Non-Polynomial Collocation Spectral Scheme for Systems of Nonlinear Caputo-Hadamard Differential Equations
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Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Mdpi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we provide a collocation spectral scheme for systems of nonlinear Caputo-Hadamard differential equations. Since the Caputo-Hadamard operators contain logarithmic kernels, their solutions can not be well approximated using the usual spectral methods that are classical polynomial-based schemes. Hence, we construct a non-polynomial spectral collocation scheme, describe its effective implementation, and derive its convergence analysis in both L2 and L infinity. In addition, we provide numerical results to support our theoretical analysis.
Açıklama
Anahtar Kelimeler
orthogonal functions, spectral methods, error analysis, Caputo-Hadamard derivative
Kaynak
Fractal and Fractional
WoS Q Değeri
N/A
Scopus Q Değeri
Q1
Cilt
8
Sayı
5
