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Theory and Modern Applications

Figure 7 | Advances in Difference Equations

Figure 7

From: Mathematical analysis and numerical simulation of two-component system with non-integer-order derivative in high dimensions

Figure 7

Numerical pattern results in 3D for fractional-in-space reaction-diffusion system ( 2.7 ) using kinetics ( 4.3 ) with both Neumann (upper row) and Dirichlet (lower row) boundary conditions at different instances of \(\pmb{\alpha=0.5, 1.1, 1.5}\) . Parameter values are \(\sigma=0.2, \beta=1.0, \gamma=0.5, D=1.5\mathrm{e}{-}4\) at \(t=10.0\) with \(L=10\), the initial condition is given in (4.5).

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