On the parabolic inverse problem with an unknown source function
Küçük Resim Yok
Tarih
2009
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
Let ? be the unit open cube in the n?dimensional Euclidean space R n(0 < xk < 1, 1 ? k ? n) with boundary S, ? = ? ? S. In [0, 1] × ? we consider the mixed boundary value problem for the multidimensional parabolic equation where ?r(x) (x ? ?), ?(x), ?(x) (x ? ?) and f(t, x) (t ? (0, 1), x ? ?) are given smooth functions and ?r(x) ? a > 0. The first and second orders of accuracy stable difference schemes for the approximate solution of (1) are presented. Stability, almost coercive stability and coercive stability estimates are obtained. Numerical techniques are developed and algorithms are tested on an example.
Açıklama
Anahtar Kelimeler
Kaynak
International Conference of Mathematical Sciences
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Ashyralyev, A., Demirdağ, Ö. ve Erdoğan, A. S. (2009). On the parabolic inverse problem with an unknown source function. Maltepe Üniversitesi. s. 94.
