期刊
CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES
卷 122, 期 2, 页码 743-756出版社
TECH SCIENCE PRESS
DOI: 10.32604/cmes.2020.07996
关键词
DMBBM equation; Jacobian elliptic functions; moving mesh PDEs (MMPDEs); moving adaptive scheme; solitary waves
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.
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