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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 542839, 9 pages
http://dx.doi.org/10.1155/2013/542839
Research Article

New Wavelets Collocation Method for Solving Second-Order Multipoint Boundary Value Problems Using Chebyshev Polynomials of Third and Fourth Kinds

1Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
2Department of Mathematics, Faculty of Science, Cairo University, Giza 12613, Egypt

Received 7 August 2013; Revised 13 September 2013; Accepted 13 September 2013

Academic Editor: Soheil Salahshour

Copyright © 2013 W. M. Abd-Elhameed 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 [6 citations]

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

  • W. M. Abd-Elhameed, and E. H. Doha, “New Spectral Second Kind Chebyshev Wavelets Algorithm for Solving Linear an d Nonlinear Second-Order Differential Equations Involving Singular and Brat u Type Equations,” Abstract and Applied Analysis, 2013. View at Publisher · View at Google Scholar
  • F. Costabile, and A. Napoli, “A method for high-order multipoint boundary value problems with Birkhoff-type conditions,” International Journal of Computer Mathematics, pp. 1–9, 2014. View at Publisher · View at Google Scholar
  • A. H. Bhrawy, M. A. Alghamdi, and Eman S. Alaidarous, “An Efficient Numerical Approach for Solving Nonlinear Coupled Hyperbolic Partial Differential Equations with Nonlocal Conditions,” Abstract and Applied Analysis, vol. 2014, pp. 1–14, 2014. View at Publisher · View at Google Scholar
  • Xiuling Yin, and Yanqin Liu, “Symplectic Schemes for Linear Stochastic Schrödinger Equations with Variable Coefficients,” Abstract and Applied Analysis, vol. 2014, pp. 1–7, 2014. View at Publisher · View at Google Scholar
  • W. M. Abd-Elhameed, and Y. H. Youssri, “New Ultraspherical Wavelets Spectral Solutions for Fractional Riccati Differential Equations,” Abstract and Applied Analysis, vol. 2014, pp. 1–8, 2014. View at Publisher · View at Google Scholar
  • A. H. Bhrawy, “A New Legendre Collocation Method for Solving a Two-Dimensional Fractional Diffusion Equation,” Abstract and Applied Analysis, vol. 2014, pp. 1–10, 2014. View at Publisher · View at Google Scholar