An efficient numerical method for solving the Korteweg-de Vries equation in a class of discontinuous functions

DOI10.1016/S0096-3003(98)10022-XzbMath0933.65102OpenAlexW1975693369MaRDI QIDQ1294203

Erhan Coskun, Mahir A. Rasulov

Publication date: 20 March 2000

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(98)10022-x

zbMATH Keywords

weak solutionnumerical examplesdifference schemeKorteveg-deVries equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) PDEs with low regular coefficients and/or low regular data (35R05)

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Cites Work

• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• Korteweg‐devries equation and generalizations. VI. methods for exact solution
• Method for Solving the Korteweg-deVries Equation
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