Numerical Investigation of Nonlinear Shock Wave Equations with Fractional Order in Propagating Disturbance

Basit Öğe Kaydı
dc.authoridNadeem, Muhammad/0000-0002-9349-4729
dc.contributor.authorFang, Jiahua
dc.contributor.authorNadeem, Muhammad
dc.contributor.authorHabib, Mustafa
dc.contributor.authorAkgul, Ali
dc.date.accessioned2024-12-24T19:33:45Z
dc.date.available2024-12-24T19:33:45Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractThe symmetry design of the system contains integer partial differential equations and fractional-order partial differential equations with fractional derivative. In this paper, we develop a scheme to examine fractional-order shock wave equations and wave equations occurring in the motion of gases in the Caputo sense. This scheme is formulated using the Mohand transform (MT) and the homotopy perturbation method (HPM), altogether called Mohand homotopy perturbation transform (MHPT). Our main finding in this paper is the handling of the recurrence relation that produces the series solutions after only a few iterations. This approach presents the approximate and precise solutions in the form of convergent results with certain countable elements, without any discretization or slight perturbation theory. The numerical findings and solution graphs attained using the MHPT confirm that this approach is significant and reliable.
dc.description.sponsorshipFoundation of Yibin University, China [2019QD07]
dc.description.sponsorshipThis work was supported by the Foundation of Yibin University, China (grant No. 2019QD07).
dc.identifier.doi10.3390/sym14061179
dc.identifier.issn2073-8994
dc.identifier.issue6
dc.identifier.scopus2-s2.0-85132172981
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/sym14061179
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8279
dc.identifier.volume14
dc.identifier.wosWOS:000818438100001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofSymmetry-Basel
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectMohand transform
dc.subjecthomotopy perturbation method
dc.subjectshock wave equation
dc.titleNumerical Investigation of Nonlinear Shock Wave Equations with Fractional Order in Propagating Disturbance
dc.typeArticle

Dosyalar

Koleksiyon

WOS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu