id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
cet-14439		cet-14439		6	.pdf	application/pdf	3564	136	57	[𝑤 − 𝑢(1, 𝜏)] (3) with boundary and initial conditions given by: 𝜕𝑢 𝜕𝑥 = 𝛽 ∙ (𝑤 − 𝑢) at 𝑥 = 1 𝜏 > 0 (4) 𝜕𝑢 𝜕𝑥 = 0 at 𝑥 = 0 𝜏 > 0 (5) 𝑢 = 0 at 𝜏 = 0 0 ≤ 𝑥 ≤ 1 (6) 𝑖 = 𝑢𝑖 ′ = 0 𝑖 = 0 or 𝑥 = 0 (13) ( 𝜕𝑢 𝜕𝑥 )| 𝑖 = 𝑢𝑖 ′ = 𝛽 ∙ (𝑤 − 𝑢𝑖) 𝑖 = 𝑁 or 𝑥 = 1 (14)	cache/cet-14439.pdf	txt/cet-14439.txt