http://www.chebfun.org/examples/pde/GrayScott.html WebJun 4, 2024 · odeint支持带状的雅可比矩阵。对于已知为刚性的大型微分方程组，这可以显着提高性能。 例如，我们将使用线[MOL]的方法求解一维Gray-Scott偏微分方程。Gray-Scott方程包含v(x,t)和u(x,t),在区间[0,L] 上面有以下两个式子：
反応拡散系Gray-Scottモデルのラプラシアンについて調べる
http://xb.dlnu.edu.cn/CN/Y2016/V18/I3/233 http://www.zkxb.ldu.edu.cn/__local/D/4F/80/EF5BC699C1CEF03562A0A8D5FC0_3BB007C7_4FCF4.pdf tina riley facebook
Reaction-Diffusion by the Gray-Scott Model: Pearson
Web方程的热心让晓月感激，后来方程还为晓月打退前来骚扰纠缠的丈夫。 但妮妮开始越来越不对劲，她开始把自己关在房间，和一个不存在的人说话。 被问起来，她说自己有个朋友叫心仪。 Web23. Gray-Scott equations...stripes and spots, waves and rolls 24. KdV equation...solitons and inverse scattering 26. Sine-Gordon equation...wave propagation with nonlinear forcing 29. Compacton equations...approximate solitons with compact support 29. Blow-up equation with u^p nonlinearity...blow-up in finite time 29. The Gray-Scott equations are a pair of coupled reaction-diffusion equations that lead to interesting patterns [1,2,3]. Let us look at two examples in 2D. The equations are ut=ε1Δu+b(1−u)−uv2,vt=ε2Δv−dv+uv2, where Δ is the Laplacian and ε1,ε2,b,dare parameters. To begin with we choose these values. We now solve … See more If we change the values of the parameters just a bit, the nature of the solution changes fundamentally. Now we see spots instead of rolls. See more Not all choices of parameters lead to interesting pictures. With b=0.02 and d=0.08, for example, the functions converge to constants. See more P. Gray and S. K. Scott, Chemical Oscillations and Instabilities: Non-linear Chemical Kinetics, v. 21 of International Series of Monographs on Chemistry, 1994. L. N. Trefethen and K. Embree, editors, article 23 on … See more The initial conditions in the simulations above were chosen with a line of symmetry tilted at a certain angle from the axis. For a dynamical process so sensitive as this to small perturbations, this provides a challenging test of … See more tina riehle school board