用拍摄方法求解Blasius方程
版本1.0.0(1.99 kb)
穆罕默德·阿尔卡德拉(Mohammad Alkhadra)
该代码求解边界层流过平板的边界层流动的Blasius方程(三阶普通微分方程)。
我们希望求解的方程是f''' +(1/2)*f*f'',f(0)= 0,f'(0)= 0,f'(inf)= 1。在流体边界层理论中,必须以数值求解。我们将此问题重新提出为一阶ODES系统:Y = [F;F';f''] = [y(1);y(2);y(3)]这样,dy/deta = y'= [f';F'';f'''] = [y(2);y(3); -(1/2)*y(1)*y(3)] with y(1)(0) = 0, y(2)(0) = 0, y(2)(inf) = 1. This new system of equations may then be solved numerically using the shooting method. For a description of this numerical method, please follow the given link:https://en.wikipedia.org/wiki/shooting_method。
引用为
穆罕默德·阿尔卡德拉(Mohammad Alkhadra)(2022)。用拍摄方法求解Blasius方程(//www.tianjin-qmedu.com/matlabcentral/fileexchange/69310-solving-blasius-equation-with-the-shooting-method),Matlab Central File Exchange。检索。