Residue Method for The Solution of Heat Equation with Nonlocal Boundary Condition
Yükleniyor...
Tarih
2008
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Beykent Üniversitesi
Erişim Hakkı
Özet
In this paper by using the residue method, the exact solution of mixed problem for linear heat equation with nonlocal boundary conditions is obtained. For this aim, at first, the formula for expansion of an arbitrary function in a series of residues of the solution of the corresponding spectral problem is proved. Further, this formula is used to show that if the mixed boundary-value problem in question has a sufficiently smooth solution, this solution can be represented by the given residue formula.
Açıklama
Anahtar Kelimeler
Residue method, Nonlocal boundary condition, Expansion formula, Residue representation
Kaynak
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Journal of Science and Technology 2 (1), 2008, 146-158
