Solving Fractional Diffusion Equation by Wavelet Methods
Pp. 1-32 (32)
Zhijiang Zhang and Weihua Deng
The wavelet numerical methods for solving the classic differential
equations have been well developed, but their application in solving fractional
differential equations is still in its infancy. In this chapter we tentatively investigate
the advantages of the spline wavelet basis functions in solving the fractional PDEs.
Our contributions are as follows: 1. the techniques of efficiently generating stiffness
matrix with computational cost
Fractional PDEs, Wavelet preconditioning, Wavelet adaptivity, FFT
School of Mathematics and Statistics, Gansu Key Laboratory of Applied Mathematics and Complex Systems, Lanzhou University, Lanzhou 730000, P.R. China.