IDEAS home Printed from https://ideas.repec.org/a/wly/jnljam/v2013y2013i1n286529.html

New Iterative Method Based on Laplace Decomposition Algorithm

Author

Listed:
  • Sabir Widatalla
  • M. Z. Liu

Abstract

We introduce a new form of Laplace decomposition algorithm (LDA). By this form a new iterative method was achieved in which there is no need to calculate Adomian polynomials, which require so much computational time for higher‐order approximations. We have implemented this method for the solutions of different types of nonlinear pantograph equations to support the proposed analysis.

Suggested Citation

  • Sabir Widatalla & M. Z. Liu, 2013. "New Iterative Method Based on Laplace Decomposition Algorithm," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:286529
    DOI: 10.1155/2013/286529
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2013/286529
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2013/286529?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. Sabir Widatalla & Mohammed Abdulai Koroma, 2012. "Approximation Algorithm for a System of Pantograph Equations," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-9, March.
    2. Sabir Widatalla & Mohammed Abdulai Koroma, 2012. "Approximation Algorithm for a System of Pantograph Equations," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    3. Hradyesh Kumar Mishra & Atulya K. Nagar, 2012. "He‐Laplace Method for Linear and Nonlinear Partial Differential Equations," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    4. Hradyesh Kumar Mishra & Atulya K. Nagar, 2012. "He-Laplace Method for Linear and Nonlinear Partial Differential Equations," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-16, July.
    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. Shams A. Ahmed, 2021. "Applications of New Double Integral Transform (Laplace–Sumudu Transform) in Mathematical Physics," Abstract and Applied Analysis, John Wiley & Sons, vol. 2021(1).
    2. Ghaleb, A.F. & Abou-Dina, M.S. & Moatimid, G.M. & Zekry, M.H., 2021. "Analytic approximate solutions of the cubic–quintic Duffing–van​ der Pol equation with two-external periodic forcing terms: Stability analysis," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 180(C), pages 129-151.
    3. Izadi, Mohammad & Srivastava, H.M., 2021. "An efficient approximation technique applied to a non-linear Lane–Emden pantograph delay differential model," Applied Mathematics and Computation, Elsevier, vol. 401(C).

    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:jnljam:v:2013:y:2013:i:1:n:286529. 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/4185 .

    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.