Efficient method for solution of nonlinear heat conduction problems

DOI10.1002/nme.1620141004zbMath0408.65070OpenAlexW2093768687MaRDI QIDQ4195890

Seppo Orivuori

Publication date: 1979

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.1620141004

zbMATH Keywords

Heat ConductionNonlinear ProblemsGalerkin MethodInitial and Boundary ConditionsFlow ChartSolution AlgorithmCrank-Nicolson MethodComputer ImplementationRecurrence SchemeSeveral Examples

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Initial value problems for second-order parabolic equations (35K15) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (6)

Experiences in solutions of non‐linear transport equations with the Green element method ⋮ The dual reciprocity boundary element formulation for nonlinear diffusion problems ⋮ Green element calculations of nonlinear heat conduction with a time-dependent fundamental solution ⋮ Boundary element analysis of nonlinear transient heat conduction problems ⋮ Green's function-based integral approaches to nonlinear transient boundary-value problems. II ⋮ Application of the Laplace transform to nonlinear transient problems

This page was built for publication: Efficient method for solution of nonlinear heat conduction problems