Computation of the eigenvalues of a second-order boundary value problem with parameter dependent boundary conditions

AIMS Mathematics 2026 Open access

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Authors: Ayşe Kabataş, Süleyman Şengül
DOI: 10.3934/math.2026250
Cited by: 0
References: 34

Abstract

Our purpose in this paper was to determine the eigenvalues of the boundary value problem with separated and parameter dependent boundary conditions when the potential function is integrable and symmetric. We first provided the asymptotic estimates of the eigenvalues of the related problem. Second, we computed numerical results for the eigenvalues using the interpolating element free Galerkin method. Then, a few examples are presented to illustrate the power of the method and compare the asymptotical and numerical results for consistency and validity.

Fields of Study & Subjects

Spectral Theory in Mathematical Physics Advanced Numerical Methods in Computational Mathematics Singular Perturbation Asymptotics and Difference Schemes

Publication details

Journal / source
AIMS Mathematics
Volume
11
Issue
3
Pages
6030–6049
Publication date
1 January 2026
Language
EN