Approximate Solutions of Delay Parabolic Equations with the Dirichlet Condition
Küçük Resim Yok
Tarih
2012
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Hindawi Ltd
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Finite difference and homotopy analysis methods are used for the approximate solution of the initial-boundary value problem for the delay parabolic partial differential equation with the Dirichlet condition. The convergence estimates for the solution of first and second orders of difference schemes in Holder norms are obtained. A procedure of modified Gauss elimination method is used for the solution of these difference schemes. Homotopy analysis method is applied. Comparison of finite difference and homotopy analysis methods is given on the problem.
Açıklama
Anahtar Kelimeler
Differential Equations, Stability Properties, Numerical-Methods, Time, Schemes
Kaynak
Abstract And Applied Analysis
WoS Q Değeri
Q1
Scopus Q Değeri
Q4