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Open Access Research Article

Numerical simulation of Korteweg-de Vries equation with moving boundaries

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pp. 861–873Vol. 29Issue 4April 2026DOI: 10.47974/JIM-2324XML
Received:
01 Jan 2025
Published Online:
24 Mar 2026
Article type:
Research Article
Language:
EN
Article no.:
JIM-2324
Pages:
861–873

Abstract

We consider the Korteweg–de Vries equation posed on a spatial interval whose endpoints evolve in time. The spatial discretization is carried out by a Galerkin finite-element formulation based on B-spline basis functions, whereas temporal integration uses the Crank–Nicolson scheme. Benchmark tests confirm that the proposed algorithm attains high accuracy while remaining computationally efficient. The results illustrate that the method robustly captures wave propagation in domains with moving boundaries.

Keywords

Subject Classifications

35Q5335R3765N2265M60

References

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