Year: 2026
Type: article
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.
DOI: 10.47974/jim-2324
Author: Nurbol Koshkarbayev
Institution: Institute of Mathematics and Mathematical Modeling
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W7152646841