Table of Contents Author Guidelines Submit a Manuscript
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 503141, 6 pages
http://dx.doi.org/10.1155/2014/503141
Research Article

Application of Sumudu Decomposition Method to Solve Nonlinear System Volterra Integrodifferential Equations

1Mathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
2Department of Mathematics, Institute for Mathematical Research, Universiti Putra Malaysia, (UPM), 43400 Serdang, Selangor, Malaysia

Received 18 February 2014; Accepted 4 April 2014; Published 28 April 2014

Academic Editor: Mohamed Boussairi Jleli

Copyright © 2014 Hassan Eltayeb 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.

Linked References

  1. A.-M. Wazwaz, Linear and Nonlinear Integral Equations Methods and Applications, Springer, Higher Education Press, 2011.
  2. E. Alizadeh, M. Farhadi, K. Sedighi, H. R. Ebrahimi-Kebria, and A. Ghafourian, “Solution of the Falkner-Skan equation for wedge by Adomian Decomposition Method,” Communications in Nonlinear Science and Numerical Simulation, vol. 14, no. 3, pp. 724–733, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  3. A. M. Wazwaz, “The modified decomposition method and Pade approximants for a boundary layer equation in unbounded domain,” Applied Mathematics and Computation, vol. 177, no. 2, pp. 737–744, 2006. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  4. N. Bellomo and R. Monaco, “A Comparison between Adomian decomposition method and pertubation techniques for nonlinear random differential equations,” Journal of Mathematical Analysis and Applications, vol. 110, no. 2, pp. 495–502, 1985. View at Google Scholar
  5. R. Race, “On the Adomian decomposition method and comparison with Picard's method,” Journal of Mathematical Analysis and Applications, vol. 128, no. 2, pp. 480–483, 1987. View at Google Scholar
  6. G. Adomian and R. Race, “Noise terms in decomposition solution series,” Computers & Mathematics with Applications, vol. 24, no. 11, pp. 61–64, 1992. View at Google Scholar · View at Zentralblatt MATH
  7. A. M. Wazwaz, “Necessary conditions for the appearance of noise terms in decomposition solution series,” Applied Mathematics and Computation, vol. 81, no. 2-3, pp. 265–274, 1997. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  8. A. Kadem, Solving the One-Dimensional Neutron Transport Equation Using Chebyshev Polynomials and the Sumudu Transform, Analele Universitatii Din Oradea, Fascicola Matematica, 2005.
  9. H. Eltayeb, A. K. Kılıçman, and B. Fisher, “A new integral transform and associated distributions,” Integral Transforms and Special Functions, vol. 21, no. 5, pp. 367–379, 2010. View at Google Scholar
  10. A. Kiliçman and H. E. Gadain, “On the applications of Laplace and Sumudu transforms,” Journal of the Franklin Institute, vol. 347, no. 5, pp. 848–862, 2010. View at Publisher · View at Google Scholar
  11. A. Kiliçman, H. Eltayeb, and P. R. Agarwal, “On sumudu transform and system of differential equations,” Abstract and Applied Analysis, vol. 2010, Article ID 598702, 11 pages, 2010. View at Publisher · View at Google Scholar
  12. A. Kiliçman, H. Eltayeb, and K. A. M. Atan, “A note on the comparison between laplace and sumudu transforms,” Bulletin of the Iranian Mathematical Society, vol. 37, no. 1, pp. 131–141, 2011. View at Google Scholar · View at Scopus
  13. F. B. M. Belgacem, A. A. Karaballi, and S. L. Kalla, “Analytical investigations of the sumudu transform and applications to integral production equations,” Mathematical Problems in Engineering, vol. 2003, no. 3-4, pp. 103–118, 2003. View at Publisher · View at Google Scholar · View at Scopus