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Dr. Doaa Ahmed Abd El-wahab Hammad :: Publications: |
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| Title: | Chebyshev–Chebyshev spectral collocation method for solving the generalized regularized long wave (GRLW) equation |
| Authors: | D.A. Hammad; M.S. El-Azab |
| Year: | 2016 |
| Keywords: | Chebyshev–Chebyshev spectral collocation method; Kronecker product; Hadamard product; Generalized regularized long wave equation; Chebyshev–Gauss–Lobatto points; Solitary waves. |
| Journal: | Applied Mathematics and Computation |
| Volume: | 285 |
| Issue: | Not Available |
| Pages: | 228–240 |
| Publisher: | Elsevier |
| Local/International: | International |
| Paper Link: | |
| Full paper | Not Available |
| Supplementary materials | Not Available |
| Abstract: |
In this research, a Chebyshev–Chebyshev spectral collocation method based on Kronecker and Hadamard products is proposed for solving the generalized regularized long wave (GRLW) equation. Chebyshev–Gauss–Lobatto collocation points are used in both time and space directions. Three invariants of motion: mass, momentum and energy are evaluated to determine the conservation properties of the GRLW equation. The single solitary wave and the interaction of two and three solitary waves are presented to validate the efficiency and the accuracy of the proposed scheme. |
