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Applied Engineering Maths..3D example on MATLAB software
![Program Code on MATLAB
% PAF-KIET
% Salman Khaliq 3746
% Assignment # 1
% Example of Scalar Gradient Field- 2D Graph
close all; clear;
x = -2:.2:2; y = -1:.2:1;
[xx,yy] = meshgrid(x,y);
s = xx.*exp(-xx.^2-yy.^2);
figure(1);surf(x,y,s);shading interp;
rotate3d;
xlabel('x');ylabel('y');zlabel('s');
title('2-D space varying scalar field: s = x e^{-(x^2+y^2)}');
pause;
[px,py] = gradient(s,.2,.2);
figure(2);quiver(x,y,px,py,2);
xlabel('x');ylabel('y');
title('Gradient of the scalar field: nablas=(1-2x^2)e^{-(x^2+y^2)} {bf x}
- 2xye^{-(x^2+y^2)} {bf y}');](data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)
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Aem
- 1. Course: AEM CId: 10447 Name: Salman Khaliq Bajwa Id: 3746 Assignment # 1
- 2. Program Code on MATLAB % PAF-KIET % Salman Khaliq 3746 % Assignment # 1 % Example of Scalar Gradient Field- 2D Graph close all; clear; x = -2:.2:2; y = -1:.2:1; [xx,yy] = meshgrid(x,y); s = xx.*exp(-xx.^2-yy.^2); figure(1);surf(x,y,s);shading interp; rotate3d; xlabel('x');ylabel('y');zlabel('s'); title('2-D space varying scalar field: s = x e^{-(x^2+y^2)}'); pause; [px,py] = gradient(s,.2,.2); figure(2);quiver(x,y,px,py,2); xlabel('x');ylabel('y'); title('Gradient of the scalar field: nablas=(1-2x^2)e^{-(x^2+y^2)} {bf x} - 2xye^{-(x^2+y^2)} {bf y}');
- 3. Snapshot