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Yayınlar
- MakaleAçık Erişim2012Finite difference method for the reverse parabolic problem
Ashyralyyev, Charyyar; Dural, Ayfer; Sozen, Yasar
A finite difference method for the approximate solution of the reverse multidimensional parabolic differential equation with a multipoint boundary condition and Dirichlet condition is applied. Stability, almost coercive stability, and coercive stability estimates for the solution of the first and second orders of accuracy difference schemes are obtained. The theoretical statements are supported by the numerical example.
- MakaleAçık Erişim2012Stability of difference schemes for fractional parabolic PDE with the Dirichlet-Neumann conditions
Cakir, Zafer
The stable difference schemes for the fractional parabolic equation with Dirichlet and Neumann boundary conditions are presented. Stability estimates and almost coercive stability estimates with ln (1 / ( + | h |)) for the solution of these difference schemes are obtained. A procedure of modified Gauss elimination method is used for solving these difference schemes of one-dimensional fractional parabolic partial differential equations.