Bessel’s Differential Equation and the Aging Spring Problem
dc.contributor.advisor | Abdi Tadesse (PhD) | |
dc.contributor.author | Belayneh Tilahun | |
dc.date.accessioned | 2018-07-19T06:40:00Z | |
dc.date.accessioned | 2023-11-04T12:30:35Z | |
dc.date.available | 2018-07-19T06:40:00Z | |
dc.date.available | 2023-11-04T12:30:35Z | |
dc.date.issued | 2014-08 | |
dc.description.abstract | In this paper we study the aging spring equation without damping X= (t) + e−at+b x(t)=0 , or the most general one with damping (t) + dx= (t) + e−at x(t)=0 which is a special cases of homogeneous linear second order ODE with variable coefficients. We will show that, with a suitable change of variables, this equation of aging spring problem can be transformed into Bessel differential equation and hence the solution can be expressed in terms of Bessel functions | en_US |
dc.identifier.uri | http://etd.aau.edu.et/handle/123456789/9330 | |
dc.language.iso | en | en_US |
dc.publisher | Addis Ababa University | en_US |
dc.subject | Bessel’s Differential Equation | en_US |
dc.subject | And the Aging Spring Problem | en_US |
dc.title | Bessel’s Differential Equation and the Aging Spring Problem | en_US |
dc.type | Thesis | en_US |