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Solving third- and fourth-order partial differential equations using GFDM: application to solve problems of plates. (English) Zbl 1242.65217
Summary: This paper describes the generalized finite difference method (GFDM) to solve second-order partial differential equation systems and fourth-order partial differential equations. This method is applied to solve the problem of thin and thick elastic plates.

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