Abdulghani Alharbi1, Mahmoud A. E. Abdelrahman1, 2, *, M. B. Almatrafi1
CMES-Computer Modeling in Engineering & Sciences, Vol.122, No.2, pp. 743-756, 2020, DOI:10.32604/cmes.2020.07996
Abstract 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. More >
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