[1] P. Kythe and P. Puri, Computational methods for linear integral
equations: Springer Science & Business Media, 2011.
[2] K. E. Atkinson, "The numerical solution of integral equation of the
second kind," ed: Cambridge University Press, Cambridge, 1996.
[3] R. P. Kanwal, Linear integral equations: Springer Science &
Business Media, 2013.
[4] Xavier Claeys, Ralf Hiptmair , Elke Spindler. "Second-kind
boundary integral equations for electromagnetic scattering at
composite objects." Computers and Mathematics with Applications
74 (December 2017): 2650–2670.
[5] Gomez, Luis J., and Abdulkadir C. Yücel. "The ICVSIE: A
General Purpose Integral Equation Method for Bio-
Electromagnetic Analysis." IEEE Transactions on Biomedical
Engineering . IEEE, 2018. 565 - 574.
[6] Kechen Wang, Mengmeng Li, Dazhi Ding, Rushan Chen. "A
parallelizable direct solution of integral equation methods for
electromagnetic analysis." Engineering Analysis with Boundary
Elements 85 (December 2017): 158–164.
[7] E. S. Shoukralla ―Numerical Solution of Helmholtz Equation for an
Open — Boundary in space‖, J. Applied. Mathematical. Modelling,
Elsevier, New York, Vol. 21, 231-232, April 1997.
[8] E. S. Shoukralla, ―Approximate solution to weakly singular
integral equations‖, Journal of appl. Mathematical. Modelling,. 20
(1996) 800-803.
[9] E. S. Shoukralla and M. A. Markos,―The economized monic
Chebyshev polynomials for solving weakly singular Fredholm
integral equations of the first kind‖ Asian-European Journal of
Mathematics, vol. 12, no. 1, 2020.
[10] E. S. Shoukralla, M. Kamel, and M. A. Markos, ―A new
computational method for solving weakly singular Fredholm
integral equations of the first kind‖ Published in the 13th IEEE
International Conference on Computer Engineering and Systems
(ICCES 2018). Cairo, Egypt on December, (IEEE Xplore) 2018.
[11] E. S. Shoukralla and M. A. Markos, ―Numerical Solution of a
Certain Class of Singular Fredholm Integral Equations of the First
Kind via the Vandermonde Matrix‖, International Journal of
Mathematical Models and Methods in Applied Science‖, Vol. 14,
2020, 48-53.
[12] E. S. Shoukralla, and B. M. Ahmed. "Multi-techniques method for
Solving Volterra Integral Equations of the Second Kind." 2019
14th International Conference on Computer Engineering and
Systems (ICCES). IEEE, 2019.
[13] E. S. Shoukralla, H. Elgohary and B. M. Ahmed, ―Barycentric
Lagrange interpolation for solving Volterra integral equations of
the second kind‖ Published in the 4th International Conference on
Advanced Technology and Applied Sciences (ICaTAS2019),
Journal of Physics, England, Conference Series,
1447(2020),012002.
[14] E. S. Shoukralla and B. M. Ahmed, ―Numerical Solutions of
Volterra Integral Equations of the Second Kind using Lagrange
interpolation via the Vandermonde matrix‖ 4th International
Conference on Advanced Technology and Applied Sciences
(ICaTAS’2019), Journal of Physics, England, Conference Series,
1447(2020), 012003.
8 3
[15] Y.Liu. "Application of the Chebyshev polynomial in solving Fredholm integral equations." Mathematical and Computer Modelling 50, no. 3-4 (August 2009): 465-469.
[16] M. M. Doria, R. C. V. COELHO ―Chebyshev, Legendre, Hermit and other orthogonal polynomials in D dimensions‖, Reports on Mathematical Physics, Vol. 81, 2018.
[17] Zaheer-ud-Din, Siraj-ul-Islam. "Meshless methods for one-dimensional oscillatory Fredholm integral equations." Applied Mathematics and Computation 324 (May 2018): 156-173.
[18] D. Barrera, F. Elmokhtari, D. Sbibih. "Two methods based on bivariate spline quasi-interpolants for solving Fredholm integral." Applied Numerical Mathematics 127 (May 2018): 78-94.
[19] Guangqing Long ; Lifeng Xuan ; Jianjun Chen. "Extrapolation of Discrete Multi-projection Methods for Fredholm Integral Equations of the Second Kind." Computational Intelligence and Security. Hong Kong, China: IEEE, 2018.
[20] Ahmet Alttrk, Serpil ahin "An Application of the Weighted Mean Value Method to Fredholm integral equations withToeplitz plus Hankel kernels." Journal of Interpolation and Approximation in Scientific Computing, no. 2 (June 2017): 9-17.
[21] Jalil Talab Abdullah, and Ali Hussein Shuaa Al-Taie, ―A comparison of Numerical Solutions for Linear Fredholm Integral Equation of the Second Kind‖ First International Scientific Conference Al-Ayen University, IOP Conf. Series: Journal of Physics: Conf. Series 1279 (2019)012067.
[22] Srikumar Panda, S.C.Martha,A.Chakrabarti ―Amodified approachto numerical solution of Fredholm integral equations of the second kind‖, Applied Mathematics and Computation 271 (2015) 102–112
[23] Mutaz Mohammad,‖ A Numerical Solution of Fredholm Integral Equations of the Second Kind Based on Tight Framelets Generated by the Oblique Extension Principle, symmetry MDPI , 2019, 11, 854.
[24] K.Maleknejad, Y. Mahmoudi ―Numerical solution of linear Fredholm integral equation by using hybrid Taylor and Block-Pulse functions‖,Applied Mathematics and Computation. 149 (2004) 799–806.
[25] K. Maleknejad, K. Nouri, M. Yousefi. "Discussion on convergence of Legendre polynomial for numerical solution of integral equations." Applied Mathematics and Computation (Elsevier) 193, no. 2 (November 2007): 335-339.
[26] C. Allouch, A. Boujraf, M. Tahrichi. "Discrete superconvergent degenerate kernel method forFredholmintegral equations." Mathematics and Computers in Simulation (Elsevier) 164 (October 2019): 24-32.
[27] Z. Cvetkovski, Inequalities: Theorems, Techniques, and Selected Problems: Springer Science & Business Media, 2012.
[28] Fabio Silva Botelho, ―Real Analysis and Applications‖, Springer International Publishing AG, part of Springer Nature 2018.