Numerical scheme for the solution of the “bad” Boussinesq equation
(2025) In Applied Numerical Mathematics 217. p.216-233- Abstract
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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/5dbda718-0a19-42ac-bde4-43584711c94b
- author
- Charlier, Christophe LU ; Eriksson, Daniel LU and Lenells, Jonatan LU
- organization
- publishing date
- 2025-11
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Asymptotics, Boussinesq equation, Ill-posed problem, Numerical scheme, Solitons
- in
- Applied Numerical Mathematics
- volume
- 217
- pages
- 18 pages
- publisher
- Elsevier
- external identifiers
-
- scopus:105008955934
- ISSN
- 0168-9274
- DOI
- 10.1016/j.apnum.2025.06.011
- language
- English
- LU publication?
- yes
- id
- 5dbda718-0a19-42ac-bde4-43584711c94b
- date added to LUP
- 2025-10-29 15:30:48
- date last changed
- 2025-10-29 15:31:02
@article{5dbda718-0a19-42ac-bde4-43584711c94b,
abstract = {{<p>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.</p>}},
author = {{Charlier, Christophe and Eriksson, Daniel and Lenells, Jonatan}},
issn = {{0168-9274}},
keywords = {{Asymptotics; Boussinesq equation; Ill-posed problem; Numerical scheme; Solitons}},
language = {{eng}},
pages = {{216--233}},
publisher = {{Elsevier}},
series = {{Applied Numerical Mathematics}},
title = {{Numerical scheme for the solution of the “bad” Boussinesq equation}},
url = {{http://dx.doi.org/10.1016/j.apnum.2025.06.011}},
doi = {{10.1016/j.apnum.2025.06.011}},
volume = {{217}},
year = {{2025}},
}