Solving differential equations with z-numbers data by gaussian radial basic function

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dc.authorscopusidTofigh Allahviranloo / 8834494700
dc.authorwosidTofigh Allahviranloo / V-4843-2019
dc.contributor.authorQalehe, Leila
dc.contributor.authorKermani, Mozhdeh Afshar
dc.contributor.authorAllahviranloo, Tofigh
dc.date.accessioned2025-04-17T07:14:41Z
dc.date.available2025-04-17T07:14:41Z
dc.date.issued2025
dc.departmentİstinye Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, Yazılım Mühendisliği Bölümü
dc.description.abstractDeveloping a novel and practical method based on the radial-base grid network (RBF) as well as the third-order polynomial of the exponential function (f(t) = e(t)) in order to solve the first-order differential equations based on Z-numbers is the aim of this paper. It is worth mentioning that the advantage of the proposed RBF is that sufficient information is not required. The RBF contains three distinct layers as follows: the input layer including the elementary nodes; the second layer including the hidden layers via high dimensions; and the output layer for responding and activating the patterns of the input layer. The obtained results revealed that this method could solve and approximate such problems under acceptable confidence.
dc.identifier.citationQalehe, L., Kermani, M. A., & Allahviranloo, T. (2025). Solving Differential Equations with Z-numbers data by Gaussian Radial Basic Function. New Mathematics and Natural Computation.
dc.identifier.doi10.1142/S1793005726500444
dc.identifier.issn1793-0057
dc.identifier.issn1793-7027
dc.identifier.scopus2-s2.0-85219090632
dc.identifier.scopusqualityQ3
dc.identifier.urihttp://dx.doi.org/10.1142/S1793005726500444
dc.identifier.urihttps://hdl.handle.net/20.500.12713/6112
dc.identifier.wosWOS:001433474800001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorAllahviranloo, Tofigh
dc.institutionauthoridTofigh Allahviranloo / 0000-0002-6673-3560
dc.language.isoen
dc.publisherWorld scientific
dc.relation.ispartofNew mathematics and natural computation
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectFirst-Order Differential Equations
dc.subjectRBF
dc.subjectZ-Numbers
dc.titleSolving differential equations with z-numbers data by gaussian radial basic function
dc.typeArticle

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