Theory and Modern Applications
Table 3 \(\beta\sim\operatorname{Binomial} ( 1.0,0.5 )\), \(\alpha=1\)
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 | 0.005 | 0.7768138752 | 0.7770609473 | 0.0003180582993 |
1 | 2 | 0.5 | 0.0025 | 0.7768138752 | 0.7770535156 | 0.0003084914001 |