Numerical solutions of NBSP for elliptic equations
Küçük Resim Yok
Tarih
2009
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maltepe Üniversitesi
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
In present paper joint with Prof. Allaberen Ashyralyev, Fatih University, we consider the Neumann Bitsadze Samarskii type problem for the multidimensional elliptic equation, with ? (x) , ? (x) ³ x ? ? ´ and f (t, x) (t ? (0, 1) , x ? ?) are smooth functions. Here ? is the unit open cube in the n-dimensional Euclidean space R n (0 < xk < 1, 1 ? k ? n) with boundary S, ? = ? ? S, ? is a large positive constant. We are interested in studying the stable difference schemes for the numerical solution of the nonlocal boundary value problem (1). The first and second orders of accuracy difference schemes are presented. A modified Gauss elimination method is used for solving these difference schemes for the two-dimensional elliptic differential equation. The method is supported by numerical examples.
Açıklama
Anahtar Kelimeler
Kaynak
International Conference of Mathematical Sciences
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Tetikoğlu, F. S. O. (2009). Numerical solutions of NBSP for elliptic equations. Maltepe Üniversitesi. s. 160.
