Show that the non linear, one dimensional porous medium equation du(x,t) at v(u(x,t) ), (2) has a separable solution with u 0, y 1 fort 2 0 For X(x) you can use the Ansatz X (x) r Determine a as function of y Show that the non linear, one dimensional porous medium equation du(x,t) at v(u(x,t) ), (...

The Answer is in the image, click to view ...

Show that the non-linear, one-dimensional porous medium equation du(x,t) at v(u(x,t)), (2) has a separable solution...

Fantastic news! We've Found the answer you've been seeking!

Question:

Related Book For answer-question

Numerical Analysis

ISBN: 978-0538733519

9th edition

Authors: Richard L. Burden, J. Douglas Faires

See More Books

Posted Date: Dec 09, 2020 01:00 PM

See More Questions

For a 2 x 2 linear DE system we can make a quick handsketch of the elliptical trajectories as follows. (a) All the elliptical trajectories are concentric and similar, so we can get all the key...
Use dimensional analysis to determine how the linear speed (v in m/s) of a particle traveling in a circle depends on some, or all, of the following properties: r is the radius of the circle; w is an...
A linear function f: X Y is bounded if X has finite dimension. Rewriting (4), we have that a linear function f is bounded if there exists a constant M For every x X The smallest constant M satisfying...
Narrowly defining public stock companies in terms of financial performance can lead to Blank______. improved public relations more accurate accounting black swan events more efficient production
A cascade system is composed of two ideal refrigeration cycles, as shown in Fig. 11.41. The high-temperature cycle uses R-22. Saturated liquid leaves the condenser at 40C, and saturated vapor leaves...
A centrifuge that is $40 \mathrm{~cm}$ ID and $30 \mathrm{~cm}$ long has an overflow weir that is $5 \mathrm{~cm}$ wide. The centrifuge operates at a speed of $3600 \mathrm{rpm}$. (a) What is the...
What are the effects of air infiltration in condensers ?
Van Etten Company declared and paid a cash dividend of $3.25 per share on its $1 par common stock . Van Etten has 100,000 shares of common stock outstanding and total paid-in capital from common...
Golden State Elixirs' tinctures are produced in four steps: extraction, blending, testing, and bottling. The first step is the extraction of cannabis oil from cannabis buds, also called cannabis...
Acme Manufacturing makes a variety of household appliances at a single manufacturing facility. The expected demand for one of these appliances during the next four months is shown in the following...
Look at the social media marketing benefits listed above. Now look at the company's posts across platforms. Which of these marketing benefits do you think the company is gaining by posting on social...
Consider the case of Berghuis v. During their hours of questioning Thompkins, do you believe the law enforcement officials violated Thompkinss fifth amendment right against self-incrimination?...
Describe the SECs role in regulating securities transactions in the United States. Discuss the mission and purpose of the SEC.
Anheuser-Busch, owner of the Budweiser and Bud Light brands, was once the largest brewer in the United States, with a nearly 50 percent market share and annual revenues of $$16$ billion. In 2008, a...
Describe the advantages and disadvantages of forming a limited liability company (LLC) versus a corporation.
A uniform magnetic field exists in a circular area. A particle carrying charge $q=5.0 \mathrm{mC}$ is placed in the field a distance $r_{\mathrm{p}}=20 \mathrm{~mm}$ from the center of the...
Tan-O-Rama is a local tanning salon. The following information reflects its number of appointments and total costs for the first half of the year: Month Appointments Number of Total Cost January 500...
Conduct a VRIO analysis by ranking Husson University (in Maine) business school in terms of the following six dimensions relative to the top three rival schools. If you were the dean with a limited...
Repeat Exercise 1 using complete pivoting. In Exercise 1 a. x1 5x2 + x3 = 7, 10x1 + 20x3 = 6, 5x1 x3 = 4 b. x1 + x2 x3 = 1, x1 + x2 + 4x3 = 2, 2x1 x2 + 2x3 = 3 c. 2x1 3x2 + 2x3 = 5, 4x1 + 2x2 ...
Prove Kahan's Theorem 7.24. [Hint: If 1, . . . , n are eigenvalues of T, Since det D1 = det(D L) 1 and the determinant of a product of matrices is the product of the determinants of the factors, the...
Repeat Exercise 3 using the Jacobi method. Repeat Exercise Use the QR Algorithm to determine, to within 105, all the eigenvalues for the matrices given in Exercise 1. In exercise a. b. c. d. e. f....
(a) A car is speeding up in the negative $x$ direction. In what direction do $\vec{a}$ and $\vec{v}$ point? (b) To which of the four graphs in Figures 3 . 2 and 3 . 3 does the situation...
The $x$ component of the velocity of a car changes from $-10 \mathrm{~m} / \mathrm{s}$ to $-2.0 \mathrm{~m} / \mathrm{s}$ in $10 \mathrm{~s}$. (a) Is the car traveling in the positive or...
A classmate leaves a message on your voice mail betting that you cannot throw a stone high enough so it lands on the roof of a 20 -m-high building. As you stare out of your window pondering whether...

Show that the non-linear, one-dimensional porous medium equation du(x,t) at v(u(x,t)), (2) has a separable solution...

Question:

Expert Answer:

Numerical Analysis

Students also viewed these accounting questions