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In most of the books I've seen, the authors explain various methods for solving partial differential equations, sometimes give recommendations about usage and limitations of the approach, but I never seen a complete algorithm or a guide how to choose an appropriate method. For example

  1. Determine type of you PDE (type, order, linear/nonlinear etc)
  2. If the PDE is linear, try method one.
  3. If not, but the coefficients satisfy the conditions, try method two.

I would expected such a guide in various "PDE for engineers" books, but they do not have it. It would be also nice to have a summary or roadmap for pros and con of the different methods. Could anybody suggest such a book?

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    @zeliboba: OK, done.2012-06-03

1 Answers 1

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A complete algorithm is probably too much to ask for, but you might be interested in "Handbook of Differential Equations" by Daniel Zwillinger. (Google Books link.)

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    it also has a (rather expensive) CD-ROM version http://www.amazon.com/exec/obidos/AS$I$N/0127843965/zwillingerhomepa (just for a reference)2012-06-03