Publications
Article · Journal of Interdisciplinary Mathematics · January 1, 2026
Numerical simulation of Korteweg-de Vries equation with moving boundaries
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.
Advanced Numerical Methods in Computational MathematicsNumerical Solvers for Ordinary Differential EquationsAdvanced Mathematical Physics ProblemsKorteweg-de Vries equationmoving boundarytime-dependent domains
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