Quasi Wavelet For The Fractional Integro-differential Equations

In memory of the materials with heat transfer, porous viscoelastic media compression, fluctuation, atomic reaction kinetics and dynamic population and so on, often appear parabolic partial integral differential equation, and there-fore solved the partial integral differential equation is very important and have more important practical significance. At present,The research on such ques-tions of research literature have had many at home and abroad. For example, foreign V.T homee [6,7], V.M clean [June],Ch. Lubich [13], Fairweather [16,17,18,29,341], and so on, the domestic ChenChuanMiao [2,20,46], Liu-FaWang [and], xu big [1,4,10,15,24],XuChuanJu [11], ShangTao [9], and so on, they study in such question respectively.A finite difference method, the finite element method, the spectrum allocation methods, the spline collocation method and so on.This paper mainly discusses how to use the quasi wavelet numerical method to explore such problem. Full text is divided into six chapters, the first chapter for introduction. The second chapter overview of the wavelet analysis and development history, this paper expounds the wavelet analysis of some of the basic theory.In the third chapter for the theory of quasi wavelet and algorithm. In the fourth chapter quasi wavelet discrete algorithm A class of nonlinear partial differential equations and integral verify the accuracy and ef-fectiveness numerical solution. Space with small wave method to the direction of discrete, time with direction,Second order LongGe coulthard approximation method, a memory used trapezoidal formula processing. Chapter5studies a fractional order partial integral differential equation. Time with the direc-tion of the euler formula approximation, the space with the direction of quasi wavelet approach.In chapter6conclusion and follow up...