IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v187y2021icp261-281.html
   My bibliography  Save this article

A study of nonlinear systems arising in the physics of liquid crystals, using MLPG and DMLPG methods

Author

Listed:
  • Shokri, Ali
  • Bahmani, Erfan

Abstract

The study of liquid crystals is one of the active areas of physics research. In this paper, the MLPG and direct MLPG (DMLPG) methods are used for the numerical study of the coupled nonlinear sine–Gordon equations in two dimensions arising in the modeling of some phenomena in liquid crystals and superconductors. To approximate numerical integrals in the local weak forms, the MLS and GMLS approximations are used in MLPG and DMLPG methods, respectively. The distribution of regular and scattered points on rectangular and irregular domains has been used to extract the numerical results. By comparing the numerical results, it can be seen that the DMLPG methods are faster, more accurate, and more efficient than the MLPG methods. These are because the GMLS approximation uses the basis polynomials instead of the complex shape functions of the MLS approximation.

Suggested Citation

  • Shokri, Ali & Bahmani, Erfan, 2021. "A study of nonlinear systems arising in the physics of liquid crystals, using MLPG and DMLPG methods," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 187(C), pages 261-281.
  • Handle: RePEc:eee:matcom:v:187:y:2021:i:c:p:261-281
    DOI: 10.1016/j.matcom.2021.02.024
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S037847542100063X
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.matcom.2021.02.024?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    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:eee:matcom:v:187:y:2021:i:c:p:261-281. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    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.