A second-order numerical approximation of a singularly perturbed nonlinear Fredholm integro-differential equation
Küçük Resim Yok
Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We consider a singularly perturbed problem for a nonlinear first-order Fredholm integrodifferential equation. Our aim is to build and analyze a numerical approach with uniform convergence in the epsilon-parameter. The numerical solution of problem is discretized utilizing interpolation quadrature formulas for the differential part and the composite rectangular rule for the integral part. Error estimations for the approximate solution are established. In support of the idea, numerical examples are provided.(c) 2023 IMACS. Published by Elsevier B.V. All rights reserved.
Açıklama
Anahtar Kelimeler
Uniform convergence, Finite difference methods, Integro-differential equation, Richardson extrapolation, Singular perturbation
Kaynak
Applied Numerical Mathematics
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
191
