| Subject |
Numerical functional analysis and applications |
| Title |
A Note On Nonlocal Boundary Value Problems For Parabolic-Schrodinger Equations |
| Author(s) |
Yildirim OZDEMIR and Mustafa ALP |
| Keywords |
Nonlocal boundary value problem; parabolic-Schrödinger equation; difference scheme; stability |
| Abstract |
The nonlocal boundary value problem (1) for parabolic-Schrödinger equations in a Hilbert space H, with the self-adjoint positive definite operator A is considered. The stability estimates for the solution
of (1) are established. In practice, the stability estimates for solutions of the mixed type boundary value problems for parabolic-Schrödinger equations are obtained. A numerical analysis is given for the parabolic-Schrödinger differential equation. For appoximate solutions of problem (1) the first and
second orders of accuracy difference schemes are presented. |
