Solving third- and fourth-order partial differential equations using GFDM: application to solve problems of plates

DOI10.1080/00207160.2011.587871zbMath1242.65217OpenAlexW1992548029MaRDI QIDQ2887043

Juan José Benito, Eduardo Salete, Francisco Ureña, Luis Gavete

Publication date: 15 May 2012

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2011.587871

zbMATH Keywords

fourth-order partial differential equationmoving least squaresmeshless methodsgeneralized finite difference methodsecond-order partial differential equation systemthin and thick elastic plates

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Plates (74K20) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods applied to problems in solid mechanics (74S20) Finite difference methods for boundary value problems involving PDEs (65N06) Second-order elliptic systems (35J47)

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Cites Work

• Application of the generalized finite difference method to solve the advection-diffusion equation
• Influence of several factors in the generalized finite difference method
• An \(h\)-adaptive method in the generalized finite differences
• Improvements of generalized finite difference method and comparison with other meshless method
• Solving parabolic and hyperbolic equations by the generalized finite difference method
• 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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