In this paper, two classical inverse spectral problems are investigated, namely, the inverse
second-order Sturm-Liouville problem and the inverse fourth-order Sturm-Liouville problem …

A collocation method based on Bernoulli polynomial is developed to compute the
eigenvalues and eigenfunctions of some known fourth-order Sturm-Liouville problems …

In this paper, we propose a new modified Numerov's method for recovering from
eigenvalues a symmetric potential of a Sturm–Liouville operator with Dirichlet boundary …

The biharmonic operator plays a central role in a wide array of physical models, such as
elasticity theory and the streamfunction formulation of the Navier–Stokes equations. Its …

In this paper Lie group method in combination with Magnus expansion is utilized to develop
a universal method applicable to solving a Sturm–Liouville problem (SLP) of any order with …

In this paper an efficient method based on Legendre-Galerkin method for computing the
eigenvalues of fourth-order Sturm-Liouville problem subject to a kind of fixed boundary …

In this paper, we discuss the dependence of eigenvalues of fourth-order Sturm-Liouville (SL)
problems on the fundamental canonical forms of separated, coupled and mixed self-adjoint …

We consider the family $\hat h_\mu:=\hat\varDelta\hat\varDelta-\mu\hat v, $$\mu\in\mathbb
{R}, $ of discrete Schr\" odinger-type operators in $ d $-dimensional lattice $\mathbb {Z}^ d …

A discrete fourth-order elliptic theory on a one-dimensional interval is constructed. It is based
on 'Hermitian derivatives' and compact higher-order finite difference operators, and is shown …

In this paper, an efficient algorithm for recovering a density of a fourth-order Sturm–Liouville
operator from two given spectra is investigated. Based on Lidskii's theorem and Mercer's …