NUMERICAL PARTIAL DIFFERENTIAL EQUATIONS, Mathematics

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

Create a table with the number of components of each size, Look on the web ...

Look on the web for a data base that can be converted to an undirected graph. For example, in Science there is a data base of proteins and their interactions. Each protein can b

Hcf, the length of three pieces of ropes are 140cm,150cm and 200cm.what is ...

the length of three pieces of ropes are 140cm,150cm and 200cm.what is the greatest possible length to measure the given pieces of a rope?

Build an equation for a hyperboloid of two sheets, 1. Build an equation for...

1. Build an equation for a hyperboloid of two sheets with the following properties: a. The central axis of the hyperboloid is the y-axis b. The two sheets are 4 units apart, an

Gravity, There is a list of the forces which will act on the object. Gr...

There is a list of the forces which will act on the object. Gravity, F g The force because of gravity will always act on the object of course. Such force is F g = mg

Prime number, is 1 a prime number?

is 1 a prime number?

Evaluate the slope of the tangent line, Evaluate the given limits, showing ...

Evaluate the given limits, showing all working: Using first principles (i.e. the method used in Example 1, Washington 2009, Using definition to find derivative ) find the

Probability, If a school has lockers with 50 numbers on each co...

If a school has lockers with 50 numbers on each combination lock, how many possible combinations using three numbers are there.

Precalculus, Find the standard form of the equation of the parabola with a ...

Find the standard form of the equation of the parabola with a vertex at the origin and a focus at (0, -7).

Calculus (The squeeze theorem), When finding the limit as x approaches 0 th...

When finding the limit as x approaches 0 the for function (square root of x^3 + x^2) cos(pi/2x) would the limit not exist because there would be a zero in the denominator?

Conditional probability, examples of conditional probability

examples of conditional probability

Write Your Message!

Name

Email id

Message

Verfication Code

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

Submit Assignment

User Account

All Pages