Use the Crank-Nicolson Method. We need to discretize the space and time domain. x_i = i h = i \Delta x, \quad t_n = nk = n \Delta t, \quad U^n_i \approx u(x_i,t_n) \frac{U^{n+1}_i - U^{n}_i}{k} = \frac{\kappa}{2h^2}(U^n_{i-1} - 2U^n_i + ...
Eulerian time-stepping schemeTime-dependent domainsHeat equationCrank–Nicolson schemeA priori error analysisWe consider a time-stepping scheme of Crank–Nicolson type for the heat equation on a moving domain in Eulerian coordinates. As the spatial domain varies between subsequent time steps, an ...
The Crank-Nicolson scheme for the 1D heat equation is given below by: fin+1−finΔt=fi+1n−2fin+fi−1n2(Δx)2+fi+1n+1−2fin+1+fi−1n+12(Δx)2 Lettingr=Δt(Δx)2, this equation can be rearranged to group the known and unknown terms separately: ...
–Nicolson method is a finite difference method used for numerically solving the heat equation and similar partial differential equations.[1] It is a second-order method in time, implicit in time, and is numerically stable. The method was developed by John Crank and Phyllis Nicolson in the mid...
在前面的基础上: 迦非喵:C++Tridiagonal matrix algorithm 简单测试迦非喵:国产CFD开源软件OneFLOW求解一维热传导方程简单测试(Crank–Nicolson scheme version2)这里继续重构: 有: CMakeList.txt cmake_mi…
求解一维热传导方程Crank-Nicolson差分法
There has been some work on higher schemes for barrier options using L stable schemes, but without optimal convergence, cf. 10, 20. We have developed, first of all, a new strategy for smoothing the Crank–Nicolson scheme at each time when the barrier is applied. This smoothing procedure ...
Sensitivity analysis of transient three‐dimensional heat conduction in a plate during process of welding is performed. Crank‐Nicolson method with multi‐... I Ivanovic,A Sedmak - American Institute of Physics 被引量: 21发表: 2010年 A High-Accuracy ADI Scheme for the Vector Parabolic Equation ...
修正局部Crank-Nicolson方法 1. The Modified Local Crank-Nicolson method is given by Abduwali first, andhe used this method to solve the heat equation very well. 修正局部Crank-Nicolson方法是由阿布都热西提首先提出的,并且用它已经很好地求解出了热传导方程的数值解。 更多例句>> 4...
A Crank-Nicolson numerical scheme for solving the one-dimensional mixed space-time diffusion equation modelling the flow of a second grade fluid is shown t... E Momoniat,C Harley - 《International Journal of Numerical Methods for Heat & Fluid Flow》 被引量: 15发表: 2012年 A novel implementa...