Analytical solution of wave system in Rn with coupling controllers

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dc.contributor.authorMohyud-Din S.T.
dc.contributor.authorYildirim A.
dc.contributor.authorDemirli G.
dc.date.accessioned2019-10-27T08:33:58Z
dc.date.available2019-10-27T08:33:58Z
dc.date.issued2011
dc.departmentEge Üniversitesien_US
dc.description.abstractPurpose-The purpose of this paper is to consider analytical solution of wave system in Rn with coupling controllers by using the homotopy perturbation method (HPM). Design/methodology/approach-HPM is applied to the system of linear partial differential equations, i.e. the system of waves in the two-dimensional version of system equations (1) and (2). This problem is motivated by an analogous problem in ordinary differential equations for coupled oscillators and has potential application in isolating a vibrating object from the outside disturbances. For example, rubber or rubber-like materials can be used to either absorb or shield a structure from vibration. As an approximation, these materials can be modeled as distributed springs. Findings-In this paper, HPM was used to obtain analytical solution of wave system in with coupling controllers. The method provides the solutions in the form of a series with easily computable terms. Unlike other common methods for solving any physical problem, linear or nonlinear, that requires linearization, discretization, perturbation, or unjustified assumptions that may slightly change the physics of the problem, the HPM finds approximate analytical solutions by using the initial conditions only. Originality/value-The method proposed in this paper is very reliable and efficient and is being used quite extensively for diversified nonlinear problems of a physical nature. The algorithm is being used for the first time on such problems. © Emerald Group Publishing Limited.en_US
dc.identifier.doi10.1108/09615531111105399
dc.identifier.endpage205en_US
dc.identifier.issn0961-5539
dc.identifier.issn0961-5539en_US
dc.identifier.issue2en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage198en_US
dc.identifier.urihttps://doi.org/10.1108/09615531111105399
dc.identifier.urihttps://hdl.handle.net/11454/26937
dc.identifier.volume21en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.relation.ispartofInternational Journal of Numerical Methods for Heat and Fluid Flowen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectControllersen_US
dc.subjectDifferential equationsen_US
dc.subjectFunction approximationen_US
dc.subjectWavesen_US
dc.titleAnalytical solution of wave system in Rn with coupling controllersen_US
dc.typeArticleen_US

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