NUMERICAL PARTIAL DIFFERENTIAL EQUATIONS, Mathematics

Assignment Help:

Our objective is solve the following fourth-order BVP:
(a(x)u'' )'' = f (x)
u(0) = u(1)=0
u(0)' = u(1)'=0

(a) Give the variational formulation of the above BVP.
(b) Describe the appropriate discrete space.
(c) Sketch the graph of a typical basis function.
(d) Derive the discrete formulas.
(e) Write a FEM matlab code for the above BVP and construct an example to test it. Sketch the graph of the exact solution vs the computed solution.

Related Discussions:- NUMERICAL PARTIAL DIFFERENTIAL EQUATIONS

Find out the average temperature, Find out the average temperature: E...

Find out the average temperature: Example: Find out the average temperature if the subsequent values were recorded: 600°F, 596°F, 597°F, 603°F Solution: Step

Find extrema & relative extrema f ( x ) = x3 on [-2, Recognizes the absolut...

Recognizes the absolute extrema & relative extrema for the given function. f ( x ) = x 3 on [-2, 2] Solution :

Write the equation of a circle, Example Write down the equation of a cir...

Example Write down the equation of a circle alongwith radius 8 & center ( -4, 7 ) . Solution Okay, in this case we have r =8 , h = -4 and k = 7 thus all we have to do i

Example to understand division means, My nephew had been introduced to divi...

My nephew had been introduced to division by his teacher Ms. Santosh, in Class 3. He, and several of his friends who had been taught by her, appeared to be quite comfortable with t

Calculate overhead in bit and time-synchronous communication, 2. Suppose...

2. Suppose a file of 35,000 characters is to be sent over a line at 55,000bps. 1. Calculate the overhead in bits and time using asynchronous transmission. Assume 1 start bit

Decmals, just want to go over it

just want to go over it

Systems of differential equations, In the introduction of this section we b...

In the introduction of this section we briefly talked how a system of differential equations can occur from a population problem wherein we remain track of the population of both t

Discrete mathematics for computing, Everything stored on a computer can be ...

Everything stored on a computer can be represented as a string of bits. However, different types of data (for example, characters and numbers) may be represented by the same strin

What division means, WHAT DIVISION MEANS : Ask any primary school teacher...

WHAT DIVISION MEANS : Ask any primary school teacher which areas in arithmetic the children find very difficult. Division will probably top her list. This is not surprising. If y

Matrices, det(adj A)for 1*1 matrix

det(adj A)for 1*1 matrix

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages