Global Journal of Computer Sciences: Theory and Research
The approximate solution of a class of Fredholm integral equations with a logarithmic kernel by using Chebyshev polynomials
Yazarlar: Asghar Arzhang, Hesamoddin Derili, Mehdi Yousefi
Cilt 3 , Sayı 2 , 2013 , Sayfalar -
Konular:-
Anahtar Kelimeler:Logarithmic kernel,Weakly Singular,Chebyshev polynomials,Alerkin method.
Özet: In this paper, we use a method to find numerical solution of a class of Fredholm integral equations with a logarithmic kernel by using Chebyshev polynomials. Based on the various properties of Chebyshev polynomials of four kinds we remove singularity and transform the singular integral equations to regular equations. These properties reduce the computational cost and run time of the method. Finally, we use Galerkin method to find the solution.
ATIFLAR
Atıf Yapan Eserler
KAYNAK GÖSTER
BibTex
KOPYALA
@article{2013, title={The approximate solution of a class of Fredholm integral equations with a logarithmic kernel by using Chebyshev polynomials}, volume={3}, number={0}, publisher={Global Journal of Computer Sciences: Theory and Research}, author={Asghar Arzhang, Hesamoddin Derili, Mehdi Yousefi}, year={2013} }
APA
KOPYALA
Asghar Arzhang, Hesamoddin Derili, Mehdi Yousefi. (2013). The approximate solution of a class of Fredholm integral equations with a logarithmic kernel by using Chebyshev polynomials (Vol. 3). Vol. 3. Global Journal of Computer Sciences: Theory and Research.
MLA
KOPYALA
Asghar Arzhang, Hesamoddin Derili, Mehdi Yousefi. The Approximate Solution of a Class of Fredholm Integral Equations with a Logarithmic Kernel by Using Chebyshev Polynomials. no. 0, Global Journal of Computer Sciences: Theory and Research, 2013.