TY - JOUR
A2 - Erdogan, Abdullah Said
AU - Ashyralyev, Allaberen
AU - Urun, Mesut
PY - 2013
DA - 2013/11/11
TI - Determination of a Control Parameter for the Difference Schrödinger Equation
SP - 548201
VL - 2013
AB - The first order of accuracy difference scheme for the numerical solution of the boundary value problem for the differential equation with parameter p, i(du(t)/dt)+Au(t)+iu(t)=f(t)+p, 0<t<T, u(0)=φ, u(T)=ψ, in a Hilbert space H with self-adjoint positive definite operator A is constructed. The well-posedness of this difference scheme is established. The stability inequalities for the solution of difference schemes for three different types of control parameter problems for the Schrödinger equation are obtained.
SN - 1085-3375
UR - https://doi.org/10.1155/2013/548201
DO - 10.1155/2013/548201
JF - Abstract and Applied Analysis
PB - Hindawi Publishing Corporation
KW -
ER -