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Approximate Solution of Inverse Problem for Elliptic Equation with Overdetermination

Author

Listed:
  • Charyyar Ashyralyyev
  • Mutlu Dedeturk

Abstract

A finite difference method for the approximate solution of the inverse problem for the multidimensional elliptic equation with overdetermination is applied. Stability and coercive stability estimates of the fi rst and second orders of accuracy difference schemes for this problem are established. The algorithm for approximate solution is tested in a two‐dimensional inverse problem.

Suggested Citation

  • Charyyar Ashyralyyev & Mutlu Dedeturk, 2013. "Approximate Solution of Inverse Problem for Elliptic Equation with Overdetermination," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:548017
    DOI: 10.1155/2013/548017
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    References listed on IDEAS

    as
    1. Charyyar Ashyralyyev & Oznur Demirdag, 2012. "The Difference Problem of Obtaining the Parameter of a Parabolic Equation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    2. Allaberen Ashyralyev & Elif Ozturk, 2012. "The Numerical Solution of the Bitsadze‐Samarskii Nonlocal Boundary Value Problems with the Dirichlet‐Neumann Condition," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    3. Allaberen Ashyralyev & Elif Ozturk, 2012. "The Numerical Solution of the Bitsadze-Samarskii Nonlocal Boundary Value Problems with the Dirichlet-Neumann Condition," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-13, August.
    4. Aleksandr A. Samarskii & Evgenii S. Nikolaev, 1989. "Numerical Methods for Grid Equations," Springer Books, Springer, number 978-3-0348-9142-4, March.
    5. Charyyar Ashyralyyev & Oznur Demirdag, 2012. "The Difference Problem of Obtaining the Parameter of a Parabolic Equation," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-14, July.
    6. Aleksandr A. Samarskii & Evgenii S. Nikolaev, 1989. "Numerical Methods for Grid Equations," Springer Books, Springer, number 978-3-0348-9272-8, March.
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