Document from the year 2009 in the subject Mathematics - Applied Mathematics, Kursk State University, language: Russian, abstract: This textbook (in Russian) is devoted to the methods of signal and image processing based on the solution of partial differential equations and other corresponding methods of Mathematical Physics. Such topics as Edge Detection, Diffusion Smoothing, and Wavelet Transform are considered. All of them are supplied with the examples and exercises for FlexPDE 5. The short introduction into this software is also provided. ??????? ??????? ????????? ??????? ????????? ???????? ? ???????????, ?????????? ?? ??????? ???????????????? ????????? ? ??????? ??????????? ? ?????? ????????????? ??????? ?????????????? ??????. ??????????? ????? ???? ??? ????????? ????????, ???????????? ??????????? ? ???????-??????????????. ??? ??? ?????????????? ????????? ? ???????????? ? FlexPDE 5. ????? ????, ???????????? ??????? ???????? ? ?????? ??????????? ???????????.