Convergence analysis of fitted numerical method for a singularly perturbed nonlinear Volterra integro-differential equation with delay
Yükleniyor...
Dosyalar
Tarih
2019
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Science Bv
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, the initial value problem for a quasilinear singularly perturbed delay Volterra integro-differential equation was considered. By the method of integral identities with the use of exponential basis functions and interpolating quadrature rules with the weight and remainder term in integral form, a fitted difference scheme is constructed and analysed. It is shown that the method displays first order uniform convergence in perturbation parameter. Some numerical results are given to confirm the theoretical analysis. (C) 2019 Elsevier B.V. All rights reserved.
Açıklama
Yapman, Omer/0000-0003-3117-2932
WOS: 000463302400022
WOS: 000463302400022
Anahtar Kelimeler
Finite difference method, Volterra delay-integro-differential equation, Singular perturbation, Uniform convergence
Kaynak
Journal Of Computational And Applied Mathematics
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
355
