A linear scheme for simulating conduction heat transfer problems with nonlinear boundary conditions

DOI10.1016/S0307-904X(97)00040-1zbMath0882.65090OpenAlexW2003561655MaRDI QIDQ1367149

Rogério Martins Saldanha da Gama

Publication date: 19 February 1998

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0307-904x(97)00040-1

zbMATH Keywords

convergencefinite difference methodnumerical examplesnonlinear boundary conditionsconduction heat transferlinear iterative procedure

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06)

Cites Work

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• A new mathematical model for energy transfer problems with radiative boundary conditions
• Simulation of the steady-state energy transfer in rigid bodies, with convective/radiative boundary conditions, employing a minimum principle
• Temperature-dependent heat sources or sinks in a stagnation point flow

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