Subscribe to our Newsletter and get informed about new publication regulary and special discounts for subscribers!

IFSL > IFSL Volume 7 > Algebraic Kernel Method for Solving Fredholm...
< Back to Volume

Algebraic Kernel Method for Solving Fredholm Integral Equations

Full Text PDF


In this paper, we study the exact solution of linear Fredholm integral equations using some classical methods including degenerate kernel method and Fredholm determinants method. We propose an analytical method for solving such integral equations. This work has some goals related to suggested technique for solving Fredholm integral equations. The primary goal gives analytical solutions of such equations with minimum steps. Another goal is to compare the suggested method used in this study with classical methods. The final goal is that the propose method is an explicit formula that can be studied in detail for non-algebraic function kernels by using Taylor series expansion and for system of Fredholm integral equations.


International Frontier Science Letters (Volume 7)
M. S. Hasso, "Algebraic Kernel Method for Solving Fredholm Integral Equations", International Frontier Science Letters, Vol. 7, pp. 25-33, 2016
Online since:
March 2016

[1] Abdul J. jerri, Introduction to Integral Equation with applications, Marcel Dekker, Inc , New York, 1985. ‏.

[2] Avazzadeh Z., Heydari M. and Loghmani G.B., A comparison between solving two dimentional integral equations by the traditional collection method and radial basis functions, Applied mathematical sciences, Vol. 5, No. 23, pp: 1145-1152, (2011).

[3] Bakodah H.O., A comparison study between a Chebyshev collection method and the Adomian decomposition method for solving linear system of Fredholm integral equations of the second kind, JKAU: Sci., Vol. 24 No. 1, pp: 49-59, (2012).


[4] Hameed H. Hameed, Hayder M. Abbas and Zahraa A. Mohammed, The Taylor series method for solving linear Fredholm integral equations of the second kind using MATLAB, Journal of Babylon University, Pure and applied Sciences, No. 1, Vol. 19, (2011).

[5] Krasnov M., Kiselev A., Problems and Exercises in Integral Equations, Mir publishers, Moscow, 1971. ‏.

[6] Rahman M., Integral Equation and their applications, Wit Press Southampton, Boston, (2007).

[7] Shidfar A. and Molabahrami A., Solving system of integral equations by an analytic method, mathematical and computer modeling journal, vol. 54, pp: 28-35, (2011).

[8] Tricomi F.G., Integral Equation, Inter science Publisher, INC. New york, (1957).

[9] Wazwaz Abdul-Majid, A comparison between the variational iteration method and Adomian decomposition method, Journal of computational and applied mathematics 207 , pp: 129-136, (2007).


[10] Wazwaz Abdul-Majid, Linear and Nonlinear Integral Equations Methods and Applications Higher Education press, Beijing and springer-verlag Berlin Heidelberg, (2011).

Show More Hide
Cited By:
This article has no citations.