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Journal of Applied Mathematics
Volume 2014 (2014), Article ID 682398, 12 pages
http://dx.doi.org/10.1155/2014/682398
Research Article

Laguerre Collocation Method for Solving Fredholm Integro-Differential Equations with Functional Arguments

1Department of Mathematics, Faculty of Science, Celal Bayar University, 45140 Manisa, Turkey
2Department of Mathematical Engineering, Faculty of Chemistry-Metallurgical, Yıldız Technical University, 34220 İstanbul, Turkey

Received 4 April 2014; Accepted 18 May 2014; Published 18 June 2014

Academic Editor: Turgut Öziş

Copyright © 2014 Burcu Gürbüz et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [5 citations]

The following is the list of published articles that have cited the current article.

  • Cem Oğuz, and Mehmet Sezer, “Chelyshkov collocation method for a class of mixed functional integro-differential equations,” Applied Mathematics and Computation, vol. 259, pp. 943–954, 2015. View at Publisher · View at Google Scholar
  • P.K. Sahu, and S. Saha Ray, “Legendre spectral collocation method for Fredholm integro-differential-difference equation with variable coefficients and mixed conditions,” Applied Mathematics and Computation, vol. 268, pp. 575–580, 2015. View at Publisher · View at Google Scholar
  • S. Yu. Reutskiy, “The backward substitution method for multipoint problems with linear Volterra-Fredholm integro-differential equations of the neutral type,” Journal of Computational and Applied Mathematics, 2015. View at Publisher · View at Google Scholar
  • Ömür Kıvanç Kürkçü, Ersin Aslan, and Mehmet Sezer, “A numerical approach with error estimation to solve general integro-differential–difference equations using Dickson polynomials,” Applied Mathematics and Computation, vol. 276, pp. 324–339, 2016. View at Publisher · View at Google Scholar
  • B. Gürbüz, and M. Sezer, “A New Computational Method Based on Laguerre Polynomials for Solving Certain Nonlinear Partial Integro Differential Equations,” Acta Physica Polonica A, vol. 132, no. 3, pp. 561–563, 2017. View at Publisher · View at Google Scholar