Solving of the heat transfer equation (by explicit method) for 1d, 2d and 3d cases. 1d and 2d works well for all kind of conditions (1, 2 3). 3d doesn't work and i havn't time and will to fix it. Also, make a file where code of 1d heat transfer from Matlab endured on java...
Atiyah, M.F., Singer, I.M.: The index of elliptic operators on compact manifolds. Bull. Amer. Math. Soc.69, 422–433 (1963). Google Scholar Atiyah, M.F., Bott, R.: A Lefschetz fixed point formula for elliptic complexes, I. Ann. of Math.86, 374–407 (1967). Google Scholar ...
K. Patodi, On the heat equation and the index theorem, Invent. Math. 19 (1973), 279-330.M. F. Atiyah, R. Bott and V. K. Patodi, On the heat equation and the index theorem, Invent. Math., 19 (1973), 279-330.M. Atiyah, R. Bott and V. K. Patodi, On the heat equation...
where fD is the friction factor; and c’ the surface roughness index and depends on the ∊/Dh. Applicable for one-dimensional fracture flow; depends on the location of the extracted two-dimensional profile; accuracy of ∈ parameter limited by the distance between discrete point cloud data ...
Alternating-Direction-Implicit-ADI-for-2d-Heat-EquationEv**惑人 上传536.49 KB 文件格式 zip "交替方向隐式 (ADI) 方法是用于求解二维热传导方程的一种有效数值方法。该方法将二维问题分解为两个一维问题,在每个方向上交替进行隐式求解,从而降低计算复杂度。在每个方向上,通过引入交错的时间步长来避免显式耦合,...
A similar analysis could be developed for heat equations with bounded small perturbations on the coefficients entering in the second-order operator, i.e., for equations of the form (6.23){−(1+ε(x,t))φt−div((1+σ(x,t))∇φ)=0inQ,φ=0onΣ,φ(x,T)=φ0(x)inΩ, and ...
aThe Heat Index ( C) is given by a multiple regression equation of T and RH on the apparent temperature. A web-based Heat Index calculator can be found here. 温度指标 ( C) 由T和RH的一个多元回归等式在明显的温度给。 一个基于互联网的温度指标计算器可以这里被发现。 [translate] ...
The sonar equation is used in underwater signal processing to relate received signal power to transmitted signal power for one-way or two-way sound propagation. The equation computes the received signal-to-noise ratio (SNR) from the transmitted signal level, taking into account transmission loss,...
Partial Differential Equation Toolbox™ provides functions for solving structural mechanics, heat transfer, and general partial differential equations (PDEs) using finite element analysis. You can perform linear static analysis to compute deformation, stress, and strain. For modeling structural dynamics an...
The sonar equation is used in underwater signal processing to relate received signal power to transmitted signal power for one-way or two-way sound propagation. The equation computes the received signal-to-noise ratio (SNR) from the transmitted signal level, taking into account transmission loss,...