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The commands below T = 100; n = 5; m = 5; vars = Table[Subscript[x, j][t], {i, n}, {j, i}]; eqns = Table[{Subscript[x, j]'[t] == Subscript[x, j][ t] (1 - (Sum[ If[j == k, …

I have a problem in solving a type of ODE from NDSolve. Specifically I want to know the solution at time T (say T=50). The number of differential equations increases at each iteration. This equations …

I want to Plot Derivatives of ODE system. n = 10; T = 20; r = 1.4; A1 = 1; A2 = 0.01; RPT = 5; IC = Table[RandomReal[{$MachineEpsilon, 1}, n], {j, RPT}]; eqns = Table[{x[i]'[t] == x[i][t] (r - …

I want to solve a mixed PDE Parabolic-Elliptic system, subject to initial conditions u(x,y,0)=1 and v(x,y,0)=2-0.5 cos[(Pi x)/5]. The respective code version with parameters value, boundary and i …

I would like to solve a PDE system reaction-diffusion type (2D spatial + 1 temporal) coupled as described below. Another question of this same system was solved here: System of nonlinear PDE 2D (React …

I have an ODE system that increases in size according to the rules n = 5; T = 50; nu = 0.05; vars = Table[Subscript[x, j][t], {i, n}, {j, i}]; eqns = Table[{Subscript[x, j]'[t] == Subscript[x, j …

I want simulate a reaction-diffusion system described by a PDE called the FitzHugh–Nagumo equation. The system that has been proposed by Alan Turing as a model of animal coat pattern formation and is …

I have an ODE system which solves of n variables, with initial conditions defined using the previous differential equation solution of n-1 variables and with an initial condition for the last variable …

I want to solve a system of Pde (2D) reaction diffusion type using NDSolve whose boundary conditions are and the initial conditions are or I thought of the following code (*parameters*) …

I have a PDE system, whose functions are $a=a(t, x, y)$, $b=b(t,x,y)$, and $c=c(t,x,y)$, with Dirichlet null boundary conditions and initial conditions in the form of circle. The respective co …

I'm trying to solve a PDE system reaction-diffusion type (2D spatial + 1 temporal) coupled as described below. Another question of this same system was solved here: System of nonlinear PDE 2D (Reacti …

I would like to solve numerically a modified Laplace PDE (with source terms) and which have a second-order mixed partial derivative, and is limited to the following region and periodic boundary …

I want to solve a mixed PDE Parabolic-Elliptic system in 3-dimension (rectangular coordinate), as shown below: The respective code version with parameters value, boundary and initial conditions is, …

I'm trying to solve a one-dimensional heat equation (PDE) with the Fourier transform numerically, in the way it was done here. The equation: , is subject to the initial condition: , where U(x,t) is t …

I would like to solve the 2D-spatial Allen equation in rectangular coordinate, which is a nonlinear reaction-diffusion PDE of the type $$\partial_{t}u=\epsilon(\partial_{xx}+\partial_{yy})u + u - u^{3 …