A new application of the reproducing kernel method for solving linear systems of fractional order Volterra integro-differential equations
Küçük Resim Yok
Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
IOP publishing Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this article, a new implementation of the reproducing kernel method is presented for solving systems of fractional-order Volterra integro-differential equations. Unlike previous implementations, this method does not rely on the Gram-Schmidt process. The reproducing kernel method utilizes various components, including space, inner product, bases, and points. Furthermore, the system of fractional-order Volterra integro-differential equations involves Caputo's fractional derivative and Volterra integral. However, when using the reproducing kernel method to solve these systems, challenges such as longer execution time and lower accuracy may arise compared to other methods. The present method has overcome these challenges with features such as easy implementation, high accuracy, and lower execution time.
Açıklama
Anahtar Kelimeler
Reproducing Kernel Method, Fractional-Order Volterra Integro-Differential Equations, Convergence Analysis, Error Analysis
Kaynak
Physica scripta
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
99
Sayı
7
Künye
Amoozad, T., Abbasbandy, S., Sahihi, H., & Allahviranloo, T. (2024). A new application of the reproducing kernel method for solving linear systems of fractional order Volterra integro-differential equations. Physica Scripta, 99(7), 075209.
