R. Kakar, K. Kaur, K.C. Gupta, Study of Viscoelastic Model for Longitudinal Wave Propagation in a Non-Homogeneous Viscoelastic Filament, Journal of Modern Mathematics and Statistics, Volume 7,Issue 3, 2013, Pages 26-31, ISSN 1994-5388, jmmstat.2013.26.31, (https://makhillpublications.co/view-article.php?doi=jmmstat.2013.26.31) Abstract: This study is concerned to check the validity of a five parameter viscoelastic model for longitudinal wave propagating in the non-homogeneous viscoelastic rods. In this study, it is assumed that density (ρ), rigidity (G) and viscosity (η) of the specimen, i.e., rod are space dependent and obey the laws . The method of non-linear partial differential equation (Eikonal equation) has been used for finding the dispersion equation of longitudinal waves. Keywords: Longitudinal waves;variable density;viscoelastic media;Friedlander series;India