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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 542839, 9 pages
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 [11 citations]
The following is the list of published articles that have cited the current article.
- W. M. Abd-Elhameed, E. H. Doha, and Y. H. Youssri, “New Spectral Second Kind Chebyshev Wavelets Algorithm for Solving Linear and Nonlinear Second-Order Differential Equations Involving Singular and Bratu Type Equations,” Abstract and Applied Analysis, 2013.
- 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.
- Fengying Zhou, and Xiaoyong Xu, “Numerical solution of the convection diffusion equations by the second kind Chebyshev wavelets,” Applied Mathematics and Computation, vol. 247, pp. 353–367, 2014.
- 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.
- 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.
- 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.
- 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.
- R. Rajaraman, and G. Hariharan, “An efficient wavelet based spectral method to singular boundary value problems,” Journal of Mathematical Chemistry, 2015.
- E.H. Doha, W.M. Abd-Elhameed, and Y.H. Youssri, “New ultraspherical wavelets collocation method for solving 2nth-order initial and boundary value problems,” Journal of the Egyptian Mathematical Society, 2015.
- Seyed Hossein Mahdavi, and Hashim Abdul Razak, “An Efficient Iterative Scheme Using Family of Chebyshev’s Operations,” Mathematical Problems in Engineering, vol. 2015, pp. 1–10, 2015.
- W. M. Abd-Elhameed, “Some Algorithms for Solving Third-Order Boundary Value Problems Using Novel Operational Matrices of Generalized Jacobi Polynomials,” Abstract and Applied Analysis, vol. 2015, pp. 1–10, 2015.