Computation of Eigenfunctions of Nonlinear Boundary-Value -Transmission Problems by Developing Some Approximate Techniques

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Küçük Resim

Tarih

2023

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

SOC PARANAENSE MATEMATICA

Erişim Hakkı

info:eu-repo/semantics/openAccess

Ɩzet

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.

AƧıklama

Anahtar Kelimeler

Nonlinear Sturm-Liouville equations, Transmission conditions, Approximate eigenfunction, Numerical methods

Kaynak

Boletim da Sociedade Paranaense de MatemƔtica

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 MatemÔtica, 41, 1-12.