Abstract
In this paper, we consider the generalized Benjamin–Bona–Mahony (BBM) equation with a fractional order derivative in time. By introducing a weighted approach and basing on the L 2 - 1 σ formula, a linearized finite difference scheme is proposed to solve the nonlinear problem. The scheme is shown to be unconditionally convergent with second-order in time and space within maximum-norm estimate.
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