16972

16972

حل معادله فوكر پلانك به روشهاي تحليلي و عددي

كارشناسي ارشد

آناليز عددي

تابستان 1395

دكتر محمد سعيدي

دكتر جواد وحيدي

رياضي

1396/01/15

1/1/1900 12:00:00 AM

Abstract: In this dissertation,three methods,which are homotopy perturbation method an​d variational iteration method an​d wavelet method are used for solving the Fokker Plnck equation. In the Varational Iteration Method by using the correct functioal of the differntial equation which has made by selectingthe appropriate initial approximation,by using recursion relation an​d that u = limn!1 un ’ve gained answer the question. In the Homotopy Perturbation Method,first introduced a homotopy,secondly, cosider the answer in series an​d gains limit this series an​d earned equation. Wavelets constitute a family offunctions constructed from dilation an​d translation of a single function called the mother wavelet. Wavelet theory in applied mathematics is a relatively new events.math rich content an​d ability to use wavelets are so satisfied an​d confident that given the speed,engineers an​d members with diverse expertise drew to solve various problems with this theory. Keywords: Differential equation,Fokker Planck equation,Homotopy perturbation method,Variational iteration method,Wavelet