Convergence of the Swartztrauber-Sweet Method for Parabolic Problems on a Disk with Singularities

DOI10.1080/01630563.2013.811599zbMath1287.65070OpenAlexW1968067268MaRDI QIDQ5409742

Qing Fang, Xiao-Yu Zhang

Publication date: 14 April 2014

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2013.811599

zbMATH Keywords

convergencefinite difference methodnumerical experimentssingularityparabolic equationlocal grid refinementimplicit methodbackward Euler methodinitial and boundary value problemSwartztrauber-Sweet scheme

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (1)

Convergence Analysis of the Shortley-Weller Method on Refinement Grids for Elliptic Equations with Singularities

Cites Work

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• Superconvergence of the Shortley-Weller approximation for Dirichlet problems
• Convergence of consistent and inconsistent finite difference schemes and an acceleration technique
• Superconvergence of solution derivatives of the Shortley-Weller difference approximation to Poisson's equation with singularities on polygonal domains
• Nodal Superconvergence and Solution Enhancement for a Class of Finite-Element and Finite-Difference Methods
• Nonuniform FDM for Poisson-Type Equations on a Disk with Singular Solutions
• The numerical solution of second-order boundary value problems on nonuniform meshes
• Superconvergence of Solution Derivatives for the Shortley–Weller Difference Approximation of Poisson's Equation. II. Singularity Problems
• Error Analysis of Adaptive Finite Difference Methods Using Stretching Functions for Polar Coordinate Form of Poisson-Type Equation
• Convergence of swartztrauber-sweets approximation for the poisson-type equation on a disk
• Superconvergence of Solution Derivatives of the Shortley–Weller Difference Approximation to Elliptic Equations with Singularities Involving the Mixed Type of Boundary Conditions
• Matrix Iterative Analysis

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