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I want to solve non-homogenous PDE's (or PDE's system) by the method. I am looking for the notes, books etc. including theory and examples with solution about the method.

If I find right book, I can buy the book. But I don' t find adequate materials on the internet. (May be I don' t know right keywords for the search.)

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  • $\begingroup$ "by the help of the method" ?? $\endgroup$ – Hirak Mar 29 '17 at 13:25
  • $\begingroup$ @Hirak eigenfunction expansion. $\endgroup$ – Piotr Benedysiuk Mar 29 '17 at 13:25
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in my courses I used the:

Applied Partial Differential Equations with Fourier Series and Boundary Value Problems: Pearson New International Edition

which covers basics like SoV, Greens functions, Fourier and yes, Eigenfunction expansions! It was a good introduction to the subject I'd say.

EDIT:

Also, google search for "eigenfunction expansion for pde" gave me lots of good hits.

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