Naive regular perturbation of the form, Mathematics

Consider the equation

ex3 + x2 - x - 6 = 0, e > 0 (1)

1. Apply a naive regular perturbation of the form


do derive a three-term approximation to the solutions of (1).

2. The above perturbation expansion should only give you an approximation for 2 of the roots.

Apply a leading order balance argument to device suitable expansions for the other root, again in the limit e ! 0+. Again, derive a three-term approximation this third case.

3. Solve (1) numerically for e = 0.01 (use Matlab or Maple or something). Use your three-term approximation for the three roots found in Q1 and 2 and provide the error (in terms of a percentage) in each case.

Posted Date: 4/2/2013 6:30:34 AM | Location : United States

Related Discussions:- Naive regular perturbation of the form, Assignment Help, Ask Question on Naive regular perturbation of the form, Get Answer, Expert's Help, Naive regular perturbation of the form Discussions

Write discussion on Naive regular perturbation of the form
Your posts are moderated
Related Questions

Consider a database whose universe is a finite set of vertices V and whose unique relation .E is binary and encodes the edges of an undirected (resp., directed) graph G: (V, E). Ea

Determine the area of the regular octagon with the following measurements. a. 224 square units b. 112 square units c. 84 square units d. 169 square units b. See

Jess had a book with 100 pages to read she only read 10 how many pages does she have to read?

Decision Trees And Sub Sequential Decisions A decision tree is a graphic diagram of different decision alternatives and the sequence of events like if they were branches of a t

Mike sells on the average 15 newspapers per week (Monday – Friday). Find the probability that 2.1 In a given week he will sell all the newspapers [7] 2.2 In a given day he will

G raph y = sec ( x ) Solution: As with tangent we will have to avoid x's for which cosine is zero (recall that sec x =1/ cos x) Secant will not present at

Write a function that computes the product of two matrices, one of size m × n, and the other of size n × p. Test your function in a program that passes the following two matrices t