Numerical Methods for Caputo–Hadamard Fractional Differential Equations with Graded and Non-Uniform Meshes

Numerical Methods for Caputo–Hadamard Fractional Differential Equations with Graded and Non-Uniform Meshes

We consider the predictor-corrector numerical methods for solving Caputo–Hadamard fractional differential equations with the graded meshes logtj=loga+logtNajNr,j=0,1,2,…,N with a≥1 and r≥1, where loga=logt0

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Veröffentlicht in:Mathematics (Basel) 2021-11, Vol.9 (21), p.2728
Hauptverfasser: Green, Charles Wing Ho, Liu, Yanzhi, Yan, Yubin
Format: Artikel
Sprache:eng
Schlagworte:
Caputo–Hadamard fractional derivative
Differential equations
error estimates
Estimates
graded meshes
Mathematical analysis
Methods
Numerical analysis
Numerical methods
Numerical prediction
Partial differential equations
predictor-corrector method
Predictor-corrector methods
Smoothness
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Zusammenfassung:We consider the predictor-corrector numerical methods for solving Caputo–Hadamard fractional differential equations with the graded meshes logtj=loga+logtNajNr,j=0,1,2,…,N with a≥1 and r≥1, where loga=logt0
ISSN:2227-7390
2227-7390
DOI:10.3390/math9212728