPC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().