A finite-difference method for a singularly perturbed delay integro-differential equation
Yükleniyor...
Dosyalar
Tarih
2016
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Science Bv
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We consider the singularly perturbed initial value problem for a linear first order Volterra integro-differential equation with delay. Our purpose is to construct and analyse a numerical method with uniform convergence in the perturbation parameter. The numerical solution of this problem is discretized using implicit difference rules for differential part and the composite numerical quadrature rules for integral part. On a layer adapted mesh error estimations for the approximate solution are established. Numerical examples supporting the theory are presented. (C) 2016 Elsevier B.V. All rights reserved.
Açıklama
KUDU, Mustafa/0000-0002-6610-0587
WOS: 000381546600025
WOS: 000381546600025
Anahtar Kelimeler
Delay difference scheme, Layer adapted mesh, Uniform convergence, Singular perturbation
Kaynak
Journal Of Computational And Applied Mathematics
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
308
