Hello all, This is my first time that I\'m reading about these topics;And I\'d l

Question

Hello all,

This is my first time that I'm reading about these topics;And I'd like you to help me find some refrences about them.

Also I would be very greatful if you put Pdf links, videos,and examples that explain the following topics:-

(Introduction to Perturbation Expansions.)

1- A Perturbation Expansion.

Exact solution

2- Roots of plynaomials

Regular and singular perturbation expansion.

3-Initial value problems

4-Expansions involving the independent variable.

Convergent and divergent series.

Asymptotic series.

Optimum truncation rule.

The error function.

Comparison with a convergent series.

Thank you .

Explanation / Answer

Links are given below for the above mention topics.
1.A Perturbation Expansion::
http://farside.ph.utexas.edu/teaching/qmech/Quantum/node115.html

2- Roots of plynaomials::Regular and singular perturbation expansion.
http://oldwww.ma.man.ac.uk/~gajjar/magicalbooks/methods/notest1_2se27.html

3-Initial value problems::
http://www.westga.edu/~faucette/teaching/Calculus/Chap5/InitValueProbs.html
https://www.google.co.in/url?sa=t&rct=j&q=&esrc=s&source=web&cd=12&ved=0ahUKEwiRi4C-29jLAhVCj44KHdyRBvAQFghhMAs&url=http%3A%2F%2Fwww2.latech.edu%2F~schroder%2Fslides%2FDE_slides%2Fseparable_IVP.pdf&usg=AFQjCNEAJScIn4UAgFB9hSNCAgkxmRo39A&sig2=q2NzprtlxWoASczlMUz0QA.

https://www.google.co.in/search?sourceid=chrome-psyapi2&ion=1&espv=2&ie=UTF-8&q=Initial%20value%20problems&oq=Initial%20value%20problems&aqs=chrome..69i57j0l5.4868j0j7

4-Expansions involving the independent variable::

5 Convergent and divergent series::
http://math.bard.edu/belk/math142af09/ConvergenceDivergenceNotes.pdf.

6.Asymptotic series::
https://www.math.ucdavis.edu/~hunter/notes/asy.pdf.
7. Optimum truncation rule.
folk.uib.no/ima083/courses_files/LESSON4.PDF
8 The error function.
http://mathworld.wolfram.com/Erfc.html

9. Comparison with a convergent series.
https://www.csusm.edu/mathlab/documents/SeriesConvergeDiverge.pdf

Related Questions

Navigate

• Browse (All)
• Browse H
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.