Runge-Kutta Method

Write a program for the second order Runge-Kutta Method with automatic step control to solve ordinary differential equation systems.  Store the results so that they can be used later to construct a table and to draw the curve as y(t) versus t or in systems y_1 versus y_2. Test the program with the problem y_1^’=-y_(2,) ? y?_2^’=y_1 with initial conditions ? y?_1 (0)=1,? y?_2 (0)=0. Verify that the exact solution represents uniform motion along the unit circle in the plane ?(y?_1,y_2). Stop the calculations after 10 revolutions (t=20?). Perform experiments with different tolerances and determine how small the tolerance should be so that the circle on the screen does not become thick. When applying the program to solve a second order equation, in the resulting system the unknowns represent the solution and of the original equation and its derivative y^’. Consider 6 values of the solution and construct an interpolation polynomial and show that the roots of y^’ are points of possible y-end.  TP:  Implement all the root search algorithms studied in classes.

Struggling to find relevant content? Order a custom essay on
Runge-Kutta Method
Let our experts save you the hassle
Order Now
Calculate the price
Make an order in advance and get the best price
Pages (550 words)
$0.00
*Price with a welcome 15% discount applied.
Pro tip: If you want to save more money and pay the lowest price, you need to set a more extended deadline.
We know how difficult it is to be a student these days. That's why our prices are one of the most affordable on the market, and there are no hidden fees.

Instead, we offer bonuses, discounts, and free services to make your experience outstanding.
Sign up, place your order, and leave the rest to our professional paper writers in less than 2 minutes.
step 1
Upload assignment instructions
Fill out the order form and provide paper details. You can even attach screenshots or add additional instructions later. If something is not clear or missing, the writer will contact you for clarification.
s
Get personalized services with GPA Fix
One writer for all your papers
You can select one writer for all your papers. This option enhances the consistency in the quality of your assignments. Select your preferred writer from the list of writers who have handledf your previous assignments
Same paper from different writers
Are you ordering the same assignment for a friend? You can get the same paper from different writers. The goal is to produce 100% unique and original papers
Copy of sources used
Our homework writers will provide you with copies of sources used on your request. Just add the option when plaing your order
What our partners say about us
We appreciate every review and are always looking for ways to grow. See what other students think about our do my paper service.
Criminal Justice
Looks good! Thank you Jason
Customer 452711, January 25th, 2022
Philosophy
i got the paper a bit late but it is good quality will for sure come back and use this website.
Customer 452611, September 9th, 2021
Business and administrative studies
Thanks
Customer 452701, August 16th, 2022
Social Work and Human Services
Thank you for the great job
Customer 452469, February 3rd, 2021
Social Work and Human Services
Great Work!
Customer 452587, October 13th, 2021
Database design and optimization
thanks for busting this out so expeditiously. I hope that I get a good grade.
Customer 452715, February 19th, 2022
IT, Web
Did an excellent job with the body of the paper and staying on the topic.
Customer 452885, October 27th, 2022
Other
GOOD
Customer 452813, July 10th, 2022
Professions and Applied Sciences
Amazing work!
Customer 452707, May 29th, 2022
Social Work and Human Services
Great Work!
Customer 452587, September 16th, 2021
nursing
Thank you!
Customer 452707, April 2nd, 2022
Social Work and Human Services
Thank You!
Customer 452587, November 17th, 2021
OUR GIFT TO YOU
15% OFF your first order
Use a coupon FIRST15 and enjoy expert help with any task at the most affordable price.
Claim my 15% OFF Order in Chat
error: Content is protected !!

Save More. Score Better. Use coupon code SPECIAL for a 15%discount