Ferdowsi University of MashhadIranian Journal of Numerical Analysis and Optimization2423-69777220171001Radial basis functions method for solving three-dimensional linear Fredholm integral equations on the cubic domainsروش ﺗﻮاﺑﻊ ﭘﺎﯾﻪ ﺷﻌﺎﻋﯽ ﺑﺮای ﺣﻞ ﻣﻌﺎدﻻت اﻧﺘﮕﺮال ﻓﺮدﻫﻠﻢ ﺧﻄﯽ ﺳﻪ ﺑﻌﺪی روی داﻣﻨﻪ ﻫﺎی ﻣﮑﻌﺒﯽ15382454910.22067/ijnao.v7i2.52085ENM.EsmaeilbeigiDepartment of Mathematics, Faculty of Mathematical Sciences and Statistics, Malayer University, Malayer, Iran.F.MirzaeeDepartment of Mathematics, Faculty of Mathematical Sciences and Statistics, Malayer University, Malayer, Iran.D.MoazamiDepartment of Mathematics, Faculty of Mathematical Sciences and Statistics, Malayer University, Malayer, Iran.Journal Article19700101The main purpose of this article is to describe a numerical scheme for solving three-dimensional linear Fredholm integral equations of the second kind on the cubic domains. The method is based on interpolation by radial basis functions (RBFs) based on Gauss-Legendre nodes and weights. Error analysis is presented for this method. Finally, several examples are given and numerical examples are presented to demonstrate the validity and applicability of the method.https://ijnao.um.ac.ir/article_24549_9bffd7ba440c0dd9c09c1905b05bf307.pdf