Boundary value problem using keller box method
显示 更早的评论
Hi everyone, How to solve the given equation using Keller-Box method.
Equation: 
Bcs: 
for 
3 个评论
Torsten
2022-11-6
Before starting with an exotic solution method, I suggest to set up the problem first with the usual MATLAB tool "bvp4c".
This way, you can compare your results with a well-tested software.
Chukwudi Andrew
2026-3-4
Modelling the system of boundary layer equations:
,
, subject to boundary conditions:
, where ′ denotes differentiation with respect to η, m is a constant and PR is the Prandtl number. Physical quantities of interest in this system are the skin friction coefficient 
and the local Nusselt number 
, which are defined as 
, 
.
and the local Nusselt number , which are defined as , . By using an appropriate numerical method of a boundary value problem and computer application. Generate results of the velocity profiles of f′(η) vs η and the temperature profiles of θ(η) vs η. Let the value of parameters m and Pr become:
m = -0.0756, 0.000, 0.111, 0.333, 1.000
Pr = 0.05, 0.72, 1.0, 7.0, 100.
Torsten
2026-3-4
Define
u1 = f, u2 = f', u3 = f'', u4 = theta, u5 = theta''
, set up the problem as
u1' = u2
u2' = u3
u3' = -0.5*(m+1)*u1*u3 - m*(1-u2^2)
u4' = u5
u5' = -0.5*Pr*(m+1)*u1*u5
and use "bvp4c" to solve.
回答（0 个）
类别
在 帮助中心 和 File Exchange 中查找有关 Assumptions 的更多信息
2022-11-6
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!
Translated by 
