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Dr. Abdelhameed Mohamed Abdelhameed Nagy :: Publications: |
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| Title: | Numerical solution of fractional wave equation using Crank-Nicholson method |
| Authors: | N. H. Sweilam, A. M. Nagy |
| Year: | 2011 |
| Keywords: | Crank-Nicholson method; fractional wave equation; stability condition; stability matrix analysis • Greschgorin theorem |
| Journal: | World Applied Sciences Journal |
| Volume: | 13 |
| Issue: | Not Available |
| Pages: | 71-75 |
| Publisher: | Not Available |
| Local/International: | International |
| Paper Link: | |
| Full paper | Abdelhameed Mohamed Abdelhameed Nagy_Nagy_Crank.pdf |
| Supplementary materials | Not Available |
| Abstract: |
In this paper, Crank-Nicholson method for solving fractional wave equation is considered. The stability and consistency of the method are discussed by means of Greschgorin theorem and using the stability matrix analysis. Numerical solutions of some wave fractional partial differential equation models are presented. The results obtained are compared to exact solutions. |
