method is often used, w1 The method 2 Example: 1D diffusion 3 Example: 1D diffusion with ad4 Example: 2D diffusion 5 Application in financial mathem6 See also 7 References 8 External links The method [edit] The Crank–Nicolson stencil for The Crank–Nicolson methodrule in time, giving ...
function x=shoot_method(A,f) %LU分解思路的追赶法求解三对角阵 %输入:Ax=f中A,f %输出:x len_f=length(f);%矩阵尺寸 a=[0;diag(A,-1)];b=diag(A,0);c=diag(A,1);%获取对角元素 l=zeros(1,len_f-1);uu=zeros(1,len_f); uu(1)=b(1); for ii=2:len_f%紧凑格式Doolittle分解 ...
A forward difference Euler method has been used to compute the uncertain heat equations' numerical solutions. Nevertheless, the Euler scheme is instability in some cases. This paper proposes an implicit task to overcome this disadvantage, namely the Crank–Nicolson method, which is unconditional ...
Crank–Nicolsonmethod Crank–Nicolson method From Wikipedia, the free encyclopedia
CrankNicolson method 1 Crank –Nicolson method In numerical analysis, the Crank –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 ...
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 + ...
求解一维热传导方程Crank-Nicolson差分法
method does not increase the calculation Numericaltests are identical with theoretical analysis; it explains that the format possesses the efficient convergence Keywordshyperbolic differential equation; Crank Nicolson block centered finite differences method; error estimation 引言双曲型方程在物理、工程领域里有...
CRANK-NICOLSON有限差分方法在温度模型中的算法及应用Thecaculation&applicatonofCrank-NicolsonfinitedifferencemethodintheTemperatureModel济钢中厚板厂岳临萍[摘要]本文主要介绍了在中厚板精轧机二级模型控制系统中温度模型的设计,对其使用的隐式差分方法-Crank-Nicolson方程的应用进行了详细的分析和解释,解读了模型的计算公式...
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