A Monotone Second-Order Numerical Method for Fredholm Integro-Differential Equation
Küçük Resim Yok
Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Basel Ag
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The purpose of this study is to present a monotone type numerical method for solving Fredholm integro-differential equations. To solve this problem numerically, we have established a finite difference scheme on a uniform mesh using the composite trapezoidal formula. Furthermore, it has been proven that this presented method is second-order convergent in the discrete maximum norm. To support the theoretical basis of this proposed approach, numerical results are presented.
Açıklama
Anahtar Kelimeler
Fredholm integro-differential equation, finite difference method, error estimate, uniform convergence
Kaynak
Mediterranean Journal of Mathematics
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
21
Sayı
7
