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Dr. Mohamed Ahmed Kamal Abd-El-Khalik Ahmed Soliman :: Publications: |
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| Title: | Fundamental solutions and Cayley-Hamilton formula |
| Authors: | M.A. Kamal; Youssef F. Rashed; J.T. Katsikadelis; C.S. Chen |
| Year: | 2024 |
| Keywords: | Cayley-Hamilton theorem; Fundamental solutions; Particular solutions |
| Journal: | Engineering Analysis with Boundary Elements |
| Volume: | 165 |
| Issue: | Not Available |
| Pages: | 1-5 |
| Publisher: | ELsevier |
| Local/International: | International |
| Paper Link: | |
| Full paper | Not Available |
| Supplementary materials | Not Available |
| Abstract: |
In this paper, a new technique to obtain a fundamental solution is developed. The well-known Cayley-Hamilton theorem in linear algebra is adopted to obtain the inverse of the differential operator (in its symbolic form) of the governing equation and hence the corresponding fundamental and particular solutions are obtained. Several examples are presented to demonstrate the use of the presented technique. |
