function of the Neumann problem for the hyperbolic heat equation.;Below, we also include the study of a problem based on the heat conduction between two bodies that initially are at different temperatures and suddenly are placed together in contact, again from the viewpoint of hyperbolic model. ...
Introduction to Green's FunctionsHeat Flux and TemperatureDifferential Energy EquationBoundary and Initial ConditionsIntegral Energy EquationDirac Delta FunctionSteady Heat Conduction in One DimensionGF in the Infinite One-Dimensional BodyTemperature in an Infinite One-Dimensional BodyTwo Interpretations of Green...
Green's function representations of the solution of the heat conduction equation for general boundary conditions are generalized for the nonlinear, i.e., t... YC Gerstenmaier,GKM Wachutka - 《IEEE Transactions on Components & Packaging Technologies》 被引量: 31发表: 2005年 To What Students Attr...
gral equation, boundary element methods (Mura, 1982; Lin and Keer, 1989; Hwu and Yen, 1991; Qin and Mai, 1997, in press). For plane anisotro- pic material without thermal eect, Hwu and Yen (1991) obtained a simple Green's function for an elliptic hole in an in®nite anisotro...
point heat source interacting with a homogeneous imperfect interface. Our approach is a straightforward extension of that of Sommerfeld who addressed the half-space Green’s function for a steady point heat source at the beginning of the last century. Both weakly and highly conducting type imperfect...
Recently, Green's function approach is used to approximate (initial) boundary value problems for nonlinear dynamical systems. Here, we use this approach for derivation of a simple criterion for approximate controllability of nonlinear dynamical systems. Simple and easy-to-check criteria on system param...
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We present three time discretization schemes for the Green element solution of the linear conduction equation. Numerical results obtained from the three methods are assessed by their convergence and stability-related properties, namely, numerical amplitude and amplification factor through Fourier analysis. ...
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