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dc.contributor.authorJamil, Hammad
dc.contributor.authorTütüncü, Naki
dc.date.accessioned2021-02-21T14:18:40Z
dc.date.available2021-02-21T14:18:40Z
dc.date.issued2019
dc.identifier.issn2667-7814
dc.identifier.urihttps://doi.org/10.46740/alku.662587
dc.identifier.urihttps://dergipark.org.tr/tr/download/article-file/922137
dc.identifier.urihttps://hdl.handle.net/20.500.12868/1436
dc.description.abstractA comparative analysis of well renowned “Shooting Method” with another numerical method “Complementary Functions Method” (CFM) is presented for calculating eigenvalue (?). Contrary to the shooting method hit and trial approach, CFM exploits the properties of linear ordinary differential equation (LODE). In the case of linear eigenvalue Boundary value Problem (BVP), CFM generates an algebraic equation system with one unknown “?” and, alone root finding method is sufficient to give required eigenvalue. However, the Shooting Method create a system of algebraic equations containing two unknowns “?” and “missing initial conditions”, that demands an additional numerical technique along with root finding method. These radical differences between two approaches, sets the basis for this comparative investigation. As a case study in Linear Elastic Stability, different cases of Euler columns are investigated by finding eigenvalues for each case numerically, under both methods. Comparison is performed on the basis of results accuracy and cost effectiveness for both numerical techniques while solving linear stability problems.en_US
dc.language.isoengen_US
dc.publisherAlanya Alaaddin Keykubat Üniversitesien_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectShooting methoden_US
dc.subjectLinear Elastic Stabilityen_US
dc.subjectComplementary Functions Method (CFM)en_US
dc.subjecteigenvalueen_US
dc.subjectLinear eigenvalue boundary value problemen_US
dc.subjectEuler Columnsen_US
dc.titleNumerical methods in calculating eigenvalues: Case studies in stability of euler columnsen_US
dc.typearticleen_US
dc.contributor.departmentALKÜen_US
dc.identifier.volume1en_US
dc.identifier.issue3en_US
dc.identifier.startpage156en_US
dc.identifier.endpage164en_US
dc.relation.journalALKÜ Fen Bilimleri Dergisien_US
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Başka Kurum Yazarıen_US


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