TY - EJOU
AU - Alharbi, Abdulghani
AU - Abdelrahman, Mahmoud A. E.
AU - Almatrafi, M. B.
TI - Analytical and Numerical Investigation for the DMBBM Equation
T2 - Computer Modeling in Engineering \& Sciences
PY - 2020
VL - 122
IS - 2
SN - 1526-1506
AB - The nonlinear dispersive modified Benjamin-Bona-Mahony (DMBBM)
equation is solved numerically using adaptive moving mesh PDEs (MMPDEs) method.
Indeed, the exact solution of the DMBBM equation is obtained by using the extended
Jacobian elliptic function expansion method. The current methods give a wider
applicability for handling nonlinear wave equations in engineering and mathematical
physics. The adaptive moving mesh method is compared with exact solution by numerical
examples, where the explicit solutions are known. The numerical results verify the accuracy
of the proposed method.
KW - DMBBM equation
KW - Jacobian elliptic functions
KW - moving mesh PDEs (MMPDEs)
KW - moving adaptive scheme
KW - solitary waves
DO - 10.32604/cmes.2020.07996