Mekki Ayadi

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The popular 2D Fisher-KPP equation with constant parameters fails to predict activated or inhibited cell-sheet wound closure. Here, we consider the case where the collective diffusion coefficient is time dependent, with a 3-parameter sigmoid profile. The sigmoid is taken S-shaped for the activated assays, and Z-shaped for the inhibited ones. For two(More)
Keywords: KP–BBM-II equations Crank–Nicholson method Finite difference scheme Convergence Stability a b s t r a c t In this paper, the finite difference method is employed to solve Kadomtsev–Petviashvili– Benjamin–Bona–Mahony II (KP–BBM-II) partial differential equations. The time and space variable are discretized by the Crank–Nicholson method and the(More)
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