Research Article
A numerical method to solve a class of linear integro-differential equations with weakly singular kernel
Şuayip Yüzbaşı,
Mehmet Sezer,
Corresponding Author
Şuayip Yüzbaşı
Department of Mathematics, Faculty of Science, Muğla University, Muğla, Turkey
Şuayip Yüzbaşı, Department of Mathematics, Faculty of Science, Muğ University, Muğla, Turkey.
E-mail: [email protected]
Search for more papers by this authorMehmet Sezer
Department of Mathematics, Faculty of Science, Muğla University, Muğla, Turkey
Search for more papers by this authorŞuayip Yüzbaşı,
Mehmet Sezer,
Corresponding Author
Şuayip Yüzbaşı
Department of Mathematics, Faculty of Science, Muğla University, Muğla, Turkey
Şuayip Yüzbaşı, Department of Mathematics, Faculty of Science, Muğ University, Muğla, Turkey.
E-mail: [email protected]
Search for more papers by this authorMehmet Sezer
Department of Mathematics, Faculty of Science, Muğla University, Muğla, Turkey
Search for more papers by this authorAbstract
In this paper, a collocation method based on the Bessel polynomials is introduced for the approximate solution of a class of linear integro-differential equations with weakly singular kernel under the mixed conditions. The exact solution can be obtained if the exact solution is polynomial. In other cases, increasing number of nodes, a good approximation can be obtained with applicable errors. In addition, the method is presented with error and stability analysis. Copyright © 2012 John Wiley & Sons, Ltd.
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