On Existence of Solution of a Nonlocal Boundary Value Problem for Heat Transfer Equation
Yükleniyor...
Tarih
2009
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Beykent Üniversitesi
Erişim Hakkı
Özet
In this work, it is considered non-homegenous heat equation with nonlocal boundary conditions. Non-local boundary conditions are reduced to pointwise non classical boundary value problem. It is applied the metod of separation variables to this problem. It is found eigenvalues and eigenfunctions of Sturm- Liouville problem which appears in the solution, the expansion according to eigenfunctions is obtained. It is shown the existence of solution of the boundary value problem which is consider. This kind of boundary value problems appears on heat variation, diffusion and economy problems.
Açıklama
Anahtar Kelimeler
Heat equation, non-local boundary value problem, integral condition, Fourier method, adjoint boundary value problem, biorthogonal adjoint sequence
Kaynak
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Journal of Science and Technology 3 (2), 2009, 241 – 252
