References
- Brunner H. Implicitly linear collocation methods for nonlinear Volterra equations. Appl. Numer. Math. 1992;9:235–247.
- Delves LM, Mohamed JL. Computational methods for integral equations. Cambridge: Cambridge University Press; 1985.
- Ganesh M, Joshi MC. Numerical solvability of Hammerstein integral equations of mixed type. IMA J. Numer. Anal. 1991;11:21–31.
- Madbouly NM, McGhee DF, Roach GF. Adomian’s method for Hammerstein integral equations arising from chemical reactor theory. Appl. Math. Comput. 2001;117:241–249.
- Sohrabi S. Study on convergence of hybrid functions method for solution of nonlinear integral equations. Appl. Anal. 2013;92:690–702.
- Ezquerro JA, Hernández MA. Fourth-order iterations for solving Hammerstein integral equations. Appl. Numer. Math. 2009;59:1149–1158.
- Ezquerro JA, González D, Hernández MA. A variant of the Newton--Kantorovich theorem for nonlinear integral equations of mixed Hammerstein type. Appl. Math. Comput. 2012;218:9536–9546.
- Ganesh M, Joshi MC. Discrete numerical solvability of Hammerstein integral equations of mixed type. J. Integral Equ. Appl. 1989;2:107–124.
- Hadizadeh M, Azizi R. A reliable computational approach for approximate solution of Hammerstein integral equations of mixed type. Int. J. Comput. Math. 2004;81:889–900.
- Li F, Li Y, Liang Z. Existence of solutions to nonlinear Hammerstein integral equations and applications. J. Math. Anal. Appl. 2006;323:209–227.
- Maleknejad K, Hashemizadeh E. Numerical solution of the dynamic model of a chemical reactor by Hybrid functions. Procedia Comput. Sci. 2011;3:908–912.
- Babolian E, Mordad M. A numerical method for solving systems of linear and nonlinear integral equations of the second kind by hat basis functions. Comput. Math. Appl. 2011;62:187–198.
- Golbabai A, Keramati B. Easy computational approach to solution of system of linear Fredholm integral equations. Chaos Soliton Fractals. 2008;38:568–574.
- Jafarian A, Measoomy S. Nia, Utilizing feed-back neural network approach for solving linear Fredholm integral equations system. Appl. Math. Model. 2013;37:5027–5038.
- Javidi M, Golbabai A. A numerical solution for solving system of Fredholm integral equations by using homotopy perturbation method. Appl. Math. Comput. 2007;189:1921–1928.
- Maleknejad K, Aghazadeh N, Rabbani M. Numerical solution of second kind Fredholm integral equations system by using a Taylor-series expansion method. Appl. Math. Comput. 2006;175:1229–1234.
- Rabbani M, Maleknejad K, Aghazadeh N. Numerical computational solution of the Volterra integral equations system of the second kind by using an expansion method. Appl. Math. Comput. 2007;187:1143–1146.
- Rashidinia J, Zarebnia M. Convergence of approximate solution of system of Fredholm integral equations. J. Math. Anal. Appl. 2007;333:1216–1227.
- Roodaki M, Almasieh H. Delta basis functions and their applications to systems of integral equations. Comput. Math. Appl. 2012;63:100–109.
- Şahin N, Yüzbaşi Ş, Gülsu M. A collocation approach for solving systems of linear Volterra integral equations with variable coefficients. Comput. Math. Appl. 2011;62:755–769.
- Sorkun HH, Yalçinbaş S. Approximate solutions of linear Volterra integral equation systems with variable coefficients. Appl. Math. Model. 2010;34:3451–3464.
- Tahmasbi A, Fard OS. Numerical solution of linear Volterra integral equations system of the second kind. Appl. Math. Comput. 2008;201:547–552.
- Yang Z, O’Regan D. Positive solvability of system of nonlinear Hammerstein integral equations. J. Math. Anal. Appl. 2005;311:600–614.
- Yang Z. Positive solution for a system of nonlinear Hammerstein integral equation. Appl. Math. Comput. 2012;218:11138–11150.
- Zarebnia M, Rashidinia J. Approximate solution of systems of Volterra integral equations with error analysis. Int. J. Comput. Math. 2010;87:3052–3062.
- Berenguer MI, Fernández Muñoz MV, Garralda-Guillem AI, et al. Numerical treatment of fixed point applied to the nonlinear Fredholm integral equation. Fixed Point Theory A. 2009;2009:8p. Article ID 735638.
- Berenguer MI, Gámez D, Garralda Guillem AI, et al. Analytical techniques for a numerical solution of the linear Volterra integral equation of the second kind. Abstr. Appl. Anal. 2009;2009:12p. Article ID 149367.
- Berenguer MI, Gámez D, Garralda Guillem AI, et al. Nonlinear Volterra integral equation of the second kind and biorthogonal systems. Abstr. Appl. Anal. 2010;2010:11p. Article ID 135216.
- Berenguer MI, Gámez D, Garralda AI, et al. Biorthogonal systems for solving Volterra integral equation system of the second kind. J. Comput. Appl. Math. 2011;235:1875–1883.
- Caliò F, Fernández Muñoz MV, Marcheti E. Direct and iterative methods for the numerical solution of mixed integral equations. Appl. Math. Comput. 2010;216:3739–3746.
- Caliò F, Garralda-Guillem AI, Marchetti E, et al. About some numerical approaches for mixed integral equations. Appl. Math. Comput. 2012;219:464–474.
- Caliò F, Garralda-Guillem AI, Marchetti E, et al. Numerical approaches for systems of Volterra-Fredholm integral equations. Appl. Math. Comput. 2013;225:811–821.
- Gámez D. Analysis of the error in a numerical method used to solve nonlinear mixed Fredholm--Volterra--Hammerstein integral equations. J. Funct. Space Appl. 2012;2012:12p. Article ID 242870.
- Jameson GJO. Topology and normed spaces. London: Chapman & Hall; 1974.
- Semadeni Z. Product Schauder bases and approximation with nodes in spaces of continuous functions. Bull. Acad. Polon. Sci. 1963;11:387–391.
- Gelbaum B, Gil de Lamadrid J. Bases on tensor products of Banach spaces. Pac. J. Math. 1961;11:1281–1286.