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Results tagged with parabolic-pde
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user 11531
A partial differential equation that describes diffusion phenomena.
5
votes
2
answers
4k
views
Crank-Nicolson method for solving nonlinear parabolic PDEs
Is the Crank-Nicolson method appropriate for solving a system of nonlinear parabolic PDEs like $\partial u/\partial t - a\Delta u + u^4 = 0$ ?
I tried to apply this method for solving such system but …
- 281
-1
votes
1
answer
119
views
Libraries with the method of lines for parabolic PDEs [closed]
Could you please advise some programs or libraries for solving parabolic PDEs (or its systems) in 1D, 2D and 3D, for example, with the method of lines? The system of parabolic PDEs can be nonlinear in …
- 281
2
votes
0
answers
159
views
Solvers for stiff initial value ODEs with sparse Jacobian
What ODE solvers are optimized for solving stiff systems with sparse Jacobian? Such systems appear, for instance, when a parabolic PDE is discretized in space using typical finite difference or finite …
- 281
2
votes
3
answers
2k
views
Applying the method of lines to parabolic PDEs: references and software
Could you please advise some literature about the numerical method of lines (MOL) for parabolic PDEs? It is a method of solving PDEs with discretizing only by space but not by time. A system of ODEs i …
- 281