D’alembert’s Solution Of The Initial Value Problem For The Third-Order Linear Hyperbolic Equation

dc.authorid15070en_US
dc.contributor.authorGünerhan, Duygu
dc.contributor.authorSinsoysal, Bahaddin
dc.date.accessioned2019-08-19T07:00:13Z
dc.date.available2019-08-19T07:00:13Z
dc.date.issued2019
dc.departmentİstanbul Beykent Üniversitesien_US
dc.description.abstractIt is well known that the famous D’Alembert formula for solving the wave equation of secondorder is a very important instrument in the study of the dynamics of waves. It is also obvious that D’Alembert’s solutions for higher-order partial differential equations are of great importance. In this paper, the D’Alembert solutions of the Cauchy problem for linear partial differential equations with homogeneous constant coefficients of the third-order are obtained. Finally, using the obtained solutions, some computer tests on three distinct roots have been carried out. The results clearly indicate the dispersion dynamics of waves with some initial profile.en_US
dc.identifier.citation12/1 (2019), 12-18tr_TR
dc.identifier.doi10.20854/bujse.553090
dc.identifier.issn1307-3818
dc.identifier.urihttps://doi.org/10.20854/bujse.553090
dc.language.isoenen_US
dc.publisherBeykent Üniversitesitr_TR
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.subjectD’Alembert’s solutiontr_TR
dc.subjectthird-order hyperbolic equationtr_TR
dc.subjectcharacteristic equationtr_TR
dc.titleD’alembert’s Solution Of The Initial Value Problem For The Third-Order Linear Hyperbolic Equationen_US
dc.typeArticleen_US

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