Can some share command for plotting contour plot in MATLAB using BVP4C. I will be extremely grateful.

5 次查看（过去 30 天）
Ali Imran
Ali Imran 2023-12-11
回答： Drishti 2024-9-23
i want plot stream lines graph in matlab using bvp4v code. Can some share command for plotting contour plot in MATLAB using BVP4C. I will be extremely grateful.
  1 个评论
Torsten
Torsten 2023-12-11
Please share your code. bvp4c has one independent variable, not two. So I don't know how a contour plot (that needs two independent variables) comes into play here.

请先登录，再进行评论。

请先登录，再回答此问题。

回答（1 个）

Drishti
Drishti 2024-9-23
Hi Ali,
The ‘bvp4c’ function is utilized to solve boundary value problems - fourth order method. To achieve a contour plot using ‘bvp4c’ function, we need to first solve the required differential equations.
The solution obtained from ‘bvp4c’ function can be further utilized to get contour plots as ‘contour’ function works on matrix data.
You can refer to the following example to understand the working of ‘bvp4c’ function.
% Define the system of ODEs
function dydx = odefun(x, y)
dydx = [y(2); -y(1)];
end
% Define the boundary conditions
function res = bcfun(ya, yb)
res = [ya(1); yb(1) - 1];
end
% Initial guess for the solution
xmesh = linspace(0, 1, 10);
solinit = bvpinit(xmesh, [0, 1]);
% Solve the BVP
sol = bvp4c(@odefun, @bcfun, solinit);
Furthermore, you can utilize the below code snippet to extend the output value of ‘bvp4c’ function to get contour plots.
% Evaluate the solution on a finer mesh
x = linspace(0, 1, 100);
y = deval(sol, x);
% Create a meshgrid for contour plotting
[X, Y] = meshgrid(linspace(0, 1, 100), linspace(-1, 1, 100));
% Interpolate the solution to get a matrix for contour plot
Z = interp1(x, y(1, :), X);
% Plot the contour using the interpolated solution
figure;
contour(X, Y, Z, 20);
For further information, you can refer to the MATLAB Documentation of ‘bvp4c’ and ‘contour’ functions.
  1. 'bvp4c' function : https://www.mathworks.com/help/releases/R2024a/matlab/ref/bvp4c.html
  2. 'contour' function : https://www.mathworks.com/help/releases/R2024a/matlab/ref/contour.html
I hope this resolves your query.

类别

在 Help Center 和 File Exchange 中查找有关 Boundary Value Problems 的更多信息

标签

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by