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Results tagged with ode
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user 9692
Ordinary Differential Equations (ODEs) contain functions of only one independent variable, and one or more of their derivatives with respect to that variable. This tag is intended for questions on modeling phenomena with ODEs, solving ODEs, and other related aspects.
5
votes
1
answer
79
views
Solving an ODE while maintaining weak positivity and weak monotonicity
QUESTION:
What is the best numerical algorithm (or transformation of the ODE) to solve this problem? …
- 376
3
votes
0
answers
248
views
Spectral Collocation (or Weighted Residual) Methods to solve Stiff ODEs?
Now, evaluate the ODE given a $\{a_i\}$ at the roots of the polynomial basis (which can be shown to be optimal) and find the residual. … It might seem odd that there is a $F_{\ell}'(0)$ and a $F_h'(0)$ in the ODE as parameters but this is not a mistake. …
- 376
1
vote
1
answer
120
views
Appropriate algorithm for (non-linear) ODE with integral equilibrium constraint: collocation?
structure: For some scalar $g$, functions $F(z)$ and $h(z)$ defined on $[0,\bar{z}]$ , and a non-linear operator $\phi(F,z)$ (in reality, $F$ and $h$ are vector valued)
The $F(z)$ and $g$ must fulfill the ODE … I can solve the non-linear ODE with finite differences (and some shooting method in a more complicated variation), but a nested iteration with the integral equilibrium condition is difficult and expensive …
- 376