Question

Could you please write a simple program with "4th Order Runge-Kutta Method" for projectile motion(no air...

Could you please write a simple program with "4th Order Runge-Kutta Method" for projectile motion(no air resistance) in MATLAB?

Engineering   Computer-Science   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

import numpy import zeros, linspace, pi, cos, array import matplotlib.pyplot as plt omega = 2 P = 2*pi/omega dt = P/20 T = 3*P N_t = int(round(T/dt)) t = linspace(0, N_t*dt, N_t+1) u = zeros(N_t+1) v = zeros(N_t+1) # Initial condition X_0 = 2 u[0] = X_0 v[0] = 0 # Step equations forward in time for n in range(N_t): u[n+1] = u[n] + dt*v[n] v[n+1] = v[n] - dt*omega**2*u[n] fig = plt.figure() l1, l2 = plt.plot(t, u, 'b-', t, X_0*cos(omega*t), 'r--') fig.legend((l1, l2), ('numerical', 'exact'), 'upper left') plt.xlabel('t') plt.show() plt.savefig('tmp.pdf'); plt.savefig('tmp.png')

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Use C++ in Solving Ordinary Differential Equations using a Fourth-Order Runge-Kutta of Your Own Creation Assignment:...
Use C++ in Solving Ordinary Differential Equations using a Fourth-Order Runge-Kutta of Your Own Creation Assignment: Design and construct a computer program in C++ that will illustrate the use of a fourth-order explicit Runge-Kutta method of your own design. In other words, you will first have to solve the Runge-Kutta equations of condition for the coefficients of a fourth-order Runge-Kutta method.   See the Mathematica notebook on solving the equations for 4th order RK method.   That notebook can be found at...
10.16: Write a user-defined MATLAB function that solves a first-order ODE by applying the midpoint method...
10.16: Write a user-defined MATLAB function that solves a first-order ODE by applying the midpoint method (use the form of second-order Runge-Kutta method, Eqs(10.65),(10.66)). For function name and arguments use [x,y]=odeMIDPOINT(ODE,a,b,h,yINI). The input argument ODE is a name for the function that calculates dy/dx. It is a dummy name for the function that is imported into odeMIDPOINT. The arguments a and b define the domain of the solution, h is step size; yINI is initial value. The output arguments, x...
Write down the Lagrangian for a projectile (subject to no air resistance) in terms of its...
Write down the Lagrangian for a projectile (subject to no air resistance) in terms of its Cartesian coordinates (x,y,z) with z measured vertically upward. Find the three Lagrange equations and show that they are exactly what you would expect for the equations of motion.
could you please write a simple introduction about the impact person . my mother is the...
could you please write a simple introduction about the impact person . my mother is the impact person
Please make a Java program that has a menu method and includes dialog boxes. The program...
Please make a Java program that has a menu method and includes dialog boxes. The program will call the proper method, but each method will be completed later. Your program will keep track of information for a Hospital. The program will be menu-driven. Your menu is to look something like the following: UPMC Medical Center Add/Modify Patient Information Add/Modify Physician Information Add/Modify Medical Information Hospital Report Section Exit the Medical System Please Make your selection > In this first phase,...
Please write code in C. Thank you! Write a program that reads a list of integers,...
Please write code in C. Thank you! Write a program that reads a list of integers, and outputs the two smallest integers in the list, in ascending order. The input begins with an integer indicating the number of integers that follow. You can assume that the list will have at least 2 integers and less than 20 integers. Ex: If the input is: 5 10 5 3 21 2 the output is: 2 3 To achieve the above, first read...
Please answer quickly! Thank you. Java: Write a non-static method to be added to a class...
Please answer quickly! Thank you. Java: Write a non-static method to be added to a class that implements a singly linked list of integers. The method is called make_partition() and takes an integer x as input. The method should modify this list by moving all the elements less than x to the front of the list, and all the elements greater than x to the back of the list. It is not the important for the elements to be kept...
Could you write a c- program that reads a text file into a linked list of...
Could you write a c- program that reads a text file into a linked list of characters and then manipulate the linked list by making the following replacements 1. Replace all “c” with “s” if followed by the characters “e”, “i” or “y”; otherwise 2. Replace "sh" with ph This is the text to be manipulated: Paragraph1 She told us to take the trash out. Why did she do that? I wish she would not do that Paragraph 2 We...
Please write a java program Instructions Your goal is to take N integer inputs from the...
Please write a java program Instructions Your goal is to take N integer inputs from the user -- N's value will be given by the user as well. You can assume the user provides a valid value for N, i.e., >0. Store the input integers in an array of size N in the order they are provided. These tasks should be done in the main() method. Create a new method called checkArray() that will take the previously created array as...
Project 2 statement Please write this in JAVA. Please read this entire statement carefully before you...
Project 2 statement Please write this in JAVA. Please read this entire statement carefully before you start doing anything… This project involves implementing a simple university personnel management program. The program contains two different kinds of objects: students and faculty. For each object, the program stores relevant information such as university ID, name, etc. Different information is stored depending on the type of the object. For example, a student has a GPA, while a faculty has a title and department...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT