Laguerre polynomial approach for solving functional differential equations involving first order nonlinear delay terms
Küçük Resim Yok
Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maltepe Üniversitesi
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
Recently, there exists an increasing interest on models related to delay and nonlinear functional differential equations in many scientific areas such as biology, chemical, physics and engineering. Moreover, the numerical methods for these problems have been developed by many authors. In this study, we consider some high-order delay functional differential equations with variable coefficients and variable delays, which contain first order nonlinear delay terms; then we develop a compatible matrix-collocation method depends on Laguerre polynomials to find the numerical solutions of these type equations subject to the mixed conditions. Additionally, numerical examples and different error analysis techniques are achieved to illustrate the efficiency, usability of our method.
Açıklama
Anahtar Kelimeler
Collocation methods, Laguerre polynomials, Delay functional differential equations
Kaynak
International Conference of Mathematical Sciences (ICMS 2019)
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Gürbüz, B. ve Sezer, M. (2019). Laguerre polynomial approach for solving functional differential equations involving first order nonlinear delay terms. International Conference of Mathematical Sciences (ICMS 2019). s. 163.
