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Application of spectral methods to solve nonlinear buckling analysis of an elastic beam | ||
Caspian Journal of Mathematical Sciences | ||
مقاله 8، دوره 10، شماره 1، مهر 2021، صفحه 68-76 اصل مقاله (184.38 K) | ||
نوع مقاله: Research Articles | ||
شناسه دیجیتال (DOI): 10.22080/cjms.2021.18815.1499 | ||
نویسندگان | ||
Asiyeh Ebrahimzadeh* 1؛ Samaneh Panjeh Ali Beik2 | ||
1Assistent Professor, Department of Mathematics Education, Farhangian University, Tehran, Iran | ||
2National Center of Medical Education Assessment, Tehran, Iran | ||
تاریخ دریافت: 28 اردیبهشت 1399، تاریخ بازنگری: 19 دی 1399، تاریخ پذیرش: 21 دی 1399 | ||
چکیده | ||
This study is concerned with exploiting the spectral method to solve the fourth-order boundary value problem (BVP). Such equations frequently arise in the study and modeling of large amplitude transverse buckling in an elastic beam. To this end, the properties of shifted Legendre polynomial together with its operational matrix of the derivative and the spectral method is utilized to reduce BVP to a system of algebraic equations. Numerical results turn out the efficiency and accuracy of the propounded technique. | ||
کلیدواژهها | ||
Hinged Beam؛ Spectral method؛ Nonlinear fourth order boundary value problem؛ Shifted Legendre polynomials؛ Operational matrix of derivative | ||
آمار تعداد مشاهده مقاله: 197 تعداد دریافت فایل اصل مقاله: 274 |