Numerical solution for interval initial value problems based on interactive arithmetic

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MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade Estadual de Campinas (UNICAMP)-
Autor(es): dc.contributorBrazilian Center for Research in Energy and Materials-
Autor(es): dc.contributorSȁo Paulo State University-
Autor(es): dc.creatorEsmi, E.-
Autor(es): dc.creatorSacilotto, C.-
Autor(es): dc.creatorWasques, V. F.-
Autor(es): dc.creatorBarros, L. C.-
Data de aceite: dc.date.accessioned2025-08-21T17:56:47Z-
Data de disponibilização: dc.date.available2025-08-21T17:56:47Z-
Data de envio: dc.date.issued2023-07-29-
Data de envio: dc.date.issued2023-07-29-
Data de envio: dc.date.issued2022-10-31-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.22111/ijfs.2022.7206-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/246239-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/246239-
Descrição: dc.descriptionThis work studies Interval Initial Value Problems (IIVPs), where the derivative is given by the generalized Hukuhara derivative (gH-derivative) and the initial condition is given by an interval. The focus of the paper is to provide the numerical approximations for the solutions associated with the gH-derivative of IIVPs. This article considers the Euler numerical method, where the classical arithmetic operation is adapted for intervals. The arithmetic considered here is obtained using sup-J extension principle, where J is a particular family of joint possibility distributions. This family gives raise to different types of interactivity and this work shows what kind of interactivity is necessary in the numerical method, in order to approximate the solution via gH-derivative. To illustrate the results, the paper focuses in the decay Malthusian model.-
Descrição: dc.descriptionCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)-
Descrição: dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)-
Descrição: dc.descriptionDepartment of Applied Mathematics Institute of Mathematics Statistics and Scientific Computing University of Campinas-
Descrição: dc.descriptionIlum School of Science Brazilian Center for Research in Energy and Materials-
Descrição: dc.descriptionDepartment of Mathematics Sȁo Paulo State University-
Descrição: dc.descriptionCAPES: 001-
Descrição: dc.descriptionCNPq: 313313/2020-2-
Descrição: dc.descriptionCNPq: 314885/2021-8-
Formato: dc.format1-12-
Idioma: dc.languageen-
Relação: dc.relationIranian Journal of Fuzzy Systems-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjecteuler method-
Palavras-chave: dc.subjectgeneralized hukuhara derivative-
Palavras-chave: dc.subjectinteractivity-
Palavras-chave: dc.subjectInterval initial value problem-
Palavras-chave: dc.subjectmalthusian model-
Título: dc.titleNumerical solution for interval initial value problems based on interactive arithmetic-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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