Diffusing equations 扩散方程初边值问题:设a>0,在区 域D={(x,t)0<x<1,0≤t≤们}找(x,t满足 au a2, 0<<1.0<t<T (x,0)=0(x),0<x<1初值条件 (0,+)=(1,t)=0,0≤t≤T边值条件 这里边值条件也可以有多种提法 NA diffe,tex-微分方程数值解-陈文斌-174/2003-7:49-p.4/46Diffusing equations * Ñ §Ð > Š ¯ Kµa > 0 § 3 «  D ∞ = { (x, t )|0 < x < 1, 0 ≤ t ≤ T } é u (x, t ) ÷ v    ∂u ∂t = a ∂ 2 u ∂x 2 , 0 < x < 1, 0 < t ≤ T u (x, 0) = φ ( x ), 0 < x < 1 Ð Š ^ ‡ u(0, t) = u(1, t) = 0, 0 ≤ t ≤ T > Š ^ ‡ ù p > Š ^ ‡  Œ ± k õ « J { " NA˙diffc2.tex – ‡© § ê Š ) –  © R – 17/4/2003 – 7:49 – p.4/46