Esquema centrado explicito
Ecuación
$\displaystyle\frac{u_j^{n+1}-u_j^n}{\Delta t}+a\displaystyle\frac{u_{j+1}^n-u_{j-1}^n}{2\Delta x}=0$ |
ID:(10351, 0)
Esquema centrado implícito
Ecuación
$\displaystyle\frac{u_j^{n+1}-u_j^n}{\Delta t}+a\displaystyle\frac{u_{j+1}^{n+1}-u_{j-1}^{n+1}}{2\Delta x}=0$ |
ID:(10352, 0)
Esquema Upwind
Ecuación
$\displaystyle\frac{u_j^{n+1}-u_j^n}{\Delta t}+a\theta(a)\displaystyle\frac{u_j^n-u_{j-1}^n}{\Delta x}+a\theta(-a)\displaystyle\frac{u_{j+1}^n-u_j^n}{\Delta x}=0$ |
ID:(10353, 0)
Esquema Lax-Wendroff
Ecuación
$\displaystyle\frac{u_j^{n+1}-u_j^n}{\Delta t}+a\displaystyle\frac{u_{j+1}^n-u_{j-1}^n}{2\Delta x}+\displaystyle\frac{a^2\Delta t}{2}\displaystyle\frac{2u_j^n-u_{j-1}^n-u_{j+1}^n}{\Delta x^2}=0$ |
ID:(10350, 0)
Esquema Lax-Friedrichs
Ecuación
$\displaystyle\frac{2u_j^{n+1}-u_{j+1}^n-u_{j-1}^n}{2\Delta t}+a\displaystyle\frac{u_{j+1}^n-u_{j-1}^n}{2\Delta x}=0$ |
ID:(10354, 0)
Esquema Beam-Warming (a>0)
Ecuación
$\displaystyle\frac{u_j^{n+1}-u_j^n}{\Delta t}+a\displaystyle\frac{3u_j^n-4u_{j-1}^n+u_{j-2}^n}{2\Delta x}-\displaystyle\frac{a^2\Delta t}{2}\displaystyle\frac{u_j^n-2u_{j-1}^n+u_{j-2}^n}{\Delta x^2}=0$ |
ID:(10355, 0)