You are in:Home/Publications/Fundamental solutions and Cayley-Hamilton formula

Dr. Mohamed Ahmed Kamal Abd-El-Khalik Ahmed Soliman :: Publications:

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

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.

Google ScholarAcdemia.eduResearch GateLinkedinFacebookTwitterGoogle PlusYoutubeWordpressInstagramMendeleyZoteroEvernoteORCIDScopus