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