## A NEW NUMERICAL TECHNIQUE FOR SOLVING FRACTIONAL SUB-DIFFUSION AND REACTION SUB-DIFFUSION EQUATIONS WITH A NON-LINEAR SOURCE TERM by

- A. H. Bhrawy, Dumitru Baleanu, Fouad MALLAWI
- 2015

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@article{Ding2013MixedSF, title={Mixed spline function method for reaction-subdiffusion equations}, author={Heng-fei Ding and Changpin Li}, journal={J. Comput. Physics}, year={2013}, volume={242}, pages={103-123} }

- Published 2013 in J. Comput. Physics
DOI:10.1016/j.jcp.2013.02.014

In this paper, we develop two classes of finite difference schemes for the reaction– subdiffusion equations by using a mixed spline function in space direction, forward and backward difference in time direction, respectively. It has been shown that some of the previous known difference schemes can be derived from our schemes if we suitably choose the spline parameters. By Fourier method, we prove that one class of difference scheme is unconditionally stable and convergent, the other is… CONTINUE READING

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