Green's function for the heat equation as a limit of product integrals. Ark. Mat. 16, 153–159 (1978). https://doi.org/10.1007/BF02385990 Download citation Received13 September 1977 Issue DateDecember 1978 DOIhttps://doi.org/10.1007/BF02385990 Keywords Compact Support Heat Equation Product ...
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...
Dirac’s delta belongs to a class of objects termed distribution, being a generalization of the concept of a function. Though it is not a rigorous terminology, Dirac’s delta is often referred to as a function. The simplest definition of\( \delta \)reads $$ \delta (x-{x}^{\prime})=...
The conditions for which Green's function of the Sturm-Liouville problem for an ordinary second-order linear differential equation is negative 来自 ResearchGate 喜欢 0 阅读量: 18 作者:GN Zhevlakov,SA Pak 摘要: A numerical algorithm is proposed for solution of the transient heat-conduction equation...
A theory for solving the bioheat equation is developed using a time-dependent Green's function and Fourier transform techniques. The description of both steady-state and time-dependent data are placed into a single framework which can also describe the effects of inhomogeneous blood perfusion. The...
Once the Green's function is known, it can be used to construct the solution to the differential equation for any given source term. How do you construct a Green's function for a given differential operator? Constructing a Green's function generally involves solving the differential eq...
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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We use essential cookies to make sure the site can function. We also use optional cookies for advertising, personalisation of content, usage analysis, and social media. By accepting optional cookies, you consent to the processing of your personal data - including transfers to third parties. Some...