Quarterly of Applied Mathematics · 1960 · 27 citations · 3 references
Natural SciencesMathematicsPhysicsDifferential EquationsHeat TransferThermodynamicsHeat ConductionHeat FlowHeat Transfer AnalysisHeat Transfer In SolidsHeat Transfer ModelingPartial MeltingHeat Conduction EquationHeat EquationMeltingNumerical Integration FundamentalsTruncation
The numerical integration of heat conduction equations was extended to include the phenomenon of melting. The physical situation is defined, and the governing mathematical equations are stated. These differential equations are replaced by analogous difference equations, and the resulting truncation terms are noted. The results obtained with an EBM-704 program using these equations were satisfactory. (M.C.G.)
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Heat conduction in a melting solid
H. G. Landau · Quarterly of Applied Mathematics · 1950 · 655 citations · Full text