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Mathematical Problems in Engineering
Volume 2013, Article ID 746489, 15 pages
Research Article

On the Comparison between Compact Finite Difference and Pseudospectral Approaches for Solving Similarity Boundary Layer Problems

1Department of Mathematics, University of Johannesburg, P.O. Box 17011, Doornfontein 2028, South Africa
2School of Mathematical Sciences, University of KwaZulu-Natal, Private Bag X01, Pietermaritzburg, Scottsville 3209, South Africa

Received 22 March 2013; Revised 15 July 2013; Accepted 26 July 2013

Academic Editor: Tirivanhu Chinyoka

Copyright © 2013 P. G. Dlamini 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.

  • O. Otegbeye, and S. S. Motsa, “A paired quasilinearization method for solving boundary layer flow problems,” vol. 1975, pp. 030020, . View at Publisher · View at Google Scholar
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  • Vusi M. Magagula, Sandile S. Motsa, Precious Sibanda, and Phumlani G. Dlamini, “On a bivariate spectral relaxation method for unsteady magneto-hydrodynamic flow in porous media,” Springerplus, vol. 5, 2016. View at Publisher · View at Google Scholar
  • Khumalo, and Dlamini, “A new compact finite difference quasilinearization method for nonlinear evolution partial differential equations,” Open Mathematics, vol. 15, no. 1, pp. 1450–1462, 2017. View at Publisher · View at Google Scholar
  • Rongpei Zhang, Zheng Wang, Jia Liu, and Luoman Liu, “A compact finite difference method for reaction–diffusion problems using compact integration factor methods in high spatial dimensions,” Advances in Difference Equations, vol. 2018, no. 1, 2018. View at Publisher · View at Google Scholar
  • Z. Soori, and A. Aminataei, “Effect of the nodes near boundary points on the stability analysis of sixth-order compact finite difference ADI scheme for the two-dimensional time fractional diffusion-wave equation,” Transactions of A. Razmadze Mathematical Institute, 2018. View at Publisher · View at Google Scholar