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Advances in Continuous and Discrete Models

Theory and Modern Applications

Figure 2 | Advances in Difference Equations

Figure 2

From: Discrete monotone method for space-fractional nonlinear reaction–diffusion equations

Figure 2

Approximate solution of the problem (1) with reaction function (61) using the DM method, with differentiation order (a) \(\alpha = 1.01\), (b) \(\alpha = 1.2\), (c) \(\alpha = 1.4\), (d) \(\alpha = 1.6\), (e) \(\alpha = 1.8\), and (f) \(\alpha = 2\). The solutions were calculated over \(\varOmega = (0, 1)\), and using \(K = 0.1\) and \(T = 1\). Computationally, we let \(h = \tau = 0.01\)

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