id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-6969	Ahmed, M.; Aljabri, A. M. 	A Comparative Study of Bernoulli Collocation and Hermite-Galerkin Methods for Solving Two-Dimensional Nonlinear Volterra Integral Equations of the Second Kind	2025	16	.pdf	application/pdf	5110	349	62	= ( 1 2p , 1 2p ) Bernoulli collo- cation method N = 6 Hermite- Galerkin method N = 6 Method of [8] with N = 30 Method of [28] with N = M = 64 p = 1 1.61× 10−7 3.70× 10−5 6.0× 10−5 3.45× 10−7 p = 2 7.54× 10−8 5.56× 10−5 1.29× 10−4 1.28× 10−10 p = 3 1.33× 10−8 8.06× 10−5 7.0× 10−5 2.22× 10−11 p = 4 1.77× 10−8 1.0× 10−4 5.33× 10−5 1.67× 10−13 p = 5 4.69× 10−9 3.54× 10−5 5.959× 10−5 3.23× 10−13 p = 6 2.93× 10−10 4.33× 10−5 7.4588× 10−4 9.42× 10−15 Table 1: Numerical results for Example 1. N BC method HG method 2 1.5726× 10−2 1.0118× 10−2 4 7.7782× 10−5 5.3089× 10−5 6 1.6191× 10−7 3.7095× 10−5 7 6.0440× 10−11 6.9195× 10−5 Table 2: Effect of N on the absolute error for (χ, t) Description of the methods In this section, we solve Eq.(1) using Bernoulli collocation method and Hermite Galerkin method.	cache/ejpam-6969.pdf	txt/ejpam-6969.txt