How can I get solved problems in numerical analysis in the topics 1 nonlinear systems 2 partial defriential equations 3 partial differential equation 
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I suggest you study books on mathematics. For example the next ones deal with the subjects you mentioned.
Stoer, Josef: Introduction to numerical analysis, New York : SpringerVerlag, 1980
Advances in numerical analysis
Volume 1 : Nonlinear partial differential equations and dynamical systems / edited by Will Light
Oxford : Clarendon Press, 1991
Pap, Endre: Partial differential equations through examples and exercises, Dordrecht : Boston : Kluwer Academic , cop. 1997
Gustafson, Karl E.: Introduction to partial differential equations and Hilbert space methods, Mineola : Dover, 1999
DiBenedetto, Emmanuele: Partial differential equations
You can also search these terms in the Internet.
Wikipedia e.g. gives these results:
http://en.… 