حل عددی دستگاه معادلات انتگرال فردهلم- همرشتاین با استفاده از توابع کلاهی توسعه یافته

1. Wazwaz A. M., "Linear and nonlinear integral equations: methods and applications", Springer Science & Business Media; (2011 Nov 24).## 2. Babolian E. S., Biazar J., Vahidi A. R., "The decomposition method applied to systems of Fredholm integral equations of the second kind. Applied Mathematics and Computation", (2004 Jan 26)148 (2) 443-452. ## 3. Biazar J., Ebrahimi H., "Legendre wavelets for systems of Fredholm integral equations of the second kind", World Applied Sciences Journal (2010) 9 (9) 1008-1012. ## 4. Sahu P. K., Saha Ray S., "A new numerical approach for the solution of nonlinear Fredholm integral equations system of second kind by using Bernstein collocation method", Mathematical Methods in the Applied Sciences (2015 Jan 30) 38 (2) 274-280. ## 5. Maleknejad K., Kajani M. T., "Solving second kind integral equations by Galerkin methods with hybrid Legendre and Block-Pulse functions", Applied Mathematics and Computation, (2003 Dec 25) 145 (2) 623-629. ## 6. Maleknejad K., Hashemizadeh E., Basirat B., "Numerical Solvability of Hammerstein Integral Equations Based on Hybrid Legendre and Block-Pulse Functions", InPDPTA (2010) 172-175. ## 7. Maleknejad K., Mohsenyzadeh M., Hashemizadeh E., "Hybrid orthonormal Bernstein and Block-Pulse functions for solving Fredholm integral equations", InProceedings of the World Congress on Engineering (2013 Jul 3) (Vol. 1). ## 8. Razzaghi M., Ordokhani Y., Haddadi N., "Direct method for variational problems by using hybrid of block-pulse and Bernoulli polynomials", Rom. J. Math. Comput. Sci., 2 (2012)1-7. ## 9. Hashemizadeh E., Rostami M., "Numerical solution of Hammerstein integral equations of mixed type using the Sinc-collocation method", Journal of Computational and Applied Mathematics, 279 (2015 May 1) 31-39. ## 10. Asgari M., Hashemizadeh E., Khodabin M., Maleknejad K., "Numerical solution of nonlinear stochastic integral equation by stochastic operational matrix based on Bernstein polynomials", Bull. Math. Soc. Sci. Math. Roumanie, 57 (1) (2014 Jan 1) 3-12. ## 11. Babolian E., Mordad M., "A numerical method for solving systems of linear and nonlinear integral equations of the second kind by hat basis functions", Computers & Mathematics with Applications, 62 (1) (2011 Jul 31) 187-198. ## 12. Almasieh H., Roodaki M., "Triangular functions method for the solution of Fredholm integral equations system", Ain Shams Engineering Journal, 3 (4) (2012 Dec 31) 411-416. ## 13. Maleknejad K., Shahrezaee M., Khatami H., "Numerical solution of integral equations system of the second kind by block-pulse functions", Applied Mathematics and Computation, 166 (1) (2005 Jul 6) 15-24. ## 14. Sahu P. K., Ray S. S., "Hybrid Legendre Block-Pulse functions for the numerical solutions of system of nonlinear Fredholm-Hammerstein integral equations", Applied Mathematics and Computation, 270 (2015 Nov 1) 871-878. ## 15. Zedan H. A., Alaidarous E., "Haar wavelet method for the system of integral equations", InAbstract and Applied Analysis (Vol. 2014) Hindawi Publishing Corporation (2014 Jul 21). ## 16. Maleknejad K., Basirat B., Hashemizadeh E., "A Bernstein operational matrix approach for solving a system of high order linear Volterra-Fredholm integro-differential equations", Mathematical and Computer Modelling, 55 (3) (2012 Feb 29) 1363-1372. ## 17. Roodaki M., Almasieh H., "Delta basis functions and their applications to systems of integral equations", Computers & Mathematics with Applications, 63 (1) (2012 Jan 31) 100-109. ## 18. Hesameddini E., Shahbazi M., "Solving system of Volterra–Fredholm integral equations with Bernstein polynomials and hybrid Bernstein Block-Pulse functions", Journal of Computational and Applied Mathematics, 315 (2017 May 1) 182-194. ## 19. Hasan T. I., Sulaiman N. A., Salleh S., "Aitken method on iterative kernel method for solving system of Volterra-Fredholm integral equations of the second kind", ZANCO Journal of Pure and Applied Sciences, 28 (6) (2017 Apr 14) 79-88. ## 20. Nazari J., Nili Ahmadabadi M., Almasieh H., "The method of radial basis functions for the solution of nonlinear Fredholm integral equations system. Qqq", Journal of Linear and Topological Algebra (JLTA) 6 (1) (2017 Mar 1) 11-28. ## 21. Rahimkhani P., Ordokhani Y., Babolian E., "A new operational matrix based on Bernoulli wavelets for solving fractional delay differential equations", Numerical Algorithms, 74 (1) (2017 Jan 1) 223-245. ## 22. Rahimkhani P., Ordokhani Y., Babolian E., "Fractional-order Bernoulli wavelets and their applications", Applied Mathematical Modelling, 40 (17-18) (2016 Sep 1) 8087-8107. ## 23. Rahimkhani P., Ordokhani Y., Babolian E., "Fractional-order Bernoulli functions and their applications in solving fractional Fredholem-Volterra integro-differential equations", Applied Numerical Mathematics, 122 (2017 Dec 1) 66-81## 24. Mirzaee F., Hadadiyan E., "Numerical solution of Volterra–Fredholm integral equations via modification of hat functions", Applied Mathematics and Computation, 280 (2016 Apr 20) 110-123. ## 25. Gasca M., Sauer T., "On the history of multivariate polynomial interpolation", InNumerical Analysis: Historical Developments in the 20th Century (2001) 135-147. ##