Temperature distributions due to space- and time-dependent heat sources are obtained by the solution method presented. Applications of the fundamental solutions are addressed with emphasis on a particular problem of Magnetic Fluid Hyperthermia (MFH) consisting of a thin shell of magnetic nanoparticles ...
Radial SolutionA formula for the fundamental solutions to the heat equation with singular Bessel operator is obtained. Bibliography: 7 titles.doi:10.1007/s10958-012-1127-2L. N. Lyakhov1. Voronezh State University, 1, Universitetskaya pl., Voronezh, 394006, RussiaL. B. Raykhelgauz...
In the theory of partial differential equations, there is a fundamental distinction between those of elliptic, hyperbolic, and parabolic type. Each type of equation has different requirements as to the boundary or initial data, which must... AK Aziz,SH Leventhal - 《Numerical Solution of Partial...
A general solution of the generalized thermoelastic equations is obtained for arbitrary distribution of the body forces and heat sources in an infinite bod... J Wang,RS Dhaliwal - 《Journal of Thermal Stresses》 被引量: 54发表: 1993年 Boundary Integral Equation Formulation in Generalized Linear Th...
Curvature and the Fundamental Solution of the Heat Operator On the Heat Equation and the Index Theorem Holomorphic Lefschetz Fixed Point Formula Spectral ... VK Patodi,MF Atiyah,MS Narasimhan - Collected Papers of V K Patodi 被引量: 0发表: 1996年 Collected Papers of V K Patodi Curvature an...
heat-conduction equationdifference schemeextrapolationComputational procedures using a discrete analog of Green's function are introduced and substantiated by the example of a solution to a net linear steady-state equation of heat conduction.doi:10.1007/BF00862853L. L. Rotkop...
Fundamental solutionHeat polynomialAnisotropic mediumSteady state equationRegularizationThis study aims to extend, the recently developed, heat polynomial based modified methodof fundamental (MFS) solutions to a steady state anisotropic problem. We successfullyextend the method to two-dimensional space and ...
2.The elementary solution to Cauchy problem of heat equation is given by applying Fourier transformation.应用Fourier变换求出热传导方程的基本解,分析了基本解与正态分布密度函数的关系,从而借助密度函数解释热传导方程解的性质。 3.As the problem is linear,the solution may be reduced to the summation of...
Theelementary solutionto Cauchy problem of heat equation is given by applying Fourier transformation. 应用Fourier变换求出热传导方程的基本解,分析了基本解与正态分布密度函数的关系,从而借助密度函数解释热传导方程解的性质。 3. As the problem is linear,the solution may be reduced to the summation ofeleme...
The method of fundamental solutions is described for the solution of elliptic boundary value problems governed by Laplace's equation in the plane subject t... A Karageorghis,G Fairweather - 《Ima Journal of Numerical Analysis》 被引量: 103发表: 1989年 The method of fundamental solutions for th...