Geodesic
A new high-order accurate difference scheme for the Benjamin-Bona-Mahoney-Burgers (BBMB) equation
Filomat, Tome 36 (2022) no. 13, p. 4599

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

In this article, a high-order linearized difference scheme is presented for the periodic initial value problem of the Benjamin-Bona-Mahoney-Burgers (BBMB) equation. It is proved that the proposed scheme is uniquely solvable and unconditionally convergent, with convergence order of O(h 4 + k 2) in the L ∞-norm. An application on the regularised long wave is thoroughly studied numerically. Furthermore, interaction of solitary waves with different amplitudes is shown. The three invariants of the motion are evaluated to determine the conservation properties of the system. Numerical experiments including the comparisons with other numerical methods are reported to demonstrate the accuracy and efficiency of our difference scheme and to confirm the theoretical analysis.
DOI : 10.2298/FIL2213599B
Classification : 65M06, 65M12, 65M15
Keywords: BBMB equation, high order linearized difference scheme, solvability, convergence, solitary waves 
Khedidja Bayarassou; Khaled Omrani. A new high-order accurate difference scheme for the Benjamin-Bona-Mahoney-Burgers (BBMB) equation. Filomat, Tome 36 (2022) no. 13, p. 4599 . doi: 10.2298/FIL2213599B
@article{10_2298_FIL2213599B,
     author = {Khedidja Bayarassou and Khaled Omrani},
     title = {A new high-order accurate difference scheme for the {Benjamin-Bona-Mahoney-Burgers} {(BBMB)} equation},
     journal = {Filomat},
     pages = {4599 },
     year = {2022},
     volume = {36},
     number = {13},
     doi = {10.2298/FIL2213599B},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2213599B/}
}
TY  - JOUR
AU  - Khedidja Bayarassou
AU  - Khaled Omrani
TI  - A new high-order accurate difference scheme for the Benjamin-Bona-Mahoney-Burgers (BBMB) equation
JO  - Filomat
PY  - 2022
SP  - 4599 
VL  - 36
IS  - 13
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2213599B/
DO  - 10.2298/FIL2213599B
LA  - en
ID  - 10_2298_FIL2213599B
ER  - 
%0 Journal Article
%A Khedidja Bayarassou
%A Khaled Omrani
%T A new high-order accurate difference scheme for the Benjamin-Bona-Mahoney-Burgers (BBMB) equation
%J Filomat
%D 2022
%P 4599 
%V 36
%N 13
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2213599B/
%R 10.2298/FIL2213599B
%G en
%F 10_2298_FIL2213599B

Cité par Sources :