Legendre series solutions of Fredholm integral equations

Mathematical and Computational Applications

Volumn 15, Issue 3, 2010, Pages 371-381

  Yalçinbas, Salih ^a   Aynigül, Müge ^a   Akkaya, Tuǧçe ^a  

^a CELAL BAYAR UNIVERSITY   (Turkey)

Author keywords

Fredholm integral equations; Legendre series

Indexed keywords

LINEAR SYSTEMS; MATRIX ALGEBRA; MOLECULAR PHYSICS;

ALGEBRAIC EQUATIONS; FREDHOLM INTEGRAL EQUATIONS; LEGENDRE COEFFICIENT; LEGENDRE POLYNOMIALS; LEGENDRE SERIES; MATRIX EQUATIONS; MATRIX METHODS; SECOND KINDS;

INTEGRAL EQUATIONS;

EID: 78149278473     PISSN: 1300686X     EISSN: None     Source Type: Journal    
DOI: 10.3390/mca15030371     Document Type: Article

References (8)

1. L. Fox, I. Parker, Chebyshev polynomials in Numerical Analysis, Clarendon Press, Oxford, 1968.
2. M. Sezer, S. Dogan, Chebyshev series solutions of Fredholm integral equations, Int. J. Math. Educ. Sci. Technol., 27, 5, 649-657, 1996.
3. R. P. Kanwal, and K. C. Liu, A Taylor expansion approach for solving integral equations, Int. J. Math. Educ. Sci. Technol., 20, 411-414, 1989.
4. E. Babolian, H.R. Marzban, M. Salmani, Using triangular orthogonal functions for solving Fredholm integral equations of the second kind, App. Math. and Comput., 201, 452-464, 2008.
5. R. Farnoosh, M. Ebrahimi, Monte Carlo method for solving Fredholm integral equations of the second kind, App. Math. and Comput., 195, 309-315, 2008.
6. S. Yalçinbas, M. Sezer, H.H. Sorkun, Legendre polynomial solutions of high-order linear Fredholm integro-differential equations, App. Math. and Comput., 210, 2, 334-349, 2009.
7. N. K. Basu, SIAM J. Numer. Anal., 10, 496-505, 1973.
8. K. Maleknejad, M. Karami, Using the WPG method for solving integral equations of the second kind, App. Math. and Comput., 166, 123-130, 2005.