Implicit method of high accuracy on hexagonal grids for approximating the solution to heat equation on rectangle
Küçük Resim Yok
Tarih
2021
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
A two layer Implicit method on hexagonal grids is proposed for approximating the solution to first type boundary value problem of heat equation on rectangle. It is proven that the given implicit scheme is unconditionally stable and converges to the exact solution on the grids of order O h4 +?2 where, h and ?3 2 h are the step sizes in space variables x1 and x2 respectively and ? is the step size in time. The method is applied on a test problem and the obtained numerical results justify the given theoretical results.
Açıklama
Anahtar Kelimeler
Finite difference method, Hexagonal grid, Stability analysis, Error bounds, Two dimensional heat equation
Kaynak
Fourth International Conference of Mathematical Sciences
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Buranay, S. C. ve Arshad, N. (2021). Implicit method of high accuracy on hexagonal grids for approximating the solution to heat equation on rectangle. Fourth International Conference of Mathematical Sciences, Maltepe Üniversitesi. s. 1-4.
