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Results tagged with time-integration
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user 7567
For questions about the particulars of solving differential equations with time as the independent variable.
4
votes
Accepted
How to physically understand time dependent boundary conditions?
For the heat equation imagine a rod that is heated on the left and cooled on the right. Now imagine that instead of a constant prescribed temperature on the left what we want is the heat to steadily r …
- 1,929
19
votes
1
answer
24k
views
How to formulate lumped mass matrix in FEM
When solving time dependent PDE's using the finite element method, for example say the heat equation, if we use explicit time stepping then we have to solve a linear system because of the mass matrix. …
- 1,929
1
vote
Time Integration of a nonlinear reaction-diffusion system
As a first pass I would suggest a splitting scheme. Do an implicit timestepping scheme (e.g. CN) for the diffusion part for both u and v equations. Then do an explicit step for the nonlinear terms (e. …
- 1,929
3
votes
Accepted
Looking for a particular algorithm for numerical integration
I will answer for the simplest case:
$\frac{dy}{dt} = -\lambda{y}, \hspace{4mm} y(0)=1$
Note: You need an initial condition which you did not specify in your original question.
In this simple prob …
- 1,929