A solution of the bio-heat transfer equation for a step function point source is presented and discussed. from this basic solution on ecan, in principle, obtain the temperature field resulting from a general heat source distribution by superposition. as an example, the method is used to ...
1、EM22 Numerical Analysis of PDE Project - Heat Equation Student Name : 李子硕 Student ID : 110141213 E-mail: lzsh July 1, 2015 1 ES22 Numerical Analysis of PDE Project - Heat Equation CONTENTS Abstract3 1Introduction of Problem3 2Analytical Solution3 3Numerical Solution5 3.1Implicit Form An...
FOR SOLUTION OF THE HEAT EQUATION WITH A NONLINEAR BOUNDARY CONDITION BEI HU AND HONG-MING YIN Abstract. This paper studies the blowup profile near the blowup time for the heat equation ut = Am with the nonlinear boundary condition un = up on ...
Solving the sideways heat equation by a wavelet - Galerkin method We consider a Cauchy problem for the heat equation in the quarter plane, where data are given at x = 1 and a solution is sought in the interval 0 < x < 1. ... T Reginska,L Eldén - 《Inverse Problems》 被引量: ...
In this study, an alternative method is presented for the solution of two-dimensional heat equation in a square region. In this method, the solution function of the problem is based on the Green function, and therefore on elliptic functions. The numerical results have been computed for an appl...
This paper studies the blowup profile near the blowup time for the heat equation ut = Δu with the nonlinear boundary condition un = upΩ [0, T]. Under cer... B Hu,HM Yin - 《Trans.amer.math.soc》 被引量: 418发表: 1994年 Solution of a nonlinear heat equation with arbitrarily gi...
, then the solution of Eq. (2.2) is exponentially stable in the pth moment. 4 3 Explicit Solutions of Hybrid Stochastic Heat Equa- tions Let us first discuss hybrid stochastic heat equation with external forces and Dirichlet boundary conditions ∂v(t,x) ∂t = Av(t, x) +α(r(t)...
boundary-value problem for a nonhomogeneous parabolic equation with orlicz right side. random oper. stoch. equ. 18 (2), 97–119 (2010) article mathscinet google scholar kudryavcev, l.d.: direct and inverse imbedding theorems. applications to the solution of elliptic equations...
Solution of the first Fourier problem for the generalized heat equation and its relation with Laplace equation 来自 dx.doi.org 喜欢 0 阅读量: 31 作者: J Lubowicz 摘要: NOTIFICATION OF HEPATITIS B. By - S. Kenwright, S. Mackenzie 关键词:...
Abstract An analytical solution given by Bessel series to the transient and one-dimensional (1D) bio heat equation in a multilayer region with spatial dependent heat sources is derived. Multilayer regions with 1D Cartesian, cylindrical or spherical geometries and composed of different types of biologic...