Figure 3From: Numerical study and stability of the Lengyel–Epstein chemical model with diffusion(a)–(d) Numerical solutions of system (32) using nonstandard finite difference scheme. Here, \(u_{0} = 1 + \sin (x)\) and \(v_{0} = 2 + \cos (x)\), with \(l = 5\), \(m = 1\), \(\kappa_{1} =0.01\), and \(\kappa_{2} =0.01\). (Top) The concentration of \(v(\tau )\) is on the left while the concentration of \(v(\tau )\) is on the right. (Bottom) The solutions \(v(x,\tau )\) and \(u(x,\tau )\) tend to the constant steady state. (e)–(h) Numerical solutions of system (32) sing nonstandard finite difference scheme. Here, \(u_{0} = 1 + \sin (x)\) and \(v_{0} = 2 + \cos (x)\), with \(l = 10\), \(m = 5\), \(\kappa_{1} =0.01\), and \(\kappa_{2} =0.01\). (Top) The solutions \(v(x,\tau )\) and \(u(x,\tau )\) tend to the spatially nonhomogeneous steady state. (Bottom) The projected views onto the xτ-plane at \(\tau = 20\) for \(v(x,\tau )\) and \(u(x,\tau )\). The stripe structure invades the nonhomogeneous steady states for \(v(x,\tau )\) and \(u(x,\tau )\)Back to article page