Current Developments in Mathematical Sciences

Volume: 1

Solving Fractional Diffusion Equation by Wavelet Methods

Author(s): Zhijiang Zhang and Weihua Deng

Pp: 1-32 (32)

DOI: 10.2174/9781681085999118010004

* (Excluding Mailing and Handling)


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

Keywords: Fractional PDEs, Wavelet preconditioning, Wavelet adaptivity, FFT and FWT.

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