A computational approach for shallow water forced Korteweg-De Vries equation on critical flow over a hole with three fractional operators

Basit Öğe Kaydı
dc.contributor.authorVeeresha, Pundikala
dc.contributor.authorYavuz, Mehmet
dc.contributor.authorBaishya, Chandrali
dc.date.accessioned2024-02-23T14:26:08Z
dc.date.available2024-02-23T14:26:08Z
dc.date.issued2021
dc.departmentNEÜen_US
dc.description.abstractThe Korteweg-De Vries (KdV) equation has always provided a venue to study and generalizes diverse physical phenomena. The pivotal aim of the study is to analyze the behaviors of forced KdV equation describing the free surface criti-cal flow over a hole by finding the solution with the help of q-homotopy analysis transform technique (q-HATT). he projected method is elegant amalgamations of q-homotopy analysis scheme and Laplace transform. Three fractional oper-ators are hired in the present study to show their essence in generalizing the models associated with power-law distribution, kernel singular, non-local and non-singular. The fixed-point theorem employed to present the existence and uniqueness for the hired arbitrary-order model and convergence for the solution is derived with Banach space. The projected scheme springs the series solution rapidly towards convergence and it can guarantee the convergence associated with the homotopy parameter. Moreover, for diverse fractional order the physi-cal nature have been captured in plots. The achieved consequences illuminates, the hired solution procedure is reliable and highly methodical in investigating the behaviours of the nonlinear models of both integer and fractional order.en_US
dc.identifier.doi10.11121/ijocta.2021.1177
dc.identifier.endpage67en_US
dc.identifier.issn2146-0957
dc.identifier.issn2146-5703
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85124367682en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage52en_US
dc.identifier.urihttps://doi.org/10.11121/ijocta.2021.1177
dc.identifier.urihttps://hdl.handle.net/20.500.12452/14058
dc.identifier.volume11en_US
dc.identifier.wosWOS:000873914800004en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherRamazan Yamanen_US
dc.relation.ispartofInternational Journal Of Optimization And Control-Theories & Applications-Ijoctaen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectForce Kdv Equationen_US
dc.subjectFractional Derivativesen_US
dc.subjectQ-Homotopy Analysis Transformen_US
dc.subjectTechniqueen_US
dc.subjectFixed Point Theoremen_US
dc.titleA computational approach for shallow water forced Korteweg-De Vries equation on critical flow over a hole with three fractional operatorsen_US
dc.typeArticleen_US

Dosyalar

Koleksiyon

WoS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu