Error estimation using neural network technique for solving ordinary differential equations
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Nam, H. | - |
dc.contributor.author | Baek, K.R. | - |
dc.contributor.author | Bu, S. | - |
dc.date.accessioned | 2022-07-19T04:40:27Z | - |
dc.date.available | 2022-07-19T04:40:27Z | - |
dc.date.issued | 2022-12-01 | - |
dc.identifier.issn | 2731-4235 | - |
dc.identifier.issn | 2731-4235 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/30112 | - |
dc.description.abstract | In this paper, we present a numerical method to solve ordinary differential equations (ODEs) by using neural network techniques in a deferred correction method framework. Similar to the deferred or error correction techniques, a provisional solution of the ODE is preferentially calculated by any lower-order scheme to satisfy given initial conditions, and the corresponding error is investigated by fully connected neural networks and structured to obtain sufficient magnitude of the error. Numerical examples are illustrated to demonstrate the efficiency of the proposed scheme. © 2022, The Author(s). | - |
dc.language | 영어 | - |
dc.language.iso | ENG | - |
dc.publisher | Springer Science and Business Media Deutschland GmbH | - |
dc.title | Error estimation using neural network technique for solving ordinary differential equations | - |
dc.type | Article | - |
dc.identifier.doi | 10.1186/s13662-022-03718-4 | - |
dc.identifier.scopusid | 2-s2.0-85132076557 | - |
dc.identifier.wosid | 000867449500001 | - |
dc.identifier.bibliographicCitation | Advances in Continuous and Discrete Models, v.2022, no.1 | - |
dc.citation.title | Advances in Continuous and Discrete Models | - |
dc.citation.volume | 2022 | - |
dc.citation.number | 1 | - |
dc.type.docType | Article | - |
dc.description.isOpenAccess | Y | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordAuthor | Deferred correction method | - |
dc.subject.keywordAuthor | Error correction method | - |
dc.subject.keywordAuthor | Neural network | - |
dc.subject.keywordAuthor | Ordinary differential equations | - |
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