We first consider the following single degree of freedom (SDOF) problem: i + Au= 10 cos(t/10)...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
We first consider the following single degree of freedom (SDOF) problem: i + Au= 10 cos(t/10) 20= 100 where the exact solution is given by: 1000X - (10- 1+100X² and the numerical error is defined as: u(t) = Error = -At exp + 100[10X cos(t/10) + sin(t/10)] 1 + 100X² Numerical Exact Exact (1) (2) (3) Define the time step length: h= 0.01, and 1. Use Explicit Euler Forward scheme to get u at t₁, t2 and t3 and the associated errors (20 points) 2. Use RK 4 to solve this problem to get u at t₁, t2 and t3 and the associated errors (20 points) 3. Use Implicit Euler Backward to to get u at t₁, t2 and t3 and the associated errors (20 points) We first consider the following single degree of freedom (SDOF) problem: i + Au= 10 cos(t/10) 20= 100 where the exact solution is given by: 1000X - (10- 1+100X² and the numerical error is defined as: u(t) = Error = -At exp + 100[10X cos(t/10) + sin(t/10)] 1 + 100X² Numerical Exact Exact (1) (2) (3) Define the time step length: h= 0.01, and 1. Use Explicit Euler Forward scheme to get u at t₁, t2 and t3 and the associated errors (20 points) 2. Use RK 4 to solve this problem to get u at t₁, t2 and t3 and the associated errors (20 points) 3. Use Implicit Euler Backward to to get u at t₁, t2 and t3 and the associated errors (20 points)
Expert Answer:
Related Book For
Posted Date:
Students also viewed these programming questions
-
Item Prior year Current year Accounts payable 8,110.00 7,940.00 Accounts receivable 6,031.00 6,527.00 Accruals 1,016.00 1,344.00 Cash ??? ??? Common Stock 11,889.00 11,680.00 COGS 12,793.00 18,385.00...
-
Search for a recruitment advertisement of "Operations Manager" for a manufacturing (eg. factory) or service organisation (eg. restaurant). (a) Copy and paste a picture of the recruitment...
-
Find the values of the parameter p > 0 for which the following series converge. 00 1 k=2 (Ink)P
-
In January 2017, the management of Stefan Company SE concludes that it has sufficient cash to permit some short-term investments in debt and share securities. During the year, the following...
-
1. How was mismanagement at Krispy Kreme reflective of leadership failure? 2. Describe the financial shenanigans used by Krispy Kreme. In this regard, is earnings management always a sign of failed...
-
What is meant by a systems control flow?
-
You have gathered the following data on three bonds: a. If the market's required return on all three bonds is 6%, what are the market prices of the bonds (you can assume annual interest payments). b....
-
Using the IT career field term "server", compose a sentence definition and an expanded definition for a non-technical person. Include a brief statement in which you explain who the non-technical...
-
Part 1: Calculate the companys Weighted Average Cost of Capital (30 marks) a) Calculate the before-tax cost of bank loans, mortgage loans, and corporate bonds (6 marks). b) Calculate the (market)...
-
The diagram figure 2 is an extract an industrial control panel wiring diagram. Convert the diagram into PLC format. Identify all inputs and outputs by the use of I/O designation charts. RUNG 1 RUNG 2...
-
Using the diagram below, calculate the depth of penetration of skin for the average and maximum beta energies emitted by cobalt-60. Provide your final answers in millimeters. How does this compare...
-
The results achieved in the targeting stage with ATmin = 20C include = 40 MW = 38 MW = 150C Minimum hot utility Minimum cold utility Pinch temperature (a) Draw the network design for the problem to...
-
frictionless track is given by the acceleration due to gravity of a cart down a a = g sine, where is the angle that the track makes with the horizontal. (This hopefully makes some intuitive sense:...
-
Assume p = 1000 kg/m; %= 9.8 kN/m; g = 9.8 m/s for all questions in this assignment. You have completed a drilling investigation for a site proposed for a proposed development for a new housing...
-
Write a sub procedure to calculate the total heat required to vaporize given amount or ice. Specific details of the problem are as follows: a. User should enter the mass of ice (grams), initial...
-
A sculptor makes a miniature model before starting the final version. Her model is scaled so that (1)/(4) of an inch corresponds to 6 feet on the final version. The base of her model is (5)/(12) of...
-
What are current assets and current liabilities? How are they different from non-current assets and non-current liabilities?
-
Vista City hospital plans the short-stay assignment of surplus beds (those that are not already occupied) 4 days in advance. During the 4-day planning period about 30, 25, and 20 patients will...
-
The Bank of Elkins is allocating a maximum of $200,000 for personal and car loans during the next month. The bank charges 14% for personal loans and 12% for car loans. Both types of loans are repaid...
-
The NW Shopping Mall conducts special events to attract potential patrons. Among the events that seem to attract teenagers, the young/middle-aged group, and senior citizens, the two most popular are...
-
\(F(t)=\alpha\) t corresponds to: a. an impulse b. step force c. ramp force
-
Firm F produces five products: A, B, C, D, and E. Relevant data for all five products are as follows (figures in millions of dollars). There are no cross-selling effects (i.e., sales of one product...
-
If the discount rate in exercise Automato Inc. in section 12.2.1 had been 18 percent, the resulting NPV would have been \($10,000.\) Given that the cost of the study made by the consulting firm was...
Study smarter with the SolutionInn App