Computation of Eigenfunctions of Nonlinear Boundary-Value -Transmission Problems by Developing Some Approximate Techniques
Yükleniyor...
Dosyalar
Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
SOC PARANAENSE MATEMATICA
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this study, we investigate a boundary value problem for nonlinear Sturm-Liouville equations with additional transmission conditions at one interior singular point. Known numerical methods are intended for solving initial and boundary value problems without transmission conditions. By modifying the Adomian decomposition method and the differential transform method, we present a new numerical algorithm to com-pute the eigenvalues and eigenfunctions of the considered boundary-value-transmission problem. Some graphic illustrations of the approximate eigenfunctions are also presented.
Açıklama
Anahtar Kelimeler
Nonlinear Sturm-Liouville equations, Transmission conditions, Approximate eigenfunction, Numerical methods
Kaynak
Boletim da Sociedade Paranaense de Matemática
WoS Q Değeri
N/A
Scopus Q Değeri
Q2
Cilt
Sayı
Künye
Yücel, M., Mukhtarov, O. S., & Aydemir, K. (2023). Computation of eigenfunctions of nonlinear boundary-value-transmission problems by developing some approximate techniques. Boletim da Sociedade Paranaense de Matemática, 41, 1-12.
