Several Numerical Methods For Solving Fractional Differential Equations

In recent years, the extensive application of the fractional differential equation in many modern scientific technique realms makes the research of its numerical method in and abroad prospers. Therefore, the research of numerical method of the fractional differential equation is of important theory significance and practical value.This thesis consists of five chapters. Chapter 2 introduces the linear multi-step method of the fractional differential equation which includes Fractional Order Euler method, Fractional Order BDF method, and Fractional Order decline order BDF method. Chapter 3 A stability analysis that carried on the method, acquired stable area of the method, Chapter 4 give method of consist order. Chapter 5 to text the numerical method put forward carries on the numerical experiment, special two fractional differential equation problem within biologies carries on the test, the number result enunciation method is valid. The article last part we carry on summary's combine to this text to put forward the outlook to the work of the future.