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Kamal, M.A.; Rashed, Youssef F.; Katsikadelis, J.T.; Chen, C.S.
Engineering analysis with boundary elements, August 2024, 2024-08-00, Volume: 165Journal Article
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.
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