The construction of higher-order numerical approximation formula for Riesz derivative and its application to nonlinear fractional differential equations (I)

The main goal of this paper is to construct high-order numerical differential formulas approximating the Riesz derivative and apply them to the numerical solution of the nonlinear space fractional Ginzburg–Landau equations. Firstly, we introduce a novel second-order fractional central difference ope...

Celý popis

Uložené v:

Podrobná bibliografia
Vydané v:	Communications in nonlinear science & numerical simulation Ročník 110; s. 106394
Hlavní autori:	Ding, Hengfei, Yi, Qian
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Amsterdam Elsevier B.V 01.07.2022 Elsevier Science Ltd
Predmet:	Approximation Convergence Differential equations Energy methods Finite difference method Finite differences Fractional calculus Fractional-compact numerical algorithm Fractions Landau-Ginzburg equations Mathematical analysis Nonlinear space fractional Ginzburg–Landau equations Norms Operators (mathematics) Riesz derivative Stability Riesz derivative Fractional-compact numerical algorithm Stability Nonlinear space fractional Ginzburg–Landau equations Convergence
ISSN:	1007-5704, 1878-7274
On-line prístup:	Získať plný text
Tagy:	Pridať tag Žiadne tagy, Buďte prvý, kto otaguje tento záznam!

Buďte prvý, kto okomentuje tento záznam!