1. The following finite difference scheme of first order forward difference in time and centered, second...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
1. The following finite difference scheme of first order forward difference in time and centered, second order differences in space, u(x,t + At) - u(x, t) -u(x-2Ax, t) + u(x-Ax, t) - u(x+Ax, t) + u(x+2^x, t) + = 0, At Ax³ was developed in an attempt to solve numerically the partial differential equation, 2³ u əx³3 Use von Neumann stability analysis to show that the scheme above is unconditionally unstable ди at + = 0. 1. The following finite difference scheme of first order forward difference in time and centered, second order differences in space, u(x,t + At) - u(x, t) -u(x-2Ax, t) + u(x-Ax, t) - u(x+Ax, t) + u(x+2^x, t) + = 0, At Ax³ was developed in an attempt to solve numerically the partial differential equation, 2³ u əx³3 Use von Neumann stability analysis to show that the scheme above is unconditionally unstable ди at + = 0.
Expert Answer:
Answer rating: 100% (QA)
Answer take the Confine A Solution is ut x st Ut Ux 0 and Now the ti ... View the full answer
Related Book For
Data Analysis and Decision Making
ISBN: 978-0538476126
4th edition
Authors: Christian Albright, Wayne Winston, Christopher Zappe
Posted Date:
Students also viewed these mathematics questions
-
Managing Scope Changes Case Study Scope changes on a project can occur regardless of how well the project is planned or executed. Scope changes can be the result of something that was omitted during...
-
Planning is one of the most important management functions in any business. A front office managers first step in planning should involve determine the departments goals. Planning also includes...
-
The Crazy Eddie fraud may appear smaller and gentler than the massive billion-dollar frauds exposed in recent times, such as Bernie Madoffs Ponzi scheme, frauds in the subprime mortgage market, the...
-
Consider a situation with J identical firms that have marginal abatement cost functions for j=1,,J. The marginal damage function is equal to D'(E)=d.EDetermine the optimal allocation and the optimal...
-
The Befort Cozmpany filed for a patent on a new type of machine. The application costs totaled $12,000. R&D costs incurred to create the machine were $75,000. In the year in which the company filed...
-
Show that p | q is logically equivalent to (p q).
-
The adjusted trial balance for Destination Realty, Inc., at October 31, 2010, follows: Requirements 1. Prepare Destination Realtys income statement, statement of retained earnings, and year-end...
-
Moon Co., Inc., made several purchases of long-term assets in 2010. The details of each purchase are presented here. New Office Equipment 1. List price: $60,000; terms: 2/10 n/30; paid within...
-
Afterreadingthecaseanditsexhibitsrank order the four opportunities (e.g., #1 equals best opportunity) then plan on which opportunities,if any, youaregoingto bidon. Develop a briefing. Justify your #1...
-
Consider the transportation table given below. Find an initial solution using the northwest corner rule. What special condition exists? Explain how you will proceed to solve the problem. TO...
-
Question 1: Question 2: Consider the equation (5xy + 6xy + 4xy) dx + (2x + 3x+y + 3xy) dy = 0. (a) Show that the equation is not exact. (b) Multiply the equation by x"y" and determine values for n...
-
Use the distribution function method to obtain the density of \(1-e^{-X}\) when \(X\) has the exponential distribution with \(\beta=1\).
-
Suppose you are currently earning $15 an hour. If the inflation rate over the current year is 10 percent and your firm provides a cost-of-living raise based on the rate of inflation, what would you...
-
A random sample of 15 observations is taken from a normal population having variance \(\sigma^{2}=90.25\). Find the approximate probability of obtaining a sample standard deviation between 7.25 and...
-
What factors should affect the variability of the growth rate of real output? Which do you think could provide for more stability going forward, and which are likely to be less important?
-
Which of the following are economic goods? Explain why each is or is not an economic good. a. steaks b. houses c. cars d. garbage e. T-shirts
-
John Acorn, a pumpkinfarmer, has asked you to advise him on how he can protect himself against an adverse price movement regarding the sale of his pumpkinsusing futures contracts. He expects to have...
-
Draw and label the E and Z isomers for each of the following compounds: 1. CH3CH2CH==CHCH3 2. 3. 4. CH,CH2C CHCH2CH Cl CH3CH2CH2CH2 CH CH2CCCH2CI CHCH3 CH3 HOCH CH CCC CH O-CH C(CH
-
A home appliance company is interested in marketing an innovative new product. The company must decide whether to manufacture this product in house or employ a subcontractor to manufacture it. The...
-
Consider a large chain of supermarkets that sells its own brand of potato chips in addition to many other name brands. Management would like to know whether the type of display used for the store...
-
The file S02_03.xlsx contains data from a survey of 399 people regarding a government environmental policy. a. Create a crosstabs and an associated column chart for Gender versus Opinion. Express the...
-
A simplified vibration analysis of an airplane considers bounce and pitch motions (Fig. 6.24(a)). For this, a model consisting of a rigid bar (corresponding to the body of the airplane) supported on...
-
Derive the equations of motion, using Newton's second law of motion, for each of the systems shown in Figs. 6.21. Pulley, mass M, mass moment of inertia Jo 3r 3m T x(1) F(t) 2k 000 T x2(1) m T X3(1)...
-
Derive the equations of motion, using Newton's second law of motion, for each of the systems shown in Figs. 6.22. M, cos wt G 15 G3 13 ka 03 4 kn 12 G k3 16 G6 G Number of teeth on gear G, n, (i = 1...
Study smarter with the SolutionInn App