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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 198926, 11 pages
http://dx.doi.org/10.1155/2013/198926
Research Article

Fourier Operational Matrices of Differentiation and Transmission: Introduction and Applications

1Department of Applied Mathematics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran
2Center of Excellence on Modelling and Control Systems, Ferdowsi University of Mashhad, Mashhad, Iran
3Department of Mathematics, Universiti Putra Malaysia (UPM), 43400 Serdang, Selangor, Malaysia

Received 1 January 2013; Revised 4 March 2013; Accepted 4 March 2013

Academic Editor: Carlos Vazquez

Copyright © 2013 F. Toutounian 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 [7 citations]

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

  • F. Toutounian, and E. Tohidi, “A new Bernoulli matrix method for solving second order linear partial differential equations with the convergence analysis,” Applied Mathematics and Computation, vol. 223, pp. 298–310, 2013. View at Publisher · View at Google Scholar
  • Emran Tohidi, Atena Pasban, A. Kilicman, and S. Lotfi Noghabi, “An Efficient Pseudospectral Method for Solving a Class of Nonlinear Optimal Control Problems,” Abstract and Applied Analysis, vol. 2013, pp. 1–7, 2013. View at Publisher · View at Google Scholar
  • Emran Tohidi, F. Soleymani, and Adem Kilicman, “Robustness of Operational Matrices of Differentiation for Solving State-Spa ce Analysis and Optimal Control Problems,” Abstract and Applied Analysis, 2013. View at Publisher · View at Google Scholar
  • Emran Tohidi, and Adem Kılıçman, “A Collocation Method Based on the Bernoulli Operational Matrix for Solving Nonlinear BVPs Which Arise from the Problems in Calculus of Variation,” Mathematical Problems in Engineering, vol. 2013, pp. 1–9, 2013. View at Publisher · View at Google Scholar
  • E. Tohidi, Kh. Erfani, M. Gachpazan, and S. Shateyi, “A New Tau Method for Solving Nonlinear Lane-Emden Type Equations via Bernoulli Operational Matrix of Differentiation,” Journal of Applied Mathematics, vol. 2013, pp. 1–9, 2013. View at Publisher · View at Google Scholar
  • Emran Tohidi, and Hassan Saberi Nik, “A Bessel Collocation Method for Solving Fractional Optimal Control Problems,” Applied Mathematical Modelling, 2014. View at Publisher · View at Google Scholar
  • Emran Tohidi, M. M. Ezadkhah, and S. Shateyi, “Numerical Solution of Nonlinear Fractional Volterra Integro-Differential Equations via Bernoulli Polynomials,” Abstract and Applied Analysis, vol. 2014, pp. 1–7, 2014. View at Publisher · View at Google Scholar