How can I get solved problems in numerical analysis in the topics 1 nonlinear systems 2 partial defriential equations 3 partial differential equation

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 : Springer-Verlag, 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.wikipedia.org/wiki/Partial_differential_equation
http://en.wikipedia.org/wiki/Nonlinear
http://en.wikipedia.org/wiki/Numerical_analysis

Other resources:
http://mathworld.wolfram.com/PartialDifferentialEquation.html
http://tutorial.math.lamar.edu/AllBrowsers/1314/NonLinearSystems.asp