Abstract
This paper attempts to carry out a study on a specific type
of time-fractional differential equation called Benjamin-Bona-MahonyBurger (BBM-Burger). This equation describes the mathematical model
of unidirectional transmission of low-amplitude long wavesthrough frequencydependent dispersive media. To go ahead the research, optimal homotopy
asymptotic method (OHAM) and its new version (NOHAM) are applied
to find analytic approximations to the BBM-Burger equation using the
symbolic Maple package. Moreover, convergence of the both methods are
addressed. The approximate results of the proposed methods are compared with the exact solution of BBM-Burger equation. What we learn
from the results of applying OHAM and NOHAM on the BBM-Burger
equation, is the high satisfactory accuracy. However, NOHAM produces
an approximate solution with lower computational cost, than OHAM.
Jafar Biazar, Saghi Safaei. (2020) An Analytic Approximation for Time-Fractional BBM-Burger Equation, Punjab University Journal of Mathematics, Volume 52 , Issue No 8.
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