A numerical method to solve a class of linear integro‐differential equations with weakly singular kernel |
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| Authors: | Şuayip Yüzbaşı Mehmet Sezer |
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| Institution: | Department of Mathematics, Faculty of Science, Mu?la University, , Mu?la, Turkey |
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| Abstract: | 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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| Keywords: | singular Volterra integro‐differential equations integro‐differential equations Abel's integral equations collocation method collocation points Bessel polynomials and series |
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