IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2012y2012i1n294154.html

Finite Difference Method for the Reverse Parabolic Problem

Author

Listed:
  • Charyyar Ashyralyyev
  • Ayfer Dural
  • Yasar Sozen

Abstract

A finite difference method for the approximate solution of the reverse multidimensional parabolic differential equation with a multipoint boundary condition and Dirichlet condition is applied. Stability, almost coercive stability, and coercive stability estimates for the solution of the first and second orders of accuracy difference schemes are obtained. The theoretical statements are supported by the numerical example.

Suggested Citation

  • Charyyar Ashyralyyev & Ayfer Dural & Yasar Sozen, 2012. "Finite Difference Method for the Reverse Parabolic Problem," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:294154
    DOI: 10.1155/2012/294154
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2012/294154
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2012/294154?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. A. Ashyralyev & A. Hanalyev & P. E. Sobolevskii, 2001. "Coercive solvability of the nonlocal boundary value problem for parabolic differential equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 6(1), pages 53-61.
    2. Aleksandr A. Samarskii & Evgenii S. Nikolaev, 1989. "Numerical Methods for Grid Equations," Springer Books, Springer, number 978-3-0348-9142-4, March.
    3. Aleksandr A. Samarskii & Evgenii S. Nikolaev, 1989. "Numerical Methods for Grid Equations," Springer Books, Springer, number 978-3-0348-9272-8, March.
    4. A. Ashyralyev & A. Hanalyev & P. E. Sobolevskii, 2001. "Coercive solvability of the nonlocal boundary value problem for parabolic differential equations," Abstract and Applied Analysis, Hindawi, vol. 6, pages 1-9, January.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. A. Ashyralyev & G. Judakova & P. E. Sobolevskii, 2006. "A note on the difference schemes for hyperbolic‐elliptic equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2006(1).
    2. Zafer Cakir, 2012. "Stability of Difference Schemes for Fractional Parabolic PDE with the Dirichlet‐Neumann Conditions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    3. Xiuling Yin & Yanqin Liu, 2014. "Symplectic Schemes for Linear Stochastic Schrödinger Equations with Variable Coefficients," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    4. F. Zouyed & F. Rebbani & N. Boussetila, 2007. "On a Class of Multitime Evolution Equations with Nonlocal Initial Conditions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2007(1).
    5. Allaberen Ashyralyev & Yasar Sozen & Pavel E. Sobolevskii, 2007. "A Note on the Parabolic Differential and Difference Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2007(1).
    6. Dang Quang A. & Nguyen Van Thien, 2012. "Iterative Method for Solving the Second Boundary Value Problem for Biharmonic‐Type Equation," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    7. Necmettin Aggez & Maral Ashyralyyewa, 2012. "Numerical Solution of Stochastic Hyperbolic Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    8. 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).
    9. Deniz Agirseven, 2012. "Approximate Solutions of Delay Parabolic Equations with the Dirichlet Condition," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    10. 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).

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:294154. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/4058 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.