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Rk4 Output

The document presents a MATLAB simulation for a system of ordinary differential equations (ODEs) with specified functions and initial conditions. It includes the time steps from 0 to 1 with corresponding values for variables w, x, y, and z. The results show the evolution of these variables over the specified time interval.

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3 views1 page

Rk4 Output

The document presents a MATLAB simulation for a system of ordinary differential equations (ODEs) with specified functions and initial conditions. It includes the time steps from 0 to 1 with corresponding values for variables w, x, y, and z. The results show the evolution of these variables over the specified time interval.

Uploaded by

deva
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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MATLAB Command Window Page 1

Name: DEVASURYA D
Register Number: 2024214001
Division: Engineering Design
Department: Mechanical Engineering
Enter the functions for the system of ODEs:
f1(t, w, x, y, z): -x + y + 2*z
f2(t, w, x, y, z): w - 2*y
f3(t, w, x, y, z): w + 2*x + z
f4(t, w, x, y, z): w + x - y
Enter initial time t0: 0
Enter initial value w0: 1
Enter initial value x0: 0
Enter initial value y0: -1
Enter initial value z0: 2
Enter the time step size h: 0.1
Enter the final time tf: 1
t w x y z
0.0000 1.0000 0.0000 -1.0000 2.0000
0.1000 1.3233 0.2821 -0.6449 2.2133
0.2000 1.7065 0.5173 -0.1803 2.4468
0.3000 2.1689 0.6910 0.3915 2.6912
0.4000 2.7291 0.7909 1.0665 2.9379
0.5000 3.4049 0.8075 1.8394 3.1797
0.6000 4.2127 0.7343 2.7045 3.4108
0.7000 5.1682 0.5674 3.6560 3.6271
0.8000 6.2860 0.3056 4.6890 3.8263
0.9000 7.5800 -0.0502 5.7997 4.0078
1.0000 9.0636 -0.4970 6.9862 4.1730
>>

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