Table of Contents Author Guidelines Submit a Manuscript
Abstract and Applied Analysis
Volume 2015, Article ID 153010, 7 pages
http://dx.doi.org/10.1155/2015/153010
Research Article

Windowed Fourier Frames to Approximate Two-Point Boundary Value Problems

Department of Mathematics, College of Science, Al Imam Mohammad Ibn Saud Islamic University, Riyadh, Saudi Arabia

Received 8 September 2014; Revised 6 January 2015; Accepted 6 January 2015

Academic Editor: Maria A. Ragusa

Copyright © 2015 Abdullah Aljouiee and Samir Kumar Bhowmik. 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.

Linked References

  1. A. Ashyralyev and O. Yildirim, “On stability of a third order of accuracy difference scheme for hyperbolic nonlocal BVP with self-adjoint operator,” Abstract and Applied Analysis, vol. 2013, Article ID 959216, 15 pages, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  2. S. K. Bhowmik, “Tchebychev polynomial approximations for mth order boundary value problems,” International Journal of Pure and Applied Mathematics, vol. 98, no. 1, pp. 45–63, 2015. View at Google Scholar
  3. S. K. Bhowmik, F. M. Al Faqih, and N. Islam, “A note on some numerical approaches to solve a θ˙ neuron networks model,” Abstract and Applied Analysis, vol. 2014, Article ID 863842, 7 pages, 2014. View at Publisher · View at Google Scholar
  4. S. Kumar, S. Dhawan, and S. Kapoor, “Numerical method for advection diffusion equation using fem and b-splines,” Journal of Computational Science, vol. 3, no. 5, pp. 429–437, 2012. View at Publisher · View at Google Scholar
  5. S. Mallat, A Wavelet Tour of Signal Processing, Academic Press, Amsterdam, The Netherlands, 3rd edition, 2009. View at MathSciNet
  6. C. C. Stolk, “A fast method for linear waves based on geometrical optics,” SIAM Journal on Numerical Analysis, vol. 47, no. 2, pp. 1168–1194, 2009. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  7. S. K. Bhowmik and C. C. Stolk, “Preconditioners based on windowed Fourier frames applied to elliptic partial differential equations,” Journal of Pseudo-Differential Operators and Applications, vol. 2, no. 3, pp. 317–342, 2011. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  8. K. Gröchenig, Foundations of Time-Frequency Analysis, Birkhäuser, Boston, Mass, USA, 2000. View at Publisher · View at Google Scholar · View at MathSciNet
  9. O. Christensen, An Introduction to Frames and Riesz Bases, Birkhauser, 2004.