id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
cana-6069	M. H. Ahmed, S. H. Aljahdali	Three-Dimensional Nonlinear Fredholm Integral Equation of The Second Kind Solved by Comparing Fibonacci Collocation Method and Hermite-Galerkin Method	2025	11	.pdf	application/pdf	4434	253	64	First substituting Eq.(5) into three-dimensional nonlinear Fredholm Integral Equations Eq.(1) and applying the Galerkin condition leads to the following equation: ∫ ∫ ∫ ∑ ∑ ∑ 𝑐𝑖𝑗𝑘𝐻𝑖(𝑥1)𝐻𝑗(𝑦1)𝐻𝑘(𝑧1)𝐻𝑞(𝑥1)𝐻𝑝(𝑦1)𝐻𝑣(𝑧1) 𝑑𝑥1𝑑𝑦1𝑑𝑧1 𝑁+1 𝑘=1 𝑁+1 𝑗=1 𝑁+1 𝑖=1 [7,8]: 𝑢(𝑥1, 𝑦1, 𝑧1) = 𝑔(𝑥1, 𝑦1, 𝑧1) + ∫ ∫ ∫ 1 100 1 0 1 0 1 0 𝑥1 2𝑠1(𝑡1 2 + 𝑦1)𝑟1𝑧1𝑢2(𝑠1, 𝑡1, 𝑟1)	cache/cana-6069.pdf	txt/cana-6069.txt