Uniform difference method for parameterized singularly perturbed delay differential equations
[ X ]
Tarih
2009
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
This paper deals with the singularly perturbed initial value problem for quasilinear first-order delay differential equation depending on a parameter. A numerical method is constructed for this problem which involves an appropriate piecewise-uniform meshes on each time subinterval. The difference scheme is shown to converge to the continuous solution uniformly with respect to the perturbation parameter. Some numerical experiments illustrate in practice the result of convergence proved theoretically.
Açıklama
Anahtar Kelimeler
Delay differential equation, Parameterized problem, Singular perturbation, Piecewise-uniform mesh, Error estimates
Kaynak
Numerical Algorithms
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
52
Sayı
4
