Abstract
The linear stability analysis is normally governed by equations that constitute an eigenvalue (characteristic value) problem. In this paper, for the first time, two semi analytical algorithms, (1) Differential Transform Method (DTM) and (2) Adomian Decomposition Method (ADM) are examined for solving a characteristic value problem occurring in linear stability analysis. In this paper, the characteristic value problem of Couette Taylor flow is selected because its simple geometry continues to be a paradigm for theoretical studies of hydrodynamic stability. The results show that DTM handles the solution conveniently and accurately. However, this paper limits the use of ADM for solving characteristic value problems. The results indicate that the present algorithm based on DTM could be used as a promising method for solving characteristic value problems.
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.
