id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
iajs-541	Mansoor, Wafaa F.; Shraida, Shaymaa M.	Repeated Corrected Simpson's 3/8 Quadrature Method for Solving Fredholm Linear Integral Equations of the Second Kind	2017	9	.pdf	application/pdf	4091	192	81	i,n n j 1,4,7 3h 3hu f + 31k u 81 k u k u 62 k u 31k u 19k u 19J u 224 1120 27 k u J u k u J u 19k u 1 − − + + = = − + + + + =   λ λ    ′= + + + + + + +          ′ ′ ′+ − − − −  ∑ ∑ ∑ i,n n 2n 2 n 3 0 0 0,0 0 0, j j 0, j 1 j 1 0, j j 0,n n 0,0 0 0,0 0 j 1,4,7,... j 3,6,... 0, j 1 j 1 0, j 1 j 1 0, j j 0, j j j 1 9J u ,i 0,1,..., n 3h 3hu f 31H u 81 H u H u 62 H u 31H u 19H u 19L u 224 1120 27 H u L u H u L u − − + + = = + + + + =   =   λ λ ′ ′ ′= + + + + + + + +        ′ ′+ − −  ∑ ∑ n 2 0,n n 0,n n ,4,7,... 2n 2 n 3 p p p,0 0 p, j j p, j 1 j 1 k, j j p,n n p,0 0 p,0 0 j 1,4,7,... j 3,6,... p, j 1 j 1 p, j 1 j 1 p, j j 19H u 19L u 3h 3hu f 31H u 81 H u H u 62 H u 31H u 19H u 19L u 224 1120 27 H u L u H u L − − − + + = = + + + +  ′− −    λ λ  ′ ′ ′= + + + + + + + +       ′ ′+ − − ∑ ∑ ∑ [ n 2 p, j j p,n n p,n n j 1,4,7,... 2n 2 n 3 n n n,0 0 n, j j n, j 1 j 1 n, j j n,n n n0 0 n0 0 j 1,4,7,... j 3,6,... nj 1 j 1 u 19H u 19L u , where p j, j 1 3h 3hu f 31H u 81 H u H u 62 H u 31H u 19H u 19L u 224 1120 27 H u − = − − + + = = + +    ′− − = +     λ λ ′ ′ ′= + + + + + + + +      ′ + ∑ ∑ ∑ n 2 nj 1 j 1 nj j nj j nn n nn n j 1,4,7,...	cache/iajs-541.pdf	txt/iajs-541.txt
