About this Journal Submit a Manuscript Table of Contents
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 823098, 12 pages
http://dx.doi.org/10.1155/2013/823098
Research Article

A Collocation Method Based on the Bernoulli Operational Matrix for Solving High-Order Linear Complex Differential Equations in a Rectangular Domain

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, University of Venda, Private Bag X5050, Thohoyandou 0950, South Africa

Received 19 November 2012; Accepted 14 February 2013

Academic Editor: Douglas Anderson

Copyright © 2013 Faezeh 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 [11 citations]

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

  • R. Behzadi, E. Tohidi, and F. Toutounian, “Numerical Solution of Weakly Singular Fredholm Integral Equations Via Generalization of the Euler-Maclaurin summation Formula,” Journal of Taibah University for Science, 2013. View at Publisher · View at Google Scholar
  • 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
  • F. Toutounian, Emran Tohidi, and A. Kilicman, “Fourier Operational Matrices of Differentiation and Transmission: Introduction and Applications,” Abstract and Applied Analysis, vol. 2013, pp. 1–11, 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
  • Diana A. Bistrian, “A solution of the parabolized Navier–Stokes stability model in discrete space by two-directional differential quadrature and application to swirl intense flows,” Computers & Mathematics with Applications, 2014. View at Publisher · View at Google Scholar
  • Emran Tohidi, and Faezeh Toutounian, “Convergence analysis of Bernoulli matrix approach for one-dimensional matrix hyperbolic equations of the first order,” Computers & Mathematics with Applications, 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
  • E. Tohidi, and A. Kılıçman, “An Efficient Spectral Approximation for Solving Several Types of Parabolic PDEs with Nonlocal Boundary Conditions,” Mathematical Problems in Engineering, vol. 2014, pp. 1–6, 2014. View at Publisher · View at Google Scholar