On symmetric potential in a boundary value problem dependent on an eigenparameter

BAŞKAYA E., ŞENGÜL S.

AIMS MATHEMATICS, cilt.10, sa.9, ss.21835-21852, 2025 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 9
  • Basım Tarihi: 2025
  • Doi Numarası: 10.3934/math.2025971
  • Dergi Adı: AIMS MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Directory of Open Access Journals
  • Sayfa Sayıları: ss.21835-21852
  • Recep Tayyip Erdoğan Üniversitesi Adresli: Evet

Özet

In this work, we asymptotically calculate the eigenvalue of a boundary value problem that involves an integrable and symmetric potential over a defined interval and includes eigenvalues in the boundary conditions. We apply the Riccati equation to derive the asymptotic solutions. To validate our findings, we compare them with numerical results obtained using the element-free Galerkin method. The comparison confirms the consistency and accuracy of the asymptotic approach.