Consider the following differential equation: Assume a solution of the form: (tilde{u}(x)=c_{1} x+c_{2} x^{2}). Calculate the unknown

Question:

Consider the following differential equation:

image text in transcribed

Assume a solution of the form: $\tilde{u}(x)=c_{1} x+c_{2} x^{2}$. Calculate the unknown coefficients using the Galerkin method. Compare $u(x)$ and $d u(x) / d x$ with the exact solution: $u(x)=3.7 \sin x-x$ by plotting the solution.

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

Step by Step Answer:

Related Book For answer-question

Introduction To Finite Element Analysis And Design

ISBN: 9781119078722

2nd Edition

Authors: Nam H. Kim, Bhavani V. Sankar, Ashok V. Kumar

Question Posted: Mar 16, 2024 12:21 PM

See More Questions

"internet radios" for streaming audio, and personal video recorders and players. Describe design and evaluation processes that could be used by a start-up company to improve the usability of such...
If F is a function of V and T, prove that -T), -v), F H = FT), -v() F G = F V T
answer all questions as instructed below. attend all questions. 4 Computer Vision (a) Explain why such a tiny number of 2D Gabor wavelets as shown in this sequence are so efficient at representing...
1. Suppose India follows China and accelerates its industrialization. For India, this will: A. Decrease imports and raise net exports B. Increase imports and lower net exports C. Increase imports and...
Consider the Spearman rank correlation coefficient rs for data pairs (x, y). What is the monotone relationship, if any, between x and y implied by a value of (a) rs = 0? (b) rs close to 1? (c) rs...
Solve Prob. 4.146 subject to the restriction that H must lie on the y axis. Problem 4.146: Two 3 6-Ã ft plywood panels each weighing 30 lb are nailed together as shown. The panels are...
FRAUD PREVENTION AND DETERRENCE IN ACTION Assume the following facts: thirty-day collection period. The invoice is used to post-sales to the accounting system. Checks are received in the mailroom and...
Jacobs Manufacturing produces a popular custom accessory for pickup trucks at plants in Huntington, West Virginia and Bakersfield, California, and ships them to distributors in Dallas, Texas;...
Objectives: Your company is currently planning to automate many different system administration tasks. Your manager has asked you to research a system administration task and implement it using...
The uniaxial bar shown in figure 2.21 is of uniform cross sectional area $A$ and length $L$. It is clamped at the left end and subjected to a concentrated force $F$ at the right end as shown....
Solve the differential equation given in eq. (2.1) for $p(x)=1$ using the Galerkin finite element method. Assume that the domain $0 \leq x \leq 1$ is divided into two equallength elements....
Inspection of physical evidence is a control test used by auditors. It: (a) Relies on questioning skills. (b) Is subject to a limitation because employees may be more diligent when they know they are...
A customer came into the Taxpayer Assistance Center and requested a technical publication on sale of rental property, because he is thinking about selling his rental property. The publication is...
During the photoelectric experiment, the stopping voltage resulted in maximum electron KE of 1.7 eV. If the work function of the cathode is 3.2 ev, what is the wavelength of the light source used for...
Your client records mortgage backed securities valued at $70,000,000. You develop your own estimate and determine the reasonable range of values to be between $55,000,000 and $65,000,000. However,...
How will Portugal penalise a Spanish company's permanent establishment which has been discovered to not have established its status in Portugal. reference legislation and explain
1. Describe the general adaptation syndrome? a. list 4 ways to reduce high cortisol levels. 2) What hormones are produced by the endocrine portion of the pancreas? a. Name the cell that produces...
The temperature of the glass surface of a 60-W lightbulb is d65oC when the room temperature is 18oCm Estimate the temperature of a 150-W lightbulb with a glass bulb the same size. Consider only...
At the beginning of its fiscal year, Lakeside Inc. leased office space to LTT Corporation under a seven-year operating lease agreement. The contract calls for quarterly rent payments of $25,000 each....
Explain the need for a relational database for PCs. What improvements has it seen over the years?
Each team member should design an appropriate input display for Maverick Transport using either a CASE tool, a drawing tool such as Microsoft Visio, or paper and pencil. Share your results with your...
The Carol, Tracy, & Leslie Realty Corporation specializes in locating homes for prospective buyers. Home information is stored in a database and is to be shown on an inquiry display screen. Design a...
Derek purchases a small business from Art on August 30, 2022. He paid the following amounts for the business: Line Item Description Amount Fixed assets $170,000 Goodwill 50,000 Covenant not to...
Account information Accrued Liabilities $ 23,000 Accounts Payable $ 36,000 Long-term Note Payable Accounts Receivable, net Cash 100,500 Retained Earnings ? 100,000 Interest Expense 10,850 35,000...
The hospital has several specialized departments like Cardiology. Gynecologic, Orthopedics, Pediatrics, ENT etc. OPD is another independent department. A doctor is only associated with one...

Consider the following differential equation: Assume a solution of the form: (tilde{u}(x)=c_{1} x+c_{2} x^{2}). Calculate the unknown

Question:

du +u+x=0, 0x1 dr u(0)=0 du = 1. dr x=1

Step by Step Answer:

Introduction To Finite Element Analysis And Design

Students also viewed these Computer science questions