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A Galerkin approximation solution for heat transfer in thin bars. (English) Zbl 0679.73054
The Sturm-Liouville equation with Newton boundary conditions is considered. In order to approximate classical solutions via Galerkin projection technique, a polynomial basis of trial functions is proposed and tested. Finite element techniques are also mentioned.
Reviewer: D.Janovska
74A15 Thermodynamics in solid mechanics
74S30 Other numerical methods in solid mechanics (MSC2010)
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
74S05 Finite element methods applied to problems in solid mechanics
65L10 Numerical solution of boundary value problems involving ordinary differential equations
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs