A robust uniform B-spline collocation method for solving the generalized PHI-four equation

Authors

W. K. Zahra, Tanta University
W. A. Ouf, Al Mansoura University
M. S. El-Azab, Al Mansoura University

Abstract

In this paper, we develop a numerical solution based on cubic B-spline collocation method. By applying Von-Neumann stability analysis, the proposed technique is shown to be unconditionally stable. The accuracy of the presented method is demonstrated by a test problem. The numerical results are found to be in good agreement with the exact solution.

Recommended Citation

Zahra, W. K.; Ouf, W. A.; and El-Azab, M. S. (2016). A robust uniform B-spline collocation method for solving the generalized PHI-four equation, Applications and Applied Mathematics: An International Journal (AAM), Vol. 11, Iss. 1, Article 24.
Available at: https://digitalcommons.pvamu.edu/aam/vol11/iss1/24