Weak generalized and numerical solution for a quasilinear pseudo-parabolic equation with nonlocal boundary condition

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Atıf İçin Kopyala

BAĞLAN İ., Kanca F.

ADVANCES IN DIFFERENCE EQUATIONS, 2014 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Basım Tarihi: 2014
• Doi Numarası: 10.1186/1687-1847-2014-277
• Dergi Adı: ADVANCES IN DIFFERENCE EQUATIONS
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Kocaeli Üniversitesi Adresli: Evet

Özet

This paper investigates the one dimensional mixed problem with nonlocal boundary conditions, for the quasilinear parabolic equation. Under some natural regularity and consistency conditions on the input data, the existence, uniqueness, convergence of the weak generalized solution, and also continuous dependence upon the data of the solution are shown by using the generalized Fourier method. We construct an iteration algorithm for the numerical solution of this problem.