An efficient numerical method for a singularly perturbed Fredholm integro-differential equation with integral boundary condition
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Dosyalar
Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Heidelberg
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, a linear singularly perturbed Fredholm integro-differential initial value problem with integral condition is being considered. On a Shishkin-type mesh, a fitted finite difference approach is applied using a composite trapezoidal rule in both; in the integral part of equation and in the initial condition. The proposed technique acquires a uniform second-order convergence in respect to perturbation parameter. Further provided the numerical results to support the theoretical estimates.
Açıklama
Anahtar Kelimeler
Finite Difference Scheme; Fredholm Integro-Differential Equation; Integral Boundary Condition; Shishkin Mesh; Singular Perturbation; Uniform Convergence
Kaynak
Journal of Applied Mathematics and Computing
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
69
Sayı
1
