[UPDATED]
I have the following system of partial differential algebraic equations:
\frac{1}{H}\frac{\partial H}{\partial t} = - \frac{\partial W}{\partial x} - \frac{f_1(H,c,W)}{H},
\frac{1}{H}\frac{\partial}{\partial t}(H c) = - \frac{\partial}{\partial x}(W c) - \frac{f_2(H,W,c)}{H}...
Hi Everyone,
I am trying to solve a system of non-linear differential equations coupled to algebraic expressions:
W(x)' = f(Cn(x)), where n = 1:6
C1(x)' = f(Cn(x),V1(x),V2(x))
C2(x)' = f(Cn(x),V1(x),V2(x)),
C3(x)' = f(Cn(x),V1(x),V2(x)),
V1(x)'' = f(Cn(x),V1(x),V2(x)),
0 =...
I have an overdetermined nonlinear system of ODEs:
W' = f(c)
c'' = f(W,W',c)
and boundary conditions
W(0)=a,W(L)=-a
c(0)=c(L)-b
I can split up the equations into three first order ODEs, and solve numerically with Matlab. I would like to use bvp4c, but I believe I have too many...
Thank you for your reply!
I am not familiar with the FEM, although I am familiar with finite difference methods, which is what this seems to be as you have written it above, but for an ODE. If I make the above assumption, I will get
y_{i+1} = y_{i}(hb+1) + ha...
I'm intending to solve the following BVODE:
\frac{dy}{dx} & = & a + by,
\frac{d^{2}z}{dx^{2}} & = & {\alpha}y\frac{dz}{dx} - \beta +cz\frac{dy}{dx}.
I have the boundary values for both y and z at x=0, L, however I do NOT have any values for either first derivatives...