https://doi.org/10.1140/epjp/s13360-024-05158-3
Regular Article
Numerical simulation of the time-delay optoelectronic oscillator model using locally supported radial basis functions
1
Department of Mathematics, Faculty of Science, Bu-Ali Sina University, 65178, Hamedan, Iran
2
Department of Applied Mathematics, Faculty of Mathematics and Computer Sciences, Amirkabir University of Technology (Tehran Polytechnic), No. 424, Hafez Ave., 15914, Tehran, Iran
Received:
26
January
2024
Accepted:
4
April
2024
Published online:
3
May
2024
Optoelectronic oscillators are essential tools for generating pure microwave and millimeter-wavelength signals used in high-speed telecommunications, signal processing, radar, and related domains. This research investigates the numerical solution of the retarded optoelectronic oscillator model, described by delay Volterra integro-differential equations. We present a technique by employing the discrete collocation method and locally supported radial basis functions constructed on a set of scattered points. This scheme has the potential to achieve a accurate approximate solution by solving several smaller systems rather than one large system, resulting in a minimization of computational volume compared to its global counterpart. The discretization process is accomplished using the composite Gauss–Legendre quadrature formula. We estimate the error bound and convergence rate of our proposed scheme, supported by simulations that showcase the method’s reliability and efficiency. Additionally, we conducted a comparison of the computational efficiency between the offered method and its global counterpart, confirming that the introduced method is better than its global equivalent. The numerical results obtained confirm its alignment with the theoretical error estimates.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
