Determine the relative global error, Mathematics

Assignment Help:

Consider the differential equation give by

y′ = -10(y - sin t)

(a) Derive by hand exact solution that satis?es the initial condition y(0) = 1.

(b) Numerically obtain the solution to the IVP using Forward Euler with a step size of h = 0.1 from t = 0 to t = 3. Print the value of the approximate solution at time t = 3. Also plot the exact solution (with a solid line) and the approximate solution (with square markers) on the same plot.

(c) Numerically determine the relative global error,

1628_Determine the relative global error.png

of your approximate solution at t = 3 when h = h, h/2, h/4, h/8 and h/16.

Plot the log of the relative error vs. the log of the spacing h. Explain why this veri?es your scheme is convergent to order 1.


Related Discussions:- Determine the relative global error

Example to understanidng of multiplication, 6-year-old Rahul wasn't able to...

6-year-old Rahul wasn't able to understand multiplication when it was thrust upon him in school. His mother discussed this problem with some of us. On the basis of suggestions that

Errors are useful in learning maths, Errors Are Useful :  While teaching c...

Errors Are Useful :  While teaching children, you must have found theft making mistakes off and on. How do you respond to the errors'? What do they tell you about the child-failur

Sample of proportion program., help me with how to write sample of proport...

help me with how to write sample of proportion using visual basic

Three set problems, In a class,there are 174 students in form three,86 stud...

In a class,there are 174 students in form three,86 students play table tennis,84 play football and 94 play volleyball,30 play table tennis and volleyball,34 play volleyball and foo

Static or dynamic, Consider a discrete-time system that is characterized by...

Consider a discrete-time system that is characterized by the following difference equation: Y(n) = x(n)cos? 0 n, where ? 0  is constant value, x(n)are the discrete-time input

Find the probability density function, 1. The lifetime T (in days) of an el...

1. The lifetime T (in days) of an electrical component has reliability function given by: R(t) = e -0.01t for time t > 0. An electrical system consists of four such components. Th

Estimate root of given equations, The positive value of k for which x 2 +K...

The positive value of k for which x 2 +Kx +64 = 0 & x 2 - 8x + k = 0 will have real roots . Ans: x 2 + K x + 64 = 0 ⇒  b 2 -4ac > 0 K 2 - 256 > 0 K

Find out the surface area of the solid - parametric curve, Find out the sur...

Find out the surface area of the solid acquired by rotating the following parametric curve about the x-axis. x = cos 3 θ y = sin 3 θ  0 ≤ θ ≤ ?/2 Solution We wil

Sum, As1212uestion #Minimum 100 words accepted#

As1212uestion #Minimum 100 words accepted#

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd