Version 1
: Received: 29 July 2024 / Approved: 29 July 2024 / Online: 30 July 2024 (00:20:43 CEST)
How to cite:
Kasyanov, P. O.; Kapustyan, O. V.; Levenchuk, L. B.; Novykov, V. R. Machine Learning Method for Approximate Solutions for Reaction-Diffusion Equations with Multivalued Interaction Functions. Preprints2024, 2024072340. https://doi.org/10.20944/preprints202407.2340.v1
Kasyanov, P. O.; Kapustyan, O. V.; Levenchuk, L. B.; Novykov, V. R. Machine Learning Method for Approximate Solutions for Reaction-Diffusion Equations with Multivalued Interaction Functions. Preprints 2024, 2024072340. https://doi.org/10.20944/preprints202407.2340.v1
Kasyanov, P. O.; Kapustyan, O. V.; Levenchuk, L. B.; Novykov, V. R. Machine Learning Method for Approximate Solutions for Reaction-Diffusion Equations with Multivalued Interaction Functions. Preprints2024, 2024072340. https://doi.org/10.20944/preprints202407.2340.v1
APA Style
Kasyanov, P. O., Kapustyan, O. V., Levenchuk, L. B., & Novykov, V. R. (2024). Machine Learning Method for Approximate Solutions for Reaction-Diffusion Equations with Multivalued Interaction Functions. Preprints. https://doi.org/10.20944/preprints202407.2340.v1
Chicago/Turabian Style
Kasyanov, P. O., Liudmyla B. Levenchuk and Vladyslav R. Novykov. 2024 "Machine Learning Method for Approximate Solutions for Reaction-Diffusion Equations with Multivalued Interaction Functions" Preprints. https://doi.org/10.20944/preprints202407.2340.v1
Abstract
This paper presents machine learning methods for approximate solutions of reaction-diffusion equations with multivalued interaction functions. This approach addresses the challenge of finding all possible solutions for such equations, which often lack uniqueness. The proposed method utilizes physics-informed neural networks (PINNs) to approximate generalized solutions.
Computer Science and Mathematics, Computational Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
