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Determination of a Control Parameter for the Difference Schrödinger Equation

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  • Allaberen Ashyralyev
  • Mesut Urun

Abstract

The first order of accuracy difference scheme for the numerical solution of the boundary value problem for the differential equation with parameter , , , , , in a Hilbert space with self-adjoint positive definite operator 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.

Suggested Citation

  • Allaberen Ashyralyev & Mesut Urun, 2013. "Determination of a Control Parameter for the Difference Schrödinger Equation," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, November.
    • Handle: RePEc:hin:jnlaaa:548201
    DOI: 10.1155/2013/548201
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