Numerical Heat Transfer Part B Fundamentals · 2004 · 10 citations · 6 references
EngineeringComputational EngineeringMechanical EngineeringComputational Heat TransferComputational MechanicsHeat TransferFinite Difference MethodsFourier Series MethodsHeat Transfer AnalysisHeat Transfer ModelingNumerical AlgorithmsNumerical Methods For Differential EquationsAnalytical ModelsAnalytical Solutions Of Heat ConductionExpansionFinite Difference SchemesFinite Difference Solution Of Partial Differential EquationsFourier Number
A new finite analytic method based on power series expansion is proposed in this article. It has a simpler form compared with other methods based on analytical techniques. It is applied to an unsteady heat conduction problem, and its solution is compared with those of other methods. The comparison shows that the new method's solutions are more accurate than those obtained from the explicit, Crank-Nicolson, and fully implicit methods for a wide range of mesh Fourier number f . It gives the most accurate solutions of all finite-difference methods for f > 6.0.
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Numerical Heat Transfer and Fluid Flow
Chia‐Jung Hsu · Nuclear Science and Engineering · 1981 · 15.2K citations
Engineering, Mechanical Engineering, Nuclear Engineering +17
Handbook of Numerical Heat Transfer.
P.B. Whalley · Chemical Engineering Science · 1989 · 243 citations
Engineering, Computational Engineering, Mechanical Engineering +12