Numerical solution of one boundary value problem using finite difference method     
Yazarlar (3)
Oktay Muhtaroğlu
Tokat Gaziosmanpaşa Üniversitesi, Türkiye
Semih Çavuşoğlu
Yabancı Kurumlar, Azerbaycan
Doç. Dr. Hayati OLĞAR Tokat Gaziosmanpaşa Üniversitesi, Türkiye
Makale Türü Açık Erişim Özgün Makale
Makale Alt Türü Ulusal alan endekslerinde (TR Dizin, ULAKBİM) yayınlanan tam makale
Dergi Adı Turkish Journal of Mathematics and Computer Science
Dergi ISSN 2148-1830 Scopus Dergi
Dergi Tarandığı Indeksler TR DİZİN
Makale Dili İngilizce
Basım Tarihi 12-2019
Cilt No 11
Sayfalar 85 / 89
Makale Linki https://dergipark.org.tr/en/pub/tjmcs/issue/51517/613118
Özet
Many problem of physics and engineering are modelled by boundary value problems for ordinary orpartial differential equations. Usually, it is impossible to find the exact solution of the boundary value problems,so we have to apply various numerical methods. There are different numerical methods (for example, the ExplicitEuler method, the Runge-Kutta method, the Improved Euler method, Finite difference method and finite elementmethod) for determining the approximate solutions of initial and boundary-value problems. One of them is thefinite difference method, which is the simplest scheme. This method can be applied to higher of ordinary differentialequations, provided it is possible to write an explicit expression for the highest order derivative and the system hasa complete set of initial conditions. In this study, we are interested in the finite difference method for new typeboundary value problems. We describe the numerical solutions of some two-point boundary value problems byusing finite difference method. This method are based upon the approximations that allow to replace the differentialequations by algebraic system of equations and the unknowns solutions are related to grid points. In this article, wehave presented a finite difference method for solving second order boundary value problems for ordinary differentialequations with an internal singularity. This method tested on several model problems for the numerical solution.
Anahtar Kelimeler
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
TRDizin 3
Google Scholar 12

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