On Thu, 11 Mar 2010, Liang wrote:

> the examples 6&8 about wave equation take the Me_ij*u_tt+Ce*u_t+Ke*u=f,
> while the convection-diffustion equation of exmaples 9-10 take
> \tilde{Ke}*u=f instead of Ce*u_t+Ke*u=f, and \tilde{Ke} contains the
> time rate term.
>
> I understand both method should work perfect, but why providing two
> different implement method for time-dependent problem, does it depend on
> the order of time rate?

Yes.

> if my equation is 1st-order rate PDE, which
> iuput method is better.

The second.

> anther question is about the coefficient 0.5*dt in the exmaples 9-10, I
> can't understand the physical meaning of this 0.5.

It comes from the Crank-Nicolson time discretization, IIRC.
---
Roy

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