Approximation of the derivatives beyond Taylor expansion

DOI10.1016/J.CAMWA.2024.01.011WikidataQ129393243 ScholiaQ129393243MaRDI QIDQ6150030

Qiuyan Xu, Zhi-yong Liu

Publication date: 5 March 2024

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

numerical integrationunconditional stabilitynumerical approximationhigh-accuracy

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Numerical analysis (65-XX)

Cites Work

• High-order compact ADI methods for parabolic equations
• Compact finite difference schemes with spectral-like resolution
• On the use of higher-order finite-difference schemes on curvilinear and deforming meshes
• Second order compact difference scheme for time fractional sub-diffusion fourth-order neutral delay differential equations
• High order approximation of derivatives with applications to pricing of financial derivatives
• Compact difference schemes on a three-point stencil for second-order hyperbolic equations
• A high-order weighted compact high resolution scheme with boundary closures for compressible turbulent flows with shocks
• Stability analysis of inverse Lax-Wendroff boundary treatment of high order compact difference schemes for parabolic equations
• Effect of the nodes near boundary points on the stability analysis of sixth-order compact finite difference ADI scheme for the two-dimensional time fractional diffusion-wave equation
• High-order compact schemes for nonlinear dispersive waves
• Numerical Methods for Ordinary Differential Equations

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