Solve the heat problem (1)(3) by CrankNicolson for 0 t 0.20 with h = 0.2
Question:
Solve the heat problem (1)–(3) by Crank–Nicolson for 0 ≤ t ≤ 0.20 with h = 0.2 and k = 0.04 when f(x) = x if 0 ≤ x ≤ 1/2, f(x) = 1 - x if 1/2 ≤ x ≤ 1. Compare with the exact values for t = 0.20 obtained from the series (2 terms).
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 55% (9 reviews)
We obtain 10Scomputation rounded to 4D t 004 00...View the full answer
Answered By
Joan Gakii
I'm a meticulous professional writer with over five years writing experience. My skill set includes
- Digital Content,
- Interpersonal Communication,
- Web Content and academic Writing,
- Proofreading,
- Editing,
- Project Management, and
- Public Relations.
5.00+
7+ Reviews
12+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Solve the heat problem (1)(3) by the explicit method with h = 0.2 and k = 0.01, 8 time steps, when f(x) = x if 0 x 1/2, f(x) = 1 - x if 1/2 x 1. Compare with the 3S-values 0.108, 0.175 for t =...
-
(a) Write programs for the explicit and the CrankNicolson methods. (b) Apply the programs to the heat problem of a laterally insulated bar of length 1 with u(x, 0) = sin Ïx and u(0, t) = u(1, t)...
-
The (m 1) Ã (m 1) matrices A and B given by And are involved in the Crank-Nicolson method to solve the heat equation (see Section 12.2).Withm = 11, approximate Ï(A1 B) for each of the...
-
What is the best way to describe automation? developing highly advanced robots that can mimic higher-levelhuman thinking making human workers fully reliant on technology to performtheir job...
-
Provide five methods for helping people to save?
-
How does the price cap influence a. The quantity of gasoline sold and the shortage or surplus of gasoline? b. The maximum price that someone is willing to pay for the last gallon of gasoline...
-
Derive the frequency equation for the longitudinal vibration of a stepped bar having two different cross-sectional areas \(A_{1}\) and \(A_{2}\) over lengths \(l_{1}\) and \(l_{2}\), respectively....
-
(Multiple Choice) 1. What is the best source of income for a corporation? a. Prior-period adjustments b. Continuing operations c. Discontinued operations d. Extraordinary items 2. Leslies Lotion...
-
The probability distribution for chlorine gas is shown in the diagram below. Determine the temperature of the gas. Take the molar mass of chlorine to be 80 g/mol. K P 580 1160 1740 2320 2900 v (m/s)
-
XYZ is a calendar-year corporation that began business on January 1, 2020. For the year, it reported the following information in its current-year audited income statement. Notes with important tax...
-
Do 10 steps. Compare as indicated. Show details. y' = y - y 2 , y(0) = 0.2, h = 0.1. Compare with Prob. 8. Data from Prob. 8 y' = y - y 2 , y(0) = 0.2, h = 0.1
-
Using the answer to Prob. 13, try to sketch some isotherms. Data from Prob.13 For the square 0 x 4, 0 y 4 let the boundary temperatures be on the horizontal and 50C on the vertical edges. Find...
-
In addition to identifying and training good managers, what else could an organization do to increase levels of employee engagement?
-
A stock broker owns five suits and 12 ties. Assuming that all the suits and ties match, determine how many different outfits (combinations) the stock broker can wear.
-
The Whiter Smile Company is about to begin selling a new toothpaste. Company planners know that the probability of the new product being profitable is 10 %. They also know from previous market...
-
A real estate developer offers homes in five different colors and three different models. How many different combinations of color and model can the real estate developer offer?
-
An advertising agency wanted to find out what kinds of readers subscribed to a sports magazine. The agency sent out questionnaires with the magazine and received the following result: (a) If we know...
-
When playing the Megabucks Lottery, a player is supposed to pick 6 numbers out of 48. If the lottery committee randomly picks the same 6 numbers, then the player hits the jackpot. What is the chance...
-
Describe the relationship between product quality and a companys ethical behavior.
-
Open Text Corporation provides a suite of business information software products. Exhibit 10-9 contains Note 10 from the companys 2013 annual report detailing long-term debt. Required: a. Open Text...
-
Use the previous information to answer the following questions. a. What is the population of interest? b. Do you believe that the proportion of likely voters for the incumbent in the sample is likely...
-
Use the previous information to answer the following questions about the political survey. a. Describe in words the parameter of interest. b. Identify the numeric value of the statistic corresponding...
-
Use the previous information to answer the following questions about the political survey. a. Identify the variable measured on each likely voter. b. Is the variable categorical or quantitative? c....
-
Calculate the cost per unit, and then use it to identify if each cost is fixed, variable, or mixed. Cost 1 Cost 2 Cost 3 2. Cost 1 Cost 2 Cost 3 Units Total Cost per Total Cost per Total Cost per...
-
Consider the auction of a single indivisible object to two risk neutral bidders, each of whom receives a private signal X; (i = {1,2}) which is independently and uniformly distributed on the interval...
-
Complete Principal of statistics 1. Find a set of data. You can find this online, in a book, collect your own. In the box below put your data in a chart. 5pt 2. Tell me where you got your data. (i.e....
Study smarter with the SolutionInn App