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Numerical Solution to the Multi-Term Time Fractional Diffusion Equation in a Finite Domain

Numerical Solution to the Multi-Term Time Fractional Diffusion Equation in a Finite Domain
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Year:    2016

Numerical Mathematics: Theory, Methods and Applications, Vol. 9 (2016), Iss. 3 : pp. 337–357

Abstract

This paper deals with numerical solution to the multi-term time fractional diffusion equation in a finite domain. An implicit finite difference scheme is established based on Caputo's definition to the fractional derivatives, and the upper and lower bounds to the spectral radius of the coefficient matrix of the difference scheme are estimated, with which the unconditional stability and convergence are proved. The numerical results demonstrate the effectiveness of the theoretical analysis, and the method and technique can also be applied to other kinds of time/space fractional diffusion equations.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/nmtma.2016.y13024

Numerical Mathematics: Theory, Methods and Applications, Vol. 9 (2016), Iss. 3 : pp. 337–357

Published online:    2016-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    21

Keywords:   

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