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A novel convenient finite difference method for shallow water waves derived by fifth‐order Kortweg and De‐Vries‐type equation.

  • Published In: Numerical Methods for Partial Differential Equations, 2023, v. 39, n. 1. P. 254 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Poochinapan, Kanyuta; Wongsaijai, Ben 3 of 3

Abstract

In this research, two new finite difference schemes are derived and presented for estimating a solution to the fifth‐order Kortweg and De‐Vries equation. The global conservation law on any time–space regions which yields a three‐level linear‐implicit algorithm with a diagonal system is exactly preserved by the intended finite difference method. Theoretically verified and numerically proved, the created schemes are unconditionally stable and have the second‐order accuracy both in time and space. The obtained results guarantee that the novel idea offers a new aspect to analyze the wave behavior. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Numerical Methods for Partial Differential Equations. 2023/01, Vol. 39, Issue 1, p254
  • Document Type:Article
  • Subject Area:Science
  • Publication Date:2023
  • ISSN:0749-159X
  • DOI:10.1002/num.22875
  • Accession Number:160053072
  • Copyright Statement:Copyright of Numerical Methods for Partial Differential Equations is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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