Consider a model equation in a domain [0,1]: with the initial value given by at...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Consider a model equation in a domain [0,1]: with the initial value given by ди at + du ????x u(x,0) = µu (u − 1)(u— 1½) 1 0 if x ≤ 0.3 if x > 0.3 The exact solution is given by u(x,t) = u(x-t,0). Obtain solution to this model equation at t= 0.3 for = 1, 5, 50, 500, and 1000. 1. Compute your answer using a linearized implicit method and plot against the exact solution. 2. Try using any 1st order explicit method and any 2nd order explicit method. Compare against the exact solution. is a stiffness coefficient, which is analogous to Reynolds or Damkohler number. State what you have observed on the stiffness of ordinary differential equations. Consider a model equation in a domain [0,1]: with the initial value given by ди at + du ????x u(x,0) = µu (u − 1)(u— 1½) 1 0 if x ≤ 0.3 if x > 0.3 The exact solution is given by u(x,t) = u(x-t,0). Obtain solution to this model equation at t= 0.3 for = 1, 5, 50, 500, and 1000. 1. Compute your answer using a linearized implicit method and plot against the exact solution. 2. Try using any 1st order explicit method and any 2nd order explicit method. Compare against the exact solution. is a stiffness coefficient, which is analogous to Reynolds or Damkohler number. State what you have observed on the stiffness of ordinary differential equations.
Expert Answer:
Answer rating: 100% (QA)
1 Solution at t 03 for 1 5 50 500 and 1000 For t 03 the exact solution for different values of x is given below x ux 03 1 u103 0 u07 0 5 u503 0 u47 0 ... View the full answer
Related Book For
Essentials of Marketing
ISBN: 978-0078028885
13th edition
Authors: William D. Perreault, Joseph P. Cannon
Posted Date:
Students also viewed these chemical engineering questions
-
Would consumers be better off if all nations dropped their antidumping laws? Explain your thinking.
-
Would consumers be better off if all nations dropped their antidumping laws? Explain your thinking.
-
The table below shows the payoff matrix for a game between Toyota and Honda, each of which is contemplating building a factory in a new market. Each firm can either build a small factory (and produce...
-
In Exercises 3336, use possible symmetry to determine whether each graph is the graph of an even function, an odd function, or a function that is neither even nor odd. ------ -2, y CI (0,4) 2 14...
-
Is the following reaction the appropriate one to use in determining the enthalpy of formation of methane, CH4(g)? Why or why not? C(g) + 4H(g) CH4(g)
-
During the current year, 40 acres of land that cost $200,000 were condemned for construction of an interstate highway. Assuming that an award of $320,000 in cash was received and that the applicable...
-
5 percent interest per month. The sterilizer was delivered on August 23, 1996. The last payment was received on April 21, 1998. At the time of the last payment, the defendant still owed the plaintiff...
-
How much impact might microprocessors have on production costs? Assume that variable overhead represents the same percentage of costs as fixed overhead. Find the net present value if the...
-
Imagine that you lend $5,000 to a friend at 7%, and say, "Pay me back when you get a job." Five years later, your friend gets a job and pays you back. Your friend assumed that you meant simple...
-
Murphy Delivery Service completed the following transactions during December 2018: Dec. 1 Murphy Delivery Service began operations by receiving $13,000 cash and a truck with a fair value of $9,000...
-
Explain the Facts of the case Texas v. Johnson 509 US 350 (1993) III. What is/are the Issue/s before the Court? State the issue/s as a question. Distill the case into the core legal question or rule...
-
The Rocky Flats Plant of Rockwell International is committed to hiring hard-core unemployed people for entry-level positions with the intention of migrating them upward. However, many new employees...
-
Pennsylvanias Department of Community and Economic Development maintains a network of industrial resource centers (IRCs) that are operated as nonprofit corporations managed by the private sector but...
-
Reliance Control Systems is a large manufacturer of control systems for the electrical power generation and distribution industry. Over the past few years, Reliance has watched overseas competitors...
-
The plant managers of ABC Corporations five plants have met at a common location at 8:00 am every Monday morning for 20 years. The people serving as plant managers have changed several times during...
-
The Quality Institute (TQI) is a partnership of Northwest Florida State College, the University of West Florida, and the Economic Development Council of Okaloosa County. TQI is dedicated to the...
-
What general attitudes toward time can you expect when doing business in India, Mexico, France, Kenya, and China? How do businesspeople typically behave when they need to say "no" in Thailand, Egypt,...
-
Time Solutions, Inc. is an employment services firm that places both temporary and permanent workers with a variety of clients. Temporary placements account for 70% of Time Solutions' revenue;...
-
Discuss several ways in which physical goods are different from pure services. Give an example of a good and then an example of a service that illustrates each of the differences.
-
Joe Tulkin owns Tulkin Wholesale Co. He sells paper, tape, file folders, and other office supplies to about 120 retailers in nearby cities. His average retailer-customer spends about $900 a month....
-
Discuss why economies of scale in transportation might encourage a producer to include a regional merchant wholesaler in the channel of distribution for its consumer product.
-
Compare and contrast the conceptual and physical properties of money.
-
Compare and contrast monetary policy and fiscal policy.
-
Compare and contrast open market operations and reserve requirement.
Study smarter with the SolutionInn App