The construction of higher-order numerical approximation formula for Riesz derivative and its application to nonlinear fractional differential equations (I)
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Publication:2137204
DOI10.1016/j.cnsns.2022.106394OpenAlexW4221093750WikidataQ113877802 ScholiaQ113877802MaRDI QIDQ2137204
Publication date: 16 May 2022
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2022.106394
stabilityconvergenceRiesz derivativefractional-compact numerical algorithmnonlinear space fractional Ginzburg-Landau equations
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Partial differential equations of mathematical physics and other areas of application (35Qxx) Miscellaneous topics in partial differential equations (35Rxx)
Related Items (4)
Preconditioned fourth-order exponential integrator for two-dimensional nonlinear fractional Ginzburg-Landau equation ⋮ High-order exponential integrators for the Riesz space-fractional telegraph equation ⋮ The construction of an optimal fourth-order fractional-compact-type numerical differential formula of the Riesz derivative and its application ⋮ Numerical analysis of a fourth-order linearized difference method for nonlinear time-space fractional Ginzburg-Landau equation
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