A piecewise analytical iterative method for a wire-mass model
Künye
Mungkasi, S. (2023). A piecewise analytical iterative method for a wire-mass model. TWMS Journal Of Applied And Engineering Mathematics, 13(1), 124-132.Özet
A wire-mass model is considered, where the wire is elastic and the mass is attached to the wire. We propose a piecewise analytical iterative method for simulating the motion of the mass attached to the wire. Our proposed method combines Picard’s successive approximation and Taylor series expansion methods. Picard’s successive approximation method is simple to construct, but difficult to compute, as it involves a nonlinear term in the integrand. Taylor series expansion method is accurate, but only for small intervals. We combine these two methods to take advantage of the strengths and avoid the weaknesses of both methods. Therefore, we implement this combination piecewisely. Numerical tests show that our proposed method is simple to implement but produces accurate solutions.
Cilt
13Sayı
1Bağlantı
https://hdl.handle.net/11729/5207http://jaem.isikun.edu.tr/web/index.php/current/118-vol13no1/949
Koleksiyonlar
Aşağıdaki lisans dosyası bu öğe ile ilişkilidir:
İlgili Öğeler
Başlık, yazar, küratör ve konuya göre gösterilen ilgili öğeler.
-
Mülteci barınaklarının uydu görüntülerinden çoklu-sınıflı çizge-kesme bölütleme ve gölge bilgisi kullanılarak otomatik sezimi
Ateş, Hasan Fehmi; Kahraman, Fatih; Kucur Ergünay, Şerife Seda (IEEE, 2014-04-23)Bu çalışmada, mülteci kamplarında bulunan yaşam alanlarının/barınakların (çadır, konteynır vb.) uydu ve hava görüntülerinden otomatik olarak sezimi ve sayımına yönelik bir yöntem tanıtılmaktadır. Mülteci kamplarındaki ... -
Numerical treatment of newell-whitehead-segel equation
Gupta, Shivangi; Goyal, Manish; Prakash, Amit (Işık University Press, 2020)In this paper, a comparative study of recently developed numerical methods in solving nonlinear Newell-–Whitehead—Segel equations is carried out. Results computed using Variational iteration method (VIM) are compared with ... -
A sequential Monte Carlo method for blind phase noise estimation and data detection
Panayırcı, Erdal; Çırpan, Hakan Ali; Moeneclaey, Marc (IEEE, 2005)In this paper, a computationally efficient algorithm is presented for blind phase noise estimation and data detection jointly, based on a sequential Monte Carlo method. The basic idea is to treat the transmitted symbols ...