Title of article :
well posedness of the rothe difference scheme for reverse parabolic equations
Author/Authors :
ashyralyev, allaberen fatih university - department of mathematics, istanbul, turkey , dural, ayfer gaziosman paşa lisesi istanbul, turkey , sözen, yaşar , turkey
Abstract :
we consider the rothe difference scheme for approximate solution of the abstract parabolic equation in a hilbert space with the nonlocal boundary condition. theorems on stability estimates, coercivity and almost coercivity estimates for the solution of this difference scheme are established. in application, new coercivity inequalities for the solution of multi-point nonlocal boundary value difference equations of parabolic type are obtained.
Keywords :
multipoint nonlocal boundary value problem , parabolic equations , reverse type , difference equations , well , posedness , almost coercivity 2000 msc: 47d06 , 35k20
Journal title :
IJO: Iranian Journal of Optimization
Journal title :
IJO: Iranian Journal of Optimization
