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A numerical approach to fuzzy partial differential equations with interactive fuzzy values: application to the heat equation

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Autor(es):
Wasques, Vinicius Francisco
Número total de Autores: 1
Tipo de documento: Artigo Científico
Fonte: COMPUTATIONAL & APPLIED MATHEMATICS; v. 43, n. 6, p. 13-pg., 2024-09-01.
Resumo

This paper presents a numerical approach to solve fuzzy partial differential equation restrictto fuzzy boundary and initial conditions. The numerical solution to this problem is obtainedby the finite difference method considering a particular type of fuzzy arithmetic calledJ0-interactive arithmetic. A study of the computational cost of the method is presented, as wellas a comparison with the numerical solution obtained by the standard fuzzy arithmetic, whichis associated with the Zadeh's extension principle. The paper focuses on the heat equation inorder to illustrate the methodology. (AU)

Processo FAPESP: 23/03927-0 - Equações diferenciais fuzzy e álgebra fuzzy com aplicações
Beneficiário:Vinícius Francisco Wasques
Modalidade de apoio: Auxílio à Pesquisa - Regular