Compute estimates of x(2) using the second order predictor

Assignment Help Mechanical Engineering

Reference no: EM131080908

Consider the initial-value problem

(a) Compute estimates of x(2) using the second order Adams-Bash forth scheme (using the second-order predictor-corrector to start the computation) with step sizes h = 0.2 and 0.1. From these two estimates of x(2) estimate what step size would be needed to compute an estimate of x(2) accurate to 3dp. Compute X(2), first using your estimated step size and second using half your estimated step size. Does the required accuracy appear to have been achieved?

(b) Compute estimates of x(2) using the second order predictor-corrector scheme with step sizes h = 0.2 and 0.1. From these two estimates of x(2) estimate what step size would be needed with this scheme to compute an estimate of x(2) accurate to 3dp. Compute X(2), first using your estimated step size and second using half your estimated step size. Does the required accuracy appear to have been achieved?

(c) Compute estimates of x(2) using the fourth order Runge-Kutta scheme with step sizes h = 0.4 and 0.2. From these two estimates of x(2) estimate what step size would be needed to compute an estimate of x(2) accurate to 5 dp. Compute X(3), first using your estimated step size and second using half your estimated step size. Does the required accuracy appear to have been achieved?

Reference no: EM131080908

Questions Cloud

Identify differences in deductive and inductive arguments : Identify the differences between deductive and inductive arguments. Additionally, explain how misleading reasoning is used to influence others.

Difference between building cohesiveness in project teams : In your view, what is the difference between building cohesiveness in project teams in contrast to traditional/permanent teams? How do permanent teams build cohesiveness in contrast to project teams which tend to be temporary structures?

Find an equation of the tangent plane : (a) Find an equation of the tangent plane to z = f(x; y) at (e^2, 2, 4). (b) Use the linearization L(x; y) of f at that point to approximate f(7.3, 2.1).

What is probability that employee will not find drink : Each morning, the refrigerator in a small machine shop is stocked with two cases (24 cans per case) of soft drinks for use by the shop's 10 employees. What is the probability that an employee will not find a drink at noon ?

Compute estimates of x(2) using the second order predictor : Compute estimates of x(2) using the second order Adams-Bash forth scheme (using the second-order predictor-corrector to start the computation) with step sizes h = 0.2 and 0.1.

Given how important succession management programs : Given how important succession management programs are, how can companies persuade their managers to support and commit to their succession management activities?.

Replacement analysis using expected values : A company manufactures specialty devices for machinery. One particular device has reached maturity, and the company is considering whether to replace it with a newer model. Technologies have not changed dramatically so the new device would have simil..

Members working in more traditional work environment : List and explain the core competencies that virtual team members should have or need to develop, focusing on the differences with team members working in a more traditional work environment.

Life insurance on decedent is included in the gross estate : What is the test for determining whether life insurance on a decedent is included in the gross estate? How is this important in an estate plan? Describe the treatment on the estate tax return of jointly owned property in the estate of the first joint..

User Account

All Pages