2k views

Couple a PDE and ODE in NDSolve

I would like to solve an example of non-stationary heat transfer with a coupled PDE and ODE. Let's assume that we have 1 dimensional bar of length $L$ with uniform initial temperature. The right end ...
• 6,513
2k views

Solving coupled PDE and ODE

I want to solve a system of partial differential equation in Mathematica. equation is: $y_0 = 0.5, t_0 = 30, λ_{12} = 0.3, λ_{13} = λ_{23} = 0.01, λ_{21} = 2.8$ I am new in Mathematica. Please help ...
• 21
573 views

Simulating a combination of PDEs and ODEs

I am trying to simulate a combination of PDEs and ODEs, given below.  \begin{matrix} -L\dfrac{\partial}{\partial t}I(t,z)&=&\dfrac{\partial}{\partial z}V(t,z)+RI(t,z)\\ C\dfrac{\...
• 495
1k views

NDSolve: Couple PDE and ODE involving integral

I am trying to numerically solve an equation with NDSolve, where there is a ODE coupled to a PDE, like the following: ...
• 51
508 views

1-D PDE with nonlinear ODE as boundary condition

Recently, I am trying to solve a 1-D PDE with a nonlinear boundary condition using the function NDSolveValue. However, it seems that MMA (12) cannot solve it directly with some computational issues. ...
• 329
2k views

NDSolve two PDE plus one ODE, together

I have a couple of PDE (time and space/length) that are correctly managed by NDSolve, but to which I’m adding an ODE on which the acc “accumulates”, through time, a ...
• 6,675
611 views

NDSolve a system of one PDE coupled with an ODE

I would like to solve a partial differential equation where one of the boundary conditions is the solution of an ordinary differential equation that is coupled to the partial differential equation. ...
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