Application of the generalized finite difference method to solve the advection-diffusion equation

DOI10.1016/j.cam.2010.05.026zbMath1209.65088OpenAlexW2092681551MaRDI QIDQ629421

Luis Gavete Corvinos, Juan José Benito Muñoz, Francisco Ureña Prieto

Publication date: 9 March 2011

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2010.05.026

zbMATH Keywords

stabilityconvergencenumerical exampleerror boundsgeneralized finite differencesadvection-diffusion equationirregular gridsexplicit method

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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Cites Work

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• Influence of several factors in the generalized finite difference method
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• Solving parabolic and hyperbolic equations by the generalized finite difference method
• Application of the Generalized Finite Difference Method to improve the approximated solution of pdes
• The finite difference method at arbitrary irregular grids and its application in applied mechanics
• A posteriorierror estimator and indicator in generalized finite differences. Application to improve the approximated solution of elliptic PDEs

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