DOAJ Open Access 2021

Deep neural network for system of ordinary differential equations: Vectorized algorithm and simulation

Tamirat Temesgen Dufera

Abstrak

This paper is aimed at applying deep artificial neural networks for solving system of ordinary differential equations. We developed a vectorized algorithm and implemented using python code. We conducted different experiments for selecting better neural architecture. For the learning of the neural network, we utilized the adaptive moment minimization method. Finally, we compare the method with one of the traditional numerical methods-Runge–Kutta order four. We have shown that, the artificial neural network could provide better accuracy for smaller numbers of grid points.

Topik & Kata Kunci

Cybernetics Electronic computers. Computer science

Penulis (1)

Tamirat Temesgen Dufera

Format Sitasi

APA MLA BibTeX

Dufera, T.T. (2021). Deep neural network for system of ordinary differential equations: Vectorized algorithm and simulation. https://doi.org/10.1016/j.mlwa.2021.100058

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Informasi Jurnal

Tahun Terbit: 2021
Sumber Database: DOAJ
DOI: 10.1016/j.mlwa.2021.100058
Akses: Open Access ✓