In this paper, the homotopy analysis method (HAM) is applied to numerically approximate
the eigenvalues of the second and fourth-order Sturm–Liouville problems. These …

A mathematical model describing the process of heat transfer in tissues during high
temperature thermal therapy by electromagnetic radiation of organs in human body for …

In response to the challenges posed by complex boundary conditions and singularities in
molecular systems and quantum chemistry, accurately determining energy levels …

In this paper, an auxiliary parameter is introduced into the well-known variational iteration
algorithm. Three examples are given to elucidate the solution procedure and how to choose …

In the paper, we transform the general Sturm–Liouville problem (SLP) into two canonical
forms: one with the homogeneous Dirichlet boundary conditions and another with the …

In this manuscript the homotopy perturbation method, the new iterative method, and the
variational iterative method have been successively used to obtain approximate analytical …

Purpose–The purpose of this paper is to apply He's variational iteration method (VIM)
coupled with an auxiliary parameter, which proves very effective to control the convergence …

In this paper, we discuss and compare two useful schemes for Sturm–Liouville eigenvalue
problems: differential quadrature method (DQM) and collocation method with sinc functions …

In this paper, we are concerned with approach solutions for Sturm–Liouville problems (SLP)
using variational problem (VP) formulation of regular SLP. The minimization problem (MP) is …

In this paper, we apply He's variational iteration method (VIM) coupled with an auxiliary
parameter which proves very effective to control the convergence region of an approximate …