“…However, some new numerical methods have been proposed for solving one-and twodimensional FIEs, but modification of the existing methods and development of new techniques should yet be explored to obtain accurate solutions successfully. In recent years, some computational schemes have been used to compute the solutions approximately such as Gaussian radial basis functions (Alipanah and Esmaeili 2011;Islam et al 2015), Chebyshev collocation (Avazzadeh and Heydari 2012), rationalized Haar functions (Babolian et al 2011a), Block-pulse functions (Babolian et al 2011b), Gauss quadratures (Bazm and Babolian 2012), Legendre collocation and Tau (Chokri 2013;Tari and Shahmorad 2008), Galerkin (Han and Wang 2002), extrapolation (Han and Jiong 2001), Taylor Tau (Rahimi et al 2010), LS-Algorithm (Karimi and Jozi 2015), and reproducing kernel method (Beyrami et al 2016). Moreover, one can refer to other methods that were applied to solve one-and two-dimensional FIEs, such as Hanson and Phillips (1978), Liang and Lin (2010), and Xie and Lin (2009).…”