IDEAS home Printed from https://ideas.repec.org/a/wly/jnljam/v2023y2023i1n9920157.html

Theoretical Error Analysis of Hybrid Finite Difference–Asymptotic Interpolation Method for Non‐Newtonian Fluid Flow

Author

Listed:
  • Shafaruniza Mahadi
  • Su Hoe Yeak
  • Norazam Arbin
  • Faisal Salah

Abstract

In this paper, we utilized a hybrid method for the unsteady flow of the non‐Newtonian third‐grade fluid that combines the finite difference with the asymptotic interpolation method. This hybrid method is used to satisfy the semiunbound domain condition of the fluid flow’s length approaching infinity. The primary issue with this research is how much of the hybrid approach’s error may be accepted to guarantee that the method is significant. This paper discussed theoretical error analysis for numerical solutions, including the range and norm of error. The perturbation method’s concept is used to assess the hybrid method’s error. It is discovered that the hybrid approach’s relative error norm is lower than that of the finite difference method. In terms of the error standard, the hybrid approach is more consistent. Error analysis is performed to check for the accuracy as well as the platform for variable mesh size finite difference method in the future research.

Suggested Citation

  • Shafaruniza Mahadi & Su Hoe Yeak & Norazam Arbin & Faisal Salah, 2023. "Theoretical Error Analysis of Hybrid Finite Difference–Asymptotic Interpolation Method for Non‐Newtonian Fluid Flow," Journal of Applied Mathematics, John Wiley & Sons, vol. 2023(1).
    • Handle: RePEc:wly:jnljam:v:2023:y:2023:i:1:n:9920157
    DOI: 10.1155/2023/9920157
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2023/9920157
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2023/9920157?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. Mehmet Şenol & İhsan Timuçin Dolapçı & Yiğit Aksoy & Mehmet Pakdemirli, 2013. "Perturbation-Iteration Method for First-Order Differential Equations and Systems," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-6, May.
    2. Süleyman Cengizci, 2017. "An Asymptotic-Numerical Hybrid Method for Solving Singularly Perturbed Linear Delay Differential Equations," International Journal of Differential Equations, Hindawi, vol. 2017, pages 1-8, February.
    3. Mehmet Şenol & İhsan Timuçin Dolapçı & Yiğit Aksoy & Mehmet Pakdemirli, 2013. "Perturbation‐Iteration Method for First‐Order Differential Equations and Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    4. Wenqun Xiu & Shuying Wang & Wenguang Qi & Xue Li & Chisheng Wang, 2021. "Disaster Chain Analysis of Landfill Landslide: Scenario Simulation and Chain-Cutting Modeling," Sustainability, MDPI, vol. 13(9), pages 1-22, April.
    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. Arsalan Ahmed Othman & Ahmed K. Obaid & Diary Ali Mohammed Al-Manmi & Mohammad Pirouei & Sarkawt Ghazi Salar & Veraldo Liesenberg & Ahmed F. Al-Maamar & Ahmed T. Shihab & Younus I. Al-Saady & Zaid T. , 2021. "Insights for Landfill Site Selection Using GIS: A Case Study in the Tanjero River Basin, Kurdistan Region, Iraq," Sustainability, MDPI, vol. 13(22), pages 1-29, November.

    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:2023:y:2023:i:1:n:9920157. 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.