IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2013y2013i1n239454.html

A New Application of the Reproducing Kernel Hilbert Space Method to Solve MHD Jeffery‐Hamel Flows Problem in Nonparallel Walls

Author

Listed:
  • Mustafa Inc
  • Ali Akgül
  • Adem Kılıçman

Abstract

The present paper emphasizes Jeffery‐Hamel flow: fluid flow between two rigid plane walls, where the angle between them is 2α. A new method called the reproducing kernel Hilbert space method (RKHSM) is briefly introduced. The validity of the reproducing kernel method is set by comparing our results with HAM, DTM, and HPM and numerical results for different values of H, α, and Re. The results show up that the proposed reproducing kernel method can achieve good results in predicting the solutions of such problems. Comparison between obtained results showed that RKHSM is more acceptable and accurate than other methods. This method is very useful and applicable for solving nonlinear problems.

Suggested Citation

  • Mustafa Inc & Ali Akgül & Adem Kılıçman, 2013. "A New Application of the Reproducing Kernel Hilbert Space Method to Solve MHD Jeffery‐Hamel Flows Problem in Nonparallel Walls," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:239454
    DOI: 10.1155/2013/239454
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2013/239454
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2013/239454?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. Mustafa Inc & Ali Akgül & Adem Kiliçman, 2013. "A Novel Method for Solving KdV Equation Based on Reproducing Kernel Hilbert Space Method," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    2. Mustafa Inc & Ali Akgül & Adem Kiliçman, 2013. "A Novel Method for Solving KdV Equation Based on Reproducing Kernel Hilbert Space Method," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-11, February.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Mustafa Inc & Ali Akgül & Adem Kılıçman, 2013. "Numerical Solutions of the Second‐Order One‐Dimensional Telegraph Equation Based on Reproducing Kernel Hilbert Space Method," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    2. Mustafa Inc & Ali Akgül, 2014. "Numerical Solution of Seventh‐Order Boundary Value Problems by a Novel Method," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

    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. Yu-Lan Wang & Hao Yu & Fu-Gui Tan & Shanshan Qu, 2014. "Solving a Class of Singularly Perturbed Partial Differential Equation by Using the Perturbation Method and Reproducing Kernel Method," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. F. Z. Geng & S. P. Qian, 2014. "Solving Singularly Perturbed Multipantograph Delay Equations Based on the Reproducing Kernel Method," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    3. X. Y. Li & B. Y. Wu & R. T. Wang, 2014. "Reproducing Kernel Method for Fractional Riccati Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    4. Mustafa Inc & Ali Akgül, 2014. "Numerical Solution of Seventh‐Order Boundary Value Problems by a Novel Method," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    5. Ali Akgül & Adem Kiliçman, 2015. "Solving Delay Differential Equations by an Accurate Method with Interpolation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2015(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:2013:y:2013:i:1:n:239454. 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.