Numerical simulation of the generalized modified Benjamin–Bona–Mahony equation using SBP-SAT in time

In this paper we present high-order accurate finite difference approximations for solving the generalized modified Benjamin–Bona–Mahony (BBM) equation, a non-linear soliton model. The spatial discretization uses high-order accurate summation-by-parts (SBP) finite difference operators combined with b...

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Bibliographic Details
Published in:	Journal of computational and applied mathematics Vol. 459; p. 116377
Main Authors:	Kjelldahl, Vilma, Mattsson, Ken
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 15.05.2025
Subjects:	Benjamin-Bona-Mahony equation Beräkningsvetenskap med inriktning mot numerisk analys Boundary conditions Initial boundary value problem Non-linear Scientific Computing with specialization in Numerical Analysis Simultaneous-approximation-terms Summation-by-parts Time integration Initial boundary value problem Benjamin–Bona–Mahony equation Summation-by-parts Non-linear Boundary conditions Time integration Simultaneous-approximation-terms
ISSN:	0377-0427, 1879-1778
Online Access:	Get full text
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