IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v350y2019icp416-433.html
   My bibliography  Save this article

A sixth-order numerical method for a strongly nonlinear singular boundary value problem governing electrohydrodynamic flow in a circular cylindrical conduit

Author

Listed:
  • Roul, Pradip
  • Madduri, Harshita
  • Kassner, Klaus

Abstract

This paper is concerned with the nonlinear singular boundary value problems for the electrohydrodynamic flow of a fluid in an ion drag configuration in a circular cylindrical conduit. The nonlinearity confronted in this problem is in the form of rational function. We develop a sixth-order numerical method based on sextic B-spline basis functions to obtain a more accurate result for such problem. The velocity field emerging in the electrohydrodynamic flow is computed. Further, the effects of the strength of nonlinearity and the Hartmann electric number on the velocity field are studied. The computational results reveal that nondimensional velocity at the centre line of the conduit increases with increasing Hartmann electric number and decreases with the increasing strength of nonlinearity. Error analysis of the sextic B-spline interpolation is supplemented.

Suggested Citation

  • Roul, Pradip & Madduri, Harshita & Kassner, Klaus, 2019. "A sixth-order numerical method for a strongly nonlinear singular boundary value problem governing electrohydrodynamic flow in a circular cylindrical conduit," Applied Mathematics and Computation, Elsevier, vol. 350(C), pages 416-433.
    • Handle: RePEc:eee:apmaco:v:350:y:2019:i:c:p:416-433
    DOI: 10.1016/j.amc.2018.12.070
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300318311317
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2018.12.070?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.

    References listed on IDEAS

    as
    1. Roul, Pradip & Prasad Goura, V.M.K., 2019. "B-spline collocation methods and their convergence for a class of nonlinear derivative dependent singular boundary value problems," Applied Mathematics and Computation, Elsevier, vol. 341(C), pages 428-450.
    2. Goura, V.M.K. Prasad & Roul, Pradip, 2019. "Erratum to: B-spline collocation methods and their convergence for a class of nonlinear derivative dependent singular boundary value problems," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 198-201.
    3. S. C. S. Rao & M. Kumar, 2007. "B-Spline Collocation Method for Nonlinear Singularly-Perturbed Two-Point Boundary-Value Problems," Journal of Optimization Theory and Applications, Springer, vol. 134(1), pages 91-105, July.
    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. Naveed Ahmad Khan & Muhammad Sulaiman & Carlos Andrés Tavera Romero & Fawaz Khaled Alarfaj, 2021. "Numerical Analysis of Electrohydrodynamic Flow in a Circular Cylindrical Conduit by Using Neuro Evolutionary Technique," Energies, MDPI, vol. 14(22), pages 1-19, November.
    2. Roul, Pradip & Prasad Goura, V.M.K., 2022. "A superconvergent B-spline technique for second order nonlinear boundary value problems," Applied Mathematics and Computation, Elsevier, vol. 414(C).
    3. Roul, Pradip & Prasad Goura, V.M.K., 2020. "A high order numerical method and its convergence for time-fractional fourth order partial differential equations," Applied Mathematics and Computation, Elsevier, vol. 366(C).
    4. Amit K. Verma & Biswajit Pandit & Lajja Verma & Ravi P. Agarwal, 2020. "A Review on a Class of Second Order Nonlinear Singular BVPs," Mathematics, MDPI, vol. 8(7), pages 1-50, June.

    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. Roul, Pradip & Prasad Goura, V.M.K., 2022. "A superconvergent B-spline technique for second order nonlinear boundary value problems," Applied Mathematics and Computation, Elsevier, vol. 414(C).
    2. Roul, Pradip & Prasad Goura, V.M.K., 2020. "A high order numerical method and its convergence for time-fractional fourth order partial differential equations," Applied Mathematics and Computation, Elsevier, vol. 366(C).
    3. Swati, & Singh, Mandeep & Singh, Karanjeet, 2023. "An efficient technique based on higher order Haar wavelet method for Lane–Emden equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 206(C), pages 21-39.
    4. Ramos, Higinio & Rufai, Mufutau Ajani, 2022. "An adaptive pair of one-step hybrid block Nyström methods for singular initial-value problems of Lane–Emden–Fowler type," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 193(C), pages 497-508.
    5. Xie, Qichang & Sun, Qiankun, 2019. "Computation and application of robust data-driven bandwidth selection for gradient function estimation," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 274-293.
    6. Roul, Pradip & Prasad Goura, V.M.K. & Agarwal, Ravi, 2019. "A compact finite difference method for a general class of nonlinear singular boundary value problems with Neumann and Robin boundary conditions," Applied Mathematics and Computation, Elsevier, vol. 350(C), pages 283-304.
    7. Amit K. Verma & Biswajit Pandit & Lajja Verma & Ravi P. Agarwal, 2020. "A Review on a Class of Second Order Nonlinear Singular BVPs," Mathematics, MDPI, vol. 8(7), pages 1-50, June.
    8. S. C. S. Rao & S. Kumar & M. Kumar, 2011. "Uniform Global Convergence of a Hybrid Scheme for Singularly Perturbed Reaction–Diffusion Systems," Journal of Optimization Theory and Applications, Springer, vol. 151(2), pages 338-352, November.
    9. Goura, V.M.K. Prasad & Roul, Pradip, 2019. "Erratum to: B-spline collocation methods and their convergence for a class of nonlinear derivative dependent singular boundary value problems," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 198-201.
    10. S. C. S. Rao & S. Kumar & M. Kumar, 2010. "A Parameter-Uniform B-Spline Collocation Method for Singularly Perturbed Semilinear Reaction-Diffusion Problems," Journal of Optimization Theory and Applications, Springer, vol. 146(3), pages 795-809, September.
    11. Shabanam Kumari & Arvind Kumar Singh & Utsav Gupta, 2024. "Collocation Technique Based on Chebyshev Polynomials to Solve Emden–Fowler-Type Singular Boundary Value Problems with Derivative Dependence," Mathematics, MDPI, vol. 12(4), pages 1-16, February.
    12. Chandra Sekhara Rao, S. & Chaturvedi, Abhay Kumar, 2022. "Analysis of an almost fourth-order parameter-uniformly convergent numerical method for singularly perturbed semilinear reaction-diffusion system with non-smooth source term," Applied Mathematics and Computation, Elsevier, vol. 421(C).

    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:apmaco:v:350:y:2019:i:c:p:416-433. 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: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    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.