Malaysian Journal of Mathematical Sciences, September 2022, Vol. 16, No. 3
A Survey of the Earth Dams by Sturm-Liouville Equations - The Singular Case
Neamaty, A. and Khalili, Y.
Corresponding Email: y.khalili@sanru.ac.ir
Received date: 6 June 2020
Accepted date: 15 August 2022
Abstract:
In this work, we investigate the vibrations of embankments by the singular Sturm-Liouville equations.
At first, we create the mathematical form of the vibrations by the shear beam (SB) model
(see [21]) and transform this given form to the Sturm-Liouville form with a singularity. Finally,
we discuss the numerical solution to the considered problem using the variational iteration
method.
Keywords: Sturm-Liouville equation; singularity; embankment
