A Second-Order Post-processing Technique for Singularly Perturbed Volterra Integro-differential Equations
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Dosyalar
Tarih
2021
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Basel Ag
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, a singularly perturbed Volterra integro- differential equation is being surveyed. On a piecewise-uniform Shishkin mesh, a fitted mesh finite difference approach is applied using a composite trapezoidal rule in the case of integral component and a finite difference operator for the derivative component. The proposed technique acquires a uniform convergence in accordance with the perturbation parameter. To improve the accuracy of the computed solution, an extrapolation, specifically Richardson extrapolation, is used measured in the discrete maximum norm and almost second-order convergence is attained. Further numerical results are provided to assist the theoretical estimates.
Açıklama
Anahtar Kelimeler
Integro-differential equation, composite trapezoidal rule, post-processing technique, uniform convergence, Numerical-Solution, Difference Method
Kaynak
Mediterranean Journal Of Mathematics
WoS Q DeÄŸeri
Q2
Scopus Q DeÄŸeri
Q2
Cilt
18
Sayı
6
