Abstract
The modeling of natural phenomena is based on ordinary and partial differential equations, which appear in all branches of science and engineering. For this reason, applied mathematicians and engineers have tried to develop new methods of solutions to these equations. One of the widely used numerical methods for the solution of ordinary and partial differential, integro-differential, and integral equations is the Polynomial Matrix Method (PMM). In this study, these methods are introduced first and then a brief history of the development of the method is given. Almost 30 polynomials used in this collocation approach are mentioned. Fundamental principle of the PMM is explained. Engineering applications such as in single and multi-degree of freedom systems, mechanical vibrations, heat equations, diffusion equation and others are reviewed.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
