Write a function that can solve an ode using modified euler

Assignment Help Computer Engineering

Reference no: EM132100058

Please Reply in matlab code that can be subbed straight into matlab is possible.

1. Numerically solve the ODE: y'= 10 - y^2 using ode45. Use a start time of 0, end time of 1, and an initial condition of 0.

2. Using a while loop, write a function that can solve an ODE using Modified Euler's method. This function will work similarly to ode45, but the step size will have to be specified as an input.

3. Add an if statement to your your function so that it doesn't overshoot the end time (i.e. change h in the final step to exactly reach the end time).
4. Adjust your function so that it has adaptive time stepping. If at any point exceeds 0.5, the value for h should be halved.

5. Solve the ODE from Q1 using your final function with a step size of 0.3. Plot the solution from and in the same figure. Comment on the accuracy of your numerical approximation, and discuss whether the requirements from Q3 and Q4 were met (ie. does it finish at exactly 1 s, and does the step size adapt).

Reference no: EM132100058

Questions Cloud

Parkinson disease and multiple sclerosis : What are some of the differences between Parkinson's Disease and Multiple Sclerosis?

What are the major symptoms of tourette syndrome : What are the major symptoms of Tourette's syndrome? What do you think accounts for the patient's lack of "self-censorship" and other unusual behaviors?

Could amino acids be used to form cell membranes : Could amino acids be used to form cell membranes if there were no phospholipids? Discuss

What is the main example of hereditary people : What is the main example of hereditary people should use artificial insemination to have a baby or produce success?

Write a function that can solve an ode using modified euler : Write a function that can solve an ODE using Modified Euler's method. This function will work similarly to ode45, but the step size will have to be specified.

Define the alleles and show all your work : In a certain breed of domestic fowl, pea comb is dominant to single comb but feather colour shows absence of dominance. Black feathers

Write down a c program to generate a matrix : The program should take the matrix dimensions (number of rows and number of columns) from the user.

Extreme abdominal pain and extreme thirst : This was followed by extreme abdominal pain and extreme thirst. He called his endocrinologist, who told him that he needs to seek emergency care.

What are the steps for a qrt-pcr : What are the steps for a qRT-PCR? It is a quantitative reaction time polymerase chain reaction.

User Account

All Pages