IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2014y2014i1n735831.html

Using an Effective Numerical Method for Solving a Class of Lane‐Emden Equations

Author

Listed:
  • Yulan Wang
  • Hao Yu
  • Fugui Tan
  • Shuguang Li

Abstract

We use the reproducing kernel method to solve the well‐known classes of Lane‐Emden‐type equations. These classes of equations have the form of Lane‐Emden problem. Comparing the results of the reproducing kernel method with the analytical solutions by means of some typical examples, we can affirm that the reproducing kernel method is an efficient and accurate method.

Suggested Citation

  • Yulan Wang & Hao Yu & Fugui Tan & Shuguang Li, 2014. "Using an Effective Numerical Method for Solving a Class of Lane‐Emden Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:735831
    DOI: 10.1155/2014/735831
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2014/735831
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/735831?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. Jing Niu & Yingzhen Lin & Minggen Cui, 2013. "A Novel Approach to Calculation of Reproducing Kernel on Infinite Interval and Applications to Boundary Value Problems," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-7, September.
    2. F. Z. Geng & S. P. Qian, 2014. "Solving Singularly Perturbed Multipantograph Delay Equations Based on the Reproducing Kernel Method," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-6, February.
    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. Jing Niu & Yingzhen Lin & Minggen Cui, 2013. "A Novel Approach to Calculation of Reproducing Kernel on Infinite Interval and Applications to Boundary Value Problems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    5. Zhiyuan Li & YuLan Wang & Fugui Tan & Xiaohui Wan & Tingfang Nie, 2012. "The Solution of a Class of Singularly Perturbed Two-Point Boundary Value Problems by the Iterative Reproducing Kernel Method," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-7, June.
    6. Zhiyuan Li & Yulan Wang & Fugui Tan, 2012. "The Solution of a Class of Third-Order Boundary Value Problems by the Reproducing Kernel Method," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-11, October.
    7. Zhiyuan Li & YuLan Wang & Fugui Tan & Xiaohui Wan & Tingfang Nie, 2012. "The Solution of a Class of Singularly Perturbed Two‐Point Boundary Value Problems by the Iterative Reproducing Kernel Method," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    8. Zhiyuan Li & Yulan Wang & Fugui Tan, 2012. "The Solution of a Class of Third‐Order Boundary Value Problems by the Reproducing Kernel Method," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    9. X. Y. Li & B. Y. Wu & R. T. Wang, 2014. "Reproducing Kernel Method for Fractional Riccati Differential Equations," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-6, April.
    10. 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).
    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. 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. M. Motawi Khashan & Rohul Amin & Muhammed I. Syam, 2019. "A New Algorithm for Fractional Riccati Type Differential Equations by Using Haar Wavelet," Mathematics, MDPI, vol. 7(6), pages 1-12, June.
    3. S M, Sivalingam & Kumar, Pushpendra & Govindaraj, V., 2023. "A novel numerical scheme for fractional differential equations using extreme learning machine," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 622(C).
    4. Haifa Bin Jebreen & Ioannis Dassios, 2022. "A Biorthogonal Hermite Cubic Spline Galerkin Method for Solving Fractional Riccati Equation," Mathematics, MDPI, vol. 10(9), pages 1-14, April.

    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:2014:y:2014:i:1:n:735831. 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.