Numerical scheme for the solution of the “bad” Boussinesq equation 2025 (English)In: Applied Numerical Mathematics, ISSN 0168-9274, E-ISSN 1873-5460, Vol. 217, p. 216-233Article in journal (Refereed) Published

Abstract [en]

We present a numerical scheme for the solution of the initial-value problem for the “bad” Boussinesq equation. The accuracy of the scheme is tested by comparison with exact soliton solutions as well as with recently obtained asymptotic formulas for the solution.

Place, publisher, year, edition, pages

Elsevier BV , 2025. Vol. 217, p. 216-233

Keywords [en]

Asymptotics, Boussinesq equation, Ill-posed problem, Numerical scheme, Solitons

National Category

Mathematical Analysis Computational Mathematics

Identifiers

URN: urn:nbn:se:kth:diva-368655DOI: 10.1016/j.apnum.2025.06.011ISI: 001522814500002Scopus ID: 2-s2.0-105008955934OAI: oai:DiVA.org:kth-368655DiVA, id: diva2:1991007

Note

QC 20250821

Available from: 2025-08-21 Created: 2025-08-21 Last updated: 2025-08-21Bibliographically approved

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Charlier, ChristopheEriksson, DanielLenells, Jonatan

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Charlier, ChristopheEriksson, DanielLenells, Jonatan

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Analysis, Dynamics, Geometry, Number Theory and PDE

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Applied Numerical Mathematics

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Mathematical AnalysisComputational Mathematics

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