Theory and Modern Applications
Table 2 \(\beta\sim\operatorname{Beta\ distribution} ( 1.0,2.0 )\), \(\alpha=1\)
From: Random difference scheme for diffusion advection model
k | n | \(x_{k}\) | \(t_{n}\) | \(E(u(x,t)_{x_{k},t_{n}})\) | \(E \vert u_{k}^{n} \vert \) | \(\frac{ \vert E(u(x,t)_{x_{k},_{tn}})-E \vert u_{k}^{n} \vert \vert }{E(u(x,t)_{x_{k},_{tn}})}\) |
|---|---|---|---|---|---|---|
1 | 1 | 0.5 | 0.01 | 0.7735224945 | 0.7739513739 | 0.0005544498099 |
1 | 2 | 0.5 | 0.005 | 0.7735224945 | 0.7739421289 | 0.0005424979920 |